Answer:
The absolute vale of x in equation 2 is greater than the absolute value of x in equation 1
Step-by-step explanation:
Equation 1
|5x + 6| = 41.......................finding the absolute value of x
5x+6=41
5x=41-6
5x=35........................divide by 5 both sides
x=35/5= 7
|x|=7
Equation 2
|2x + 13| = 28........................find the absolute value of x
2x+13=28
2x=28-13
2x=15........................................divide by 2 both sides
x=15/2 =7.5
|x|=7.5
Conclusion
The absolute vale of x in equation 2 is greater than the absolute value of x in equation 1
Answer:
Solution of inequality 1:
[tex]x \in [\frac{-47}{5}, 7][/tex]
Solution of Inequality 2:
[tex]x \in [\frac{-41}{2}, \frac{15}{2}][/tex]
Step-by-step explanation:
We are given two inequalities:
Inequality 1
[tex]\mid 5x + 6 \mid = 41\\-41 \leq 5x + 6 \leq 41\\-47 \leq 5x \leq 35\\\frac{-47}{5} \leq x \leq 7\\x \in [\frac{-47}{5}, 7][/tex]
Inequality 2
[tex]\mid 2x + 13 \mid = 28\\-28 \leq 2x +13 \leq 28\\-41 \leq 2x \leq 15\\\frac{-41}{2} \leq x \leq \frac{15}{2}\\x \in [\frac{-41}{2}, \frac{15}{2}][/tex]
Solution of inequality 1:
[tex]x \in [\frac{-47}{5}, 7][/tex]
Solution of Inequality 2:
[tex]x \in [\frac{-41}{2}, \frac{15}{2}][/tex]
Use the zero product property to find the solutions to the eqation 6x^2 -5x=56
Answer:
B. 7/2, -8/3
Step-by-step explanation:
Move all the terms to the left side and set them equal to zero. Then set each factor equal to zero.
Verify the identity.
cos(x+pi/2) = -sinx
Answer:
see explanation
Step-by-step explanation:
Using the cosine addition identity
cos(x + y) = cosxcosy - sinxsiny
and cos([tex]\frac{\pi }{2}[/tex]) = 0, sin([tex]\frac{\pi }{2}[/tex]) = 1
cos(x + [tex]\frac{\pi }{2}[/tex])
= cosxcos([tex]\frac{\pi }{2}[/tex]) - sinxsin([tex]\frac{\pi }{2}[/tex])
= cosx × 0 - sinx × 1
= 0 - sinx
= - sinx
The average cricket jumps vertically with an initial upward of 10 ft/s. What is the hang time of such a jump, ignoring air resistance? Use the formula h=-16t^2+10t, where h is the height of the cricket in feet and t is the time in seconds after the jump. Round your answer to the nearest tenth.
Answer:
The hang time is 0.63 seconds
Step-by-step explanation:
We want to find out what the cricket's fall time is and we have the function that describes its height as a function of time.
The cricket is on the ground when its height is equal to zero. Therefore we must equal h to zero and solve the equation for t ..
[tex]h=-16t^2+10t\\\\-16t^2 +10t=0\\\\\\[/tex]
We take t as a common factor
[tex]-16t^2 +10t=0\\\\t(10-16t)=0[/tex]
Then the height is zero when t = 0 and when (10-16t) = 0
[tex]t=0[/tex]
[tex]10-16t= 0[/tex]
[tex]10 = 16t[/tex]
[tex]t=\frac{10}{16}\\\\t= 0.63\ sec[/tex]
At t = 0 seconds the cricket is still on the ground.
Then the cricket is in the air and after 0.63 seconds the cricket falls back to the ground
Complete the square:
[tex]-16t^2+10t=-16\left(t^2-\dfrac58t\right)=-16\left(t^2-\dfrac58t+\dfrac{25}{256}-\dfrac{25}{256}\right)=-16\left(t-\dfrac5{16}\right)^2+\dfrac{25}{16}[/tex]
That is, [tex]h(t)[/tex] has a maximum value of [tex]\dfrac{25}{16}\approx1.6[/tex] ft when [tex]t=\dfrac5{16}\approx0.3[/tex] s. It takes the cricket twice as much time to jump up to its maximum height and return to the ground, so that the hang time is about 0.6 s.
