The sum of the two vertical angles (4x - 7) and (2x - 13) is 33 degrees.
Explanation:To find the sum of the two vertical angles, we need to equate the expressions representing the measures of the angles and solve for x.
(4x - 7) = (2x - 13)
4x - 7 = 2x - 13
2x = -6
x = -3
Now we can substitute x = -3 back into one of the expressions to find the angle measures.
Angle 1 = (4x - 7) = (4(-3) - 7) = -12 - 7 = -19
Angle 2 = (2x - 13) = (2(-3) - 13) = -6 - 13 = -19
The sum of the two angle measures is: -19 + -19 = -38
Since angle measures cannot be negative, we can conclude that the sum of the two angle measures is 38 degrees. Answer choice (c) 66 is incorrect because the sum is not positive. The correct answer is (a) 33 degrees.
3 - z/4 = 8
what is the solution of this equation ?
Answer:
z = - 20
Step-by-step explanation:
3 - z/4 = 8
-z/4 = 5
z = -20
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{3-\frac{z}{4}=8; \rightarrow 3+\frac{-1}{4}=8}[/tex][tex]\bold{\frac{-1}{4}z+3=8}\\\\ \bold{Subtract\ by\ the\ number\ 3\ on\ your\ sides\downarrow}\\\\\bold{Like:\frac{-1}{4}z+3=8-3}\\\bold{Cancel:3-3\ because\ that\ gives\ us\ the\ result\ of\ 0}\\\bold{Keep:8-3\ because\ it\ helps\ us\ solve\ for\ our\ \underline{ANSWER}}\\\\\bold{Multiply\ by\ -4\ on\ each\ of\ your\ sides}\\\bold{Like:-4(\frac{-1}{4}z)}=-4(5)\\\bold{Cancel:-4(\frac{-1}{4}) \ because\ it\ gives\ you\ the\ result\ of\ 1}\\\bold{Keep:-4(5)because\ it\ gives\ you\ your\ \underline{ANSWER}}[/tex][tex]\boxed{\boxed{\bold{Answer:z=-20}}}\checkmark \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]ARE E,F & H collinear?
Yes;they lie on EH
NO;the three points are not collinear
Yes;they lie on FH
Yes;they lie on EG
Answer:
Step-by-step explanation:
Yes; the 3 points all lie on EG.
Answer: Yes;they lie on EG
Step-by-step explanation:
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? {–12, 2} {–2, 12}
Answer: I could be wrong so don't get your hopes up but I believe the solution set would be {-2,12}
Step-by-step explanation:
Answer:
The solution set is {-12,2}.
Step-by-step explanation:
We have given a quadratic equation.
x² + 10x = 24
We have to find the solution of above equation by completing square.
Adding (5)² to both sides of above equation, we have
x²+10+(5)² = 24+ (5)²
(x+5)² = 24+25
(x+5)² = 49
Taking square root to both sides of above equation, we have
x+5 = ±7
x+5 = 7 or x+5 = -7
x = 7-5 or x = -7-5
x = 2 or x = -12
Hence, the solution set is {-12,2}.
Julia swam 3/4 of a mile in the pool.if each lap is 1/16 of a mile,how many laps did she swim.
The answer is twelve.
3/4 x 4 = 12/16
12/16 divided by 1/16 is 12z
The number of laps that she swam will be 12 laps.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Julia swam 3/4 of a mile in the pool. If each lap is 1/16 of a mile.
Then the number of laps that she swam will be given as,
⇒ (3/4) ÷ (1/16)
⇒ 3 x 16 / 4
⇒ 3 x 4
⇒ 12 laps
The number of laps that she swam will be 12 laps.
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1/2- 1/4 write in simplest form
Answer:
The answer is 1/4 Also if your having a hard time with fractions use calculator soup its easy thats what i use
Step-by-step explanation:
The simplest form of the expression 1/2 - 1/4 is 1/4.
To simplify the expression 1/2 - 1/4, we first need to find a common denominator, which is the same denominator that both fractions share. In this case, the common denominator is 4.