Heyy ! I need help , how does one find the volume of an octagonal prism ?
The formula would be V
=
2
(
1
+
2
)
a
2
h
if the line segments has the end points (1,-1) and (3,3) .Then what is the midpoint
Answer:
(2, 1)
Step-by-step explanation:
Using the midpoint formula
midpoint = [ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (3, 3)
= [ [tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex](- 1 + 3) ]
= (2, 1)
I want to paint all three walls of the kitchen. One was a half cylinder. I want to paint the walls only not the ceiling. The walls are 9-foot high how many square feet will I be painting round to the nearest tenth
Answer:
[tex]490.9\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The total area is equal to
[tex]A=10(h)+2\pi r(h)+10(h)[/tex]
we have
[tex]h=9\ ft[/tex]
[tex]r=5.5\ ft[/tex]
[tex]\pi=3.14[/tex]
substitute
[tex]A=10(9)+2(3.14)(5.5)(9)+10(9)[/tex]
[tex]A=490.9\ ft^{2}[/tex]
What is the perimeter of the pentagon?
Regular pentagon with each side labeled twelve feet.
Answer:
60 feet
Step-by-step explanation:
Pentagon = 5 sides
We need to find the perimeter of the pentagon and we know that one side is 12 feet so,
1 side = 12 feet
( Multiply by 5 to get 5 sides )
5 sides = 60 feet
Answer:
60 feet.
Step-by-step explanation:
A regular pentagon has 5 sides equal in length.
Therefore the perimeter of this one is 5 * 12 = 60 feet.
Solve the system of equations 6x-5y=15 x=y+3
Step 1: In the equation 6x - 5y = 15 everytime you see the "x" plug in y+3. This will solve for y
6(y + 3) - 5y = 15
Step 2: Distribute the 6 to all the numbers in the parentheses
6y + 18 - 5y = 15
Step 3: Combine like terms (6y and -5y)
(6y - 5y) + 18 = 15
y + 18 = 15
Step 4: Isolate y by subtracting 18 to both sides
y + (18-18) = 15 -18
y = -3
Step 5: Plug y (-3) into the equation x= y + 3 to solve for x
x = -3 + 3
x = 0
For this system of equations y = -3 and x = 0
Hope this helped!
The solution to the system of equations 6x-5y=15 and x=y+3, using the substitution method, results in x = 0 and y = -3.
To solve the system of equations 6x-5y=15 and x=y+3, we can use the method of substitution since one equation is already solved for one of the variables. First, we replace x in the first equation with the expression from the second equation, (y + 3), resulting in a new equation 6(y + 3) - 5y = 15. Simplifying that gives 6y + 18 - 5y = 15, which simplifies to y = -3. Substituting y = -3 back into the second equation gives x = 0.
A pendulum has 991 J of potential energy at the highest point of its swing. how much kinetic energy will it have at the bottom of its swing?
Your Answer:
Answer:
units:
Answer:
991 J
Step-by-step explanation:
At the bottom of the swing all of the potential energy has been converted to kinetic energy (assuming a lossless system).
Answer:
991 J
Step-by-step explanation:
At the highest point, an object has maximum potential energy and no kinetic energy. And at its lowest point, an object has maximum kinetic energy and no potential energy. All of the potential energy it had was converted into kinetic.
Multiply.
(d-8)(d+8)
Simplify your answer.
Answer:
d^2 - 64
Step-by-step explanation:
This is the difference of squares. The middle 2 terms cancel out.
d^2 - 8d + 8d - 8*8
d^2 - 64
FOIL
FIRST
OUTSIDE
INSIDE
LAST
First:
(d-8)(d+8)
d * d
[tex]d^{2}[/tex]
Outside:
(d-8)(d+8)
d * 8
8d
Inside:
(d-8)(d+8)
-8 * d
-8d
Last:
(d-8)(d+8)
-8 * 8
-64
so...
d^2 + 8d + (-8d) + (-64)
d^2 - 64
Hope this helped!
Which description can be written as the expression n/4 - 13?
Answer:
Step-by-step explanation:
Weren't there possible answer choices? Whenever there are, would you please share them. Thank you.
n/4 - 13 could be written "13 less than one quarter of the number n."
Plz help me with this
Answer: average = 4
standard deviation = 0.38
Step-by-step explanation:
Average (aka Mean) = (4 + 3.5 + 4.5 + 4.2 + 3.8)/5 = 20/5 = 4
[tex]\text{Standard Deviation = }\sqrt{\dfrac{1}{n-1}\sum(x-\overline{x})^2}\\\bullet n=5\\\bullet x=4\\\\\\SD=\sqrt{\dfrac{1}{5-1}[(4-4)^2+(4-3.5)^2+(4-4.2)^2+(4-3.8)^2]}\\\\\\.\quad =\sqrt{\dfrac{1}{4}[0+0.25+0.25+0.04+0.04]}\\\\\\.\quad =\sqrt{\dfrac{0.58}{4}}\\\\\\.\quad =0.38078[/tex]
What is a quadrilateral that has no lines of symmetry
Answer:
A parallelogram is a quadrilateral with no axis of line symmetry.
Answer:
parallelogram
Step-by-step explanation:
a parallelogram does not have an axis of a line of symmetry
The x coordinate of the solution to the system of equations y=x+4 and 3y=-2x+2
The answer is:
The x-coordinate of the solution to the system of equations is:
[tex]x=-2[/tex]
Why?We can solve the problem writing both equations as a system of equations.
So, we are given the equations:
[tex]\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.[/tex]
Then, solving by reduction we have:
Multiplying the first equation by 2 in order to reduce the variable "x", we have:
[tex]\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.[/tex]
[tex]5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2[/tex]
Now, substituting "y" into the first equation, to isolate "x" we have:
[tex]y=x+4\\\\2=x+4\\\\x=2-4=-2[/tex]
Hence we have that the x-coordinate of the solution to the system of equations is
[tex]x=-2[/tex]
Have a nice day!
Answer:
The x coordinate of the solution is -2
Step-by-step explanation:
* To find the x-coordinate of the solution to the system of the
equations y = x + 4 and 3y = -2x + 2 solve the equations by the
substitution method
- In the substitution method we substitute one of the two variables
by the other to make an equation of one variable
∵ y = x + 4 ⇒ (1)
∵ 3y = -2x + 2 ⇒ (2)
- Substitute the value of y in equation (2) by the value of y in equation (1)
∵ The value y = 4 + x in the equation (1)
- Put this value of y in the equation (2)
∴ 3(x + 4) = -2x + 2 ⇒ open the bracket
∴ 3x + 12 = -2x + 2 ⇒ subtract 12 from both sides
∴ 3x = -2x - 10 ⇒ add 2x to both sides
∴ 5x = -10 ⇒ divide both sides by 5
∴ x = -2
* The x coordinate of the solution is -2
CAN SOMEONE HELP ME ANSWER THIS PLEASE
Answer:
20 times
Step-by-step explanation:
Since the probability of spinning a 4 and a C is [tex]\frac{1}{12}[/tex]
We're assuming this is proportional so the amount that you'll get if you spin it 240 times is [tex]\frac{1}{12}[/tex] of 240.
240 / 12 = 20
Answer:20 times
If you were to spin the wheel once the probability will be [tex]\frac{1}{12}[/tex]
now the question asks for you to find out how many times will the spinner point at both C and 4 if it were spun 240 times
All you have to do is use the formular
probability × number of trials
which is : [tex]\frac{1}{12}[/tex] × 240
and that will give you 20 times
What is the following product sqrt 12 times sqrt 18
Answer:
6√6 or 14.69694 (hope this helps)
Step-by-step explanation:
Product [tex]\sqrt{12}[/tex] times [tex]\sqrt{18}[/tex] is 6[tex]\sqrt{6}[/tex].
How to find the product of square roots?The square root of 12 can be written as
[tex]\sqrt{12} = \sqrt{2*2*3} = 2\sqrt{3}[/tex]
The square root of 18 can be written as
[tex]\sqrt{18} = \sqrt{2*3*3} = 3\sqrt{2}[/tex]
so, [tex]\sqrt{12} *\sqrt{18} = 2\sqrt{3} * 3\sqrt{2}[/tex]
=6[tex]\sqrt{3*2}[/tex]
=6[tex]\sqrt{6}[/tex]
To learn more about square root, refer :
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PLEASE FIND SURFACE AREA OF THIS CYLINDER. URGENT!!!