To make 1/2 have a denominator of 4, we need to multiply both the numerator and denominator by 2. This gives us (1 * 2) / (2 * 2), which simplifies to 2/4.
So, the expression becomes 2/4 - 1/4. Now that both fractions have the same denominator, we can subtract their numerators while keeping the denominator the same:
(2 - 1) / 4 = 1/4
Therefore, the simplified form of 1/2 - 1/4 is 1/4. This means that if you have half (1/2) of something and you subtract a quarter (1/4) from it, you are left with one-quarter (1/4) of that something.
Simplifying fractions is essential in mathematics because it helps express quantities in their most reduced and straightforward forms, making them easier to work with and understand. In this case, 1/2 - 1/4 simplifies to 1/4, representing a clear and concise result.
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Apply the distributive property to simplify the expression. -7(4x-3)
Answer:
Step-by-step explanation:
(-7*4x)(-7*-3)
-28x+21
Thats the answer
To simplify the expression -7(4x-3), distribute -7 to each term inside the parentheses and multiply. The simplified expression is -28x + 21.
Explanation:To simplify the expression -7(4x-3) using the distributive property, you need to distribute the -7 to each term inside the parentheses. This means multiplying -7 by both 4x and -3.
The product of -7 and 4x is -28x, and the product of -7 and -3 is 21.
Therefore, the simplified expression is -28x + 21.
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determine the coefficient of the term “-15x”
-15 because -15x is the variable term
Answer:
Step-by-step explanation:
The "coefficient" of x here is -15.
"determine the coefficient of the term “-15x” " is not a valid question.
Which expression is equivalent to 7p + 8+ p + 6 - 4p?
A. 2(2p + 7)
B. 2(2p + 1)
C. 2(8p - 5)
D. 4(p +1)
Answer:
the answer is A)
Step-by-step explanation:
combine like terms
4p+14
a=
2x2p+2x7
hope this helps
The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours. The salary the she is paid is given by the function S(T) = 15T, where S is measured in dollars.
A. If the worker produces 18 units, what will she be paid?
B. How many units would the worker need to produce to be paid $3,030?
Answer:
A. $1,110
B. 50 units.
Step-by-step explanation:
A. Substitute [tex]x=18[/tex] into the function [tex]T(x)=4x+2[/tex] for calculate the time in hours required for the worker to produce 18 units:
[tex]T(18)=4(18)+2=74[/tex]
Now you need to substitute [tex]T=74[/tex] into the function [tex]S(T)=15T[/tex] to calculate the amount in dollars she will be paid for 74 hours:
[tex]S(74)=15(74)=1,110[/tex]
She will be paid $1,110.
B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute [tex]S(T)=3,030[/tex] into the function [tex]S(T)=15T[/tex] and solve for T (to find the number of hours she requires to work to be paid $3,030)
[tex]3,030=15T\\\\T=\frac{3,030}{15}\\\\T=202[/tex]
Now, substitute [tex]T(x)=202[/tex] into [tex]T(x)=4x+2[/tex] and solve for x, to calculate the number of units she produces in 202 hours:
[tex]202=4x+2\\\\202-2=4x\\\\x=\frac{200}{4}\\\\x=50[/tex]
She would need to produce 50 units to be paid $3,030
a point occupies zero dimensions true or false
Answer: True.
Step-by-step explanation:
In geometry , we have three undefined terms as :
1) point [ no dimension]
2) line [ one dimension]
3) plane [ two dimension]
A point is just a tiny mark on Cartesian plane which has no length like a line , no width and area like a plane or no volume like a three dimensional shape . We can use only its location but cannot measure it.
Hence, it has no dimension.
Hence, the given statement "a point occupies zero dimensions" is a true statement.
Answer:true
Step-by-step explanation:
Find the probability of not rolling factors of 5 on both die
Answer:
Step-by-step explanation:
2 factors of 5 on each die (2x2=4-12=8) so the answer would be 8
A cylinder has a radius of 10 feet and a height of 11.4 feet. What is the approximate volume of the cylinder? Use 3.14 for pi
Answer:
3,579.6
Step-by-step explanation:
Volume of a cylinder: V = πr^2h
Answer:
3580 ft³
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
r = 10 ft
h = 11.4 ft
Calculations:
V = πr²h = 3.14 × 10² × 11.4 = 3580 ft³
The approximate volume of the cylinder is 3580 ft³.