Answer:
131.9468915
Step-by-step explanation:
Side length= 6*4*pi
Circles=2(9*pi)
Add them and you get that answer.
Easy! The formula to help with surface area is the first equation.
Choose the correct graph of the given system of equations.
y + 2x = −1
3y − x = 4
Answer:
The correct graph is which x= -1 and y =1
Step-by-step explanation:
The question is on simultaneous equations
2x+y= -1.........................(a)
-x+3y = 4
Eliminate on side of the equation;
{2x+y= -1} 3
{-x+3y = 4} 1
open brackets
6x + 3y = -3
-x + 3y = 4......................eliminate y by subtraction
7x= -7.....................divide both sides by 7
x= -7/7 = -1......................use this in (a) above
2x+y = -1
2(-1) + y = -1
-2 +y = -1
y= -1+2 = 1
hence x= -1 and y = 1
Jeannie discovered that the ratio of kilometers to miles is 1 to 0.6. When her family was driving in Canada, she saw a sign that said it was 80 kilometers to Moncton. How many miles do they have to drive to get to Moncton?
Answer:
48 miles
Step-by-step explanation:
1 Kilometer = 0.6 miles
80 kilometers = X miles
1 kilometer/0.6 miles = 80 kilometers/X miles
then cross multiply the ratio
X (1) = 80 (0.6)
X=48 miles
Answer:
48
Step-by-step explanation:
CAN ANYBODY FIGURE THIS OUT
Because you are told the two are similar, find the ratio of them.
Side AB = ft and side EF is 25 feet.
This means the larger rectangle is 5 times larger ( 25 /5 = 5).
Area is in square units, so square the ratio: 5^2 = 25
The area of the larger rectangle is 25 times the area of the smaller one.
Area = 35 x 25 = 875 ft^2
Find the circumference and the area of the
Answer:
65.97 - Circumference
346.36 - Area
Sorry if this was incorrect ^^'
An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2 7 of all eggs are green, 1 4 of all are blue and the rest 26 eggs are red.
Answer:
56 eggs
Step-by-step explanation:
If [tex]\frac{2}{7}[/tex] of all eggs are green, [tex]\frac{1}{4}[/tex] of all are blue, then
[tex]1-\dfrac{2}{7}-\dfrac{1}{4}=\dfrac{28-2\cdot 4-7}{28}=\dfrac{13}{28}[/tex]
of all eggs are red.
We know that there are 26 red eggs
[tex]26\text{ eggs }-\dfrac{13}{28}\\ \\x\text{ eggs }- 1[=\dfrac{28}{28}][/tex]
Make a proportion
[tex]\dfrac{26}{x}=\dfrac{\frac{13}{28}}{1}\\ \\26\cdot 1=x\cdot \dfrac{13}{28}\ [\text{Cross multiply}]\\ \\13x=26\cdot 28\ [\text{Multiply by 28 to get rid of fraction}]\\ \\x=\dfrac{26\cdot 28}{13}\ [\text{Divide by 13 to get x}]\\ \\x=2\cdot 28\\ \\x=56[/tex]
amber makes 8.50 an hour working in a boutique. what is her gross pay if she works 38 hrs in a week?
The answer I think is 1615
The gross pay if she works 38 hrs in a week will be $ 323.The pay of one hour is 8.50.
What is gross pay?The total amount of the money a peson obtained for his work as salary is the gross pay.
The amount amber makes in an hour = $ 8.50
The gross pay when she work 38 hrs in a week is found as;
Gross pay = 38 ×8.50
Gross pay =$ 323
Hence, the gross pay if she works 38 hrs in a week will be $ 323.
To learn more about the gross pay refer to the link;
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Find x please help.
Answer:
x = +√96 = +√(16*6) = + 4√6
Step-by-step explanation:
Note that this is a large triangle with 2 smaller, similar triangles inside. The base of the large triangle is 10, so the base of either of the smaller triangles is half that, or 5. These are all right triangles. We can now apply the Pythagorean Theorem to find x.