Jinny is selling bracelets for $4.50. So far, she has earned $315.00. She needs to earn more than $441.00 in order to meet her goal. How many more bracelets, x, does she need to sell in order to reach her goal?
A.
x > 70
B.
x > 168
C.
x > 28
D.
x > 98
Answer:
Step-by-step explanation:
hey if i've done it correctly its C.28.
first do 441.00 - 3.15.00 = 126
then do 126.00 divided by 4.50 = 28
Find the area of a triangle
Answer:
154 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 (22) * 14
154 cm^2
Answer:
A = 154 cm²Step-by-step explanation:
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{bh}{2}[/tex]
b - base
h - height
From the picture we have a base b = 22cm and a height h = 14cm.
Substitute:
[tex]A_\triangle=\dfrac{(22)(14)}{2}=(11)(14)=154\ cm^2[/tex]
are he two expression equivalent if x=5. 7x+3x. 9x+5
Answer:
yes, the two expressions are equivalent when x = 5
Step-by-step explanation:
7(5)=35
3(5)=15
35+15=50
9(5)=45
45+5=50
Answer:
Yes
Steps:
1) plug in 5 into the first equation:
7 • 5 = 35 + (3 • 5)= 35 + 15 = 50
2) plug in 5 into the second equation:
9 • 5 = 45 • 5 = 50
3) Compare:
50 = 50
find the surface area of this triangular prism
To find the surface area, find the area of each side and then add them together.
The bottom is 8 x 2 = 16
The left side is 6 x 2 = 12
The slanted side is 10 x 2 = 20
The front triangle is 1/2 x 8 x 6 = 24
The back triangle is the same as the front = 24
Total surface area = 16 + 12 + 20 + 24+24 = 96 square inches.
PLZ HELP!!!!! Which of these quadrilaterals can always be classified as a rhombus? A) kite
B) rectangle
C) square
D) trapezoid
Answer:
A) Kite
A rhombus is a simply a diamond. Think about the visual properties of a diamond. Isn't a kite a diamond?
A student did a survey on how people feel when they are hungry. The results were that more people felt a stabbing pain than their stomach aching. 30 people said that their stomach ached when they were hungry. 49 people said they felt a stabbing pain. How many more people felt a stabbing pain than stomach aches?
it’s 19 :)
filler
:)
hi
The number of more people who felt a stabbing pain than a stomach ache when they are hungry is obtained by subtracting the number of people who felt a stomach ache from the number of people who felt a stabbing pain. The difference, which is 19, indicates that 19 more people felt a stabbing pain.
Explanation:The subject of the question is simple subtraction in mathematics. In this scenario, find the difference between the number of people who felt a stabbing pain when they were hungry and the number who felt a stomach ache. The number of people who felt a stabbing pain is 49, and the number of people who felt a stomach ache is 30. So, to obtain the number of more people feeling stabbing pain than stomach ache: 49 (stabbing pain) - 30 (stomach ache) = 19. Thus, 19 more people felt a stabbing pain than a stomach ache when they were hungry.
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I DON'T understand
Answer:
f(g(x)) = 72x^2+1
Step-by-step explanation:
f(x) = 2x^2 +1
g(x) = -6x
f°g(x) means f(g(x))
Take g(x) and substitute it in for x in f(x)
f(g(x)) = 2(g(x))^2 +1
=2(-6x)^2 +1
=2(36x^2) +1
=72x^2 +1
Help Me ASAP
A builder is buying property to buy new houses. The sizes of the lots are 1/6,1/2,1/3,1/2,1/6,1/2,1/2,1/3,1/6,1/2,1/6,1/2,1/6,1/6,and 1/3 acre. Organize the information in a line plot
What is the average size of the lots?