According to this Theorem, x² + 5² = 11², so that x² = 121 - 25 = 96.
Taking the positive square root to be the desired side length x,
x = +√96 = +√(16*6) = + 4√6
You stand at point C and look at an aquarium tank. Calculate the radius of the aquarium tank.
Answer:
The radius of the aquarium tank is [tex]8.25\ ft[/tex]
Step-by-step explanation:
we know that
Applying the Tangent Secant Theorem
[tex]DC^{2}=AC*8[/tex]
we have that
[tex]AC=(D+8)\ ft[/tex]
[tex]DC=14\ ft[/tex]
substitute
[tex]14^{2}=(D+8)*8[/tex]
[tex]196=8D+64[/tex]
Solve for D
[tex]8D=196-64[/tex]
[tex]8D=132[/tex]
[tex]D=16.5\ ft[/tex]
Find the radius
The radius is half the diameter
[tex]r=16.5/2=8.25\ ft[/tex]
Answer:
8.25
Step-by-step explanation:
DC = 14ft
AC = 8ft + the diametre
Lets use d for diametre
The equation we are using is the Segments of Secants and Tangents Theorem, which is [tex]DC^{2}[/tex] = 8ft (or the outside segment) * AC (the whole segment)
[tex]14^{2}[/tex] = 8 * (8 + d)
196 = 64 + 8d
Subtract 64 from 196 to get: 132 = 8d
Divide 8 from 132 to get: d = 16.5
Now the diametre is 16.5, but the radius is half the diametre, so now you have to do: 16.5 / 2
So the radius would end up being 8.25
What is 25% of 75?
Answer now! High value question on the market!
[ Really! ]
Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}\\\\25\%=\dfrac{25}{100}=0.25\\\\25\%\ of\ 75\to 0.25(75)=18.75[/tex]
[tex]75 \div x = 100 \div 25[/tex]
[tex]x = \frac{75 \times 25}{100} [/tex]
[tex]x = 18.75[/tex]
GRADUATING THIS WEEK NEED THIS ALL ANSWERED
5. Tanika drove 189 miles. She drove 63 miles per hour. For
how many hours did Tanika drive? t=. hours
6. -2x< 4
7. 5t+7< 32
t=
8. 12s-17 2s +33
SE
9. -8m >-24
m=
10. 8n+7 > 4n+35
n=
Answer:
3 hours
Step-by-step explanation:
We have the amount of miles that Tanika passed, 189 miles. We also have the speed at which Tanika was driving, 63 miles per hour. Basically, Tanika was passing 63 miles on every one hour of driving. In order to find out how much time was Tanika driving with that speed to pass those miles, we just simply need to divide the miles passed with the speed of driving:
189 / 63 = 3
So we have a result of 3, thus Tanika needed three hours with a speed of 63 miles per hour to pass 189 miles.
Question 1:
For this case we can raise a rule of three:
63 miles ---------------> 1 hour
189 miles -------------> x
Where "x" represents the number of hours it takes Tanika to travel 189 miles.
[tex]x = \frac {189 * 1} {63}\\x = 3[/tex]
So, Tanika takes 3 hours to travel 189 miles
Answer:
Three hours
Question 2:
For this case we must solve the following equations:
A) [tex]-2x <4[/tex]
Dividing between -2 on both sides of the inequality:
[tex]x <\frac {4} {- 2}\\x <-2[/tex]
B) [tex]5t + 7 <32[/tex]
We subtract 7 on both sides of the inequality:
[tex]5t <32-7\\5t <25[/tex]
Dividing between 5 on both sides of the inequality:
[tex]t <\frac {25} {5}\\t <5[/tex]
C) [tex]12s-17 \geq2s + 33[/tex]
We subtract 2s on both sides of the inequality:
[tex]12s-2s-17 \geq33\\10s-17 \geq33[/tex]
We are 17 on both sides of the inequality:
[tex]10s \geq33 + 17\\10s \geq50[/tex]
We divide between 10 on both sides of the inequality:
[tex]s \geq \frac {50} {10}\\s \geq5[/tex]
D) [tex]-8m> -24[/tex]
Dividing between -8 on both sides of the inequality:
[tex]m> \frac {-24} {- 8}\\m> 3[/tex]
E) [tex]8n + 7> 4n + 35[/tex]
Subtracting 4n on both sides of the inequality:
[tex]8n-4n> 35-7\\4n> 28[/tex]
Dividing between 4 on both sides of the inequality:
[tex]n> \frac {28} {4}\\n> 7[/tex]
Answer:
[tex]x <-2\\t <5\\s \geq5\\m> 3\\n> 7[/tex]
the red trail is 3 1/4 miles long. the blue trail is 7/8 times as. long as the red trail. a group finished hiking 3/5 of the red trail when it started to rain. what is the distance that they hiked before it started to rain?
Answer:
2 13/20
Dude the blue trail is trying to trick you. scratch it out.
Step-by-step explanation:
Make the denominators the same
3 1/4 -->3 5/20
3/5 --> 12/20
covert this to an improper fraction-->3 5/20 --> 65/20
Subtract 65/20 - 12/20= 53/20
simplify 53/20 --> 2 13/20
Final answer:
To find the distance hiked before it started to rain, the length of the red trail (3 1/4 miles) is multiplied by 3/5, giving a distance of 1.95 miles.
Explanation:
The student has asked about the distance hiked on the red trail before it started to rain. To find the distance, we need to calculate 3/5 of the red trail length, which is 3 1/4 miles long. First, we must convert the mixed number to an improper fraction. 3 1/4 miles can be expressed as (3 × 4 + 1)/4 = 13/4 miles. Then we multiply 13/4 by 3/5 to find the distance hiked: (13/4) × (3/5) = (13 × 3) / (4 × 5) = 39/20. Converting this back to miles gives us 1.95 miles.
A bed room set is being sold for $5500 if bought cash. The set can be bought on
hire purchase by making a down payment of $1500 followed by 24 months
payments of $175 each. Calculate:
the total installments paid
the hire purchase price
the amount saved by paying cash.
Dion bought a new keyboard on hire-purchase. The cash price was $2400. He
paid a 25% deposit followed by 24 monthly payments of $120 each. Calculate
the amount of the deposit paid
the total monthly payments made
the hire purchase price
the difference between the cash price and the hire purchase price
Mr. Baker bought a gas stove on hire-purchase. The cash price was $850. H
a 15% deposit followed by 18 monthly payments of $42 cach.
Calculate:
Answer:
A bed room set is being sold for $5500 if bought cash. The set can be bought on hire purchase by making a down payment of $1500 followed by 24 months payments of $175 each. Calculate:
the total installments paid
24 ($175) = $4200
the hire purchase price
$1500 + $4200 = $5700
the amount saved by paying cash.
$5700 - $5500 = $200 saved by paying cash
Dion bought a new keyboard on hire-purchase. The cash price was $2400. He paid a 25% deposit followed by 24 monthly payments of $120 each. Calculate
the amount of the deposit paid
$2400 * .25 = $600
the total monthly payments made
$120 * 24 = $2880
the hire purchase price
$600 + $2880 = 3480
the difference between the cash price and the hire purchase price:
$3480 - $2400 = $1920
Mr. Baker bought a gas stove on hire-purchase. The cash price was $850. H
is 15% deposit followed by 18 monthly payments of $42 each.
amount of deposit paid: $ 850 * .15 = $127.50
total monthly payments: $42 * 18 = $756
hire purchase price: $127.50 + $756 = 977.50
difference between cash price and hire purchase price:
$883.50 - $850 = $33.50
***since the last one didn't have extra info to ask...I used the same information from the 2nd one***
Step-by-step explanation:
Which is a true statement about the diagram?
A- m25+ m26 = m_1
B- m23 + m24+ m25 = 180°
C- mz1 + m_2 = 180°
D- m22 + m23 = m_5
Answer:
C
Step-by-step explanation:
The statement deduced from the diagram is m∠1 + m∠2 = 180°
What is an angle?An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.
From the diagram:
m∠1 + m∠2 = 180° (sum of angles in a straight line)
The statement deduced from the diagram is m∠1 + m∠2 = 180°
Find out more on angle at: https://brainly.com/question/25770607