______acre
i know how to do a line plot just can't figure the answer out.
Final answer:
To find the average size of the lots provided, organize the information in a line plot and calculate the average by summing the areas of the lots and dividing by the total number of lots.
Explanation:
Line Plot:
Average Size of Lots:
1/6 acre (3 lots)
1/2 acre (6 lots)
1/3 acre (3 lots)
To find the average size, add the areas of all lots and divide by the total number of lots. In this case, the average size of the lots would be 17/36 acre.
factorize 27x^3-16y^3
Answer:
This expression can not be factored with rational numbers.
The polynomial is not factorable with rational numbers.
if M = 1 over 6 find M(-1 over -2) fully reduced
Answer:
[tex]\large\boxed{M\left(\dfrac{-1}{-2}\right)=\dfrac{1}{12}}[/tex]
Step-by-step explanation:
[tex]M=\dfrac{1}{6}\\\\\dfrac{-1}{-2}=\dfrac{1}{2}\qquad\qquad\bigg(\dfrac{negative}{negative}\to positive\bigg)\\\\M\left(\dfrac{-1}{-2}\right)=\dfrac{1}{6}\left(\dfrac{1}{2}\right)=\dfrac{(1)(1)}{(6)(2)}=\dfrac{1}{12}[/tex]
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A circle has a diameter of 28 centimeters. Estimate the area of the circle. Use 22 7 for π .
Answer:
The area of the circle is [tex]616\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
In this problem we have
[tex]r=D/2=28/2=14\ cm[/tex] ----> the radius is half the diameter
substitute
[tex]A=(22/7)(14)^{2}=616\ cm^{2}[/tex]
What is the circumference of the circle? Use 3.14 for pi
d= 33 cm
Answer:
C = 103.62 CM
Step-by-step explanation:
C = Pi*D
C =(3.14)*(33)
C = 103.62 cm
Best regards
Answer:
103.62
Step-by-step explanation:
The Formula for circumference is C = d[tex]\pi[/tex]
pi is 3.14. and the diameter is 33 so..
3.14 x 33 = 103.62
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Help with function homework
-2
the minimum value means the vertex, and to find the vertex use the formula -b/2a which would give you -2 which is the axis of symmetry then plug in -2 for x to get the minimum value. 2(-2)^2 + 8(-2) + 6 = 8 - 16 + 8 = -2 .the vertex point would be (-2,-2)
An angle, θ, is in standard position. The terminal side of the angle passes through the point (6, -5).
Find sinθ.
-5 square root of 51/51
Answer:
[tex]Sin\theta =\frac{-5}{\sqrt{61}}[/tex]
Step-by-step explanation:
(6, -5)
According to the diagram
[tex]OA^{2}=OB^{2}+AB^{2}[/tex]
[tex]OA^{2}=6^{2}+5^{2}=36+25=61[/tex]
[tex]OA=\sqrt{61}[/tex]
[tex]Sin\theta =\frac{AB}{OA}[/tex]
[tex]Sin\theta =\frac{-5}{\sqrt{61}}[/tex]
Prove that the lines x+y=5, 2x–y=16 and x+2y=3 intersect at one point. What are the coordinates of this point?
Answer:
The coordinates of the intersection point are [tex](7,-2)[/tex]
Step-by-step explanation:
we have
[tex]x+y=5[/tex] -----> equation A
[tex]2x-y=16[/tex] -----> equation B
[tex]x+2y=3[/tex] -----> equation C
we know that
If the system of equations intersect at one point, then the system of equations has one solution
using a graphing tool
see the attached figure
The coordinates of the intersection point are [tex](7,-2)[/tex]
This point is a common solution for the three equations
Verify
Substitute the value of [tex]x=7, y=-2[/tex] in each equation
so
Equation A
[tex]x+y=5[/tex]
[tex]7-2=5[/tex]
[tex]5=5[/tex] ----> is true, therefore the point is a solution of the equation A
Equation B
[tex]2x-y=16[/tex]
[tex]2(7)+2=16[/tex]
[tex]16=16[/tex] ----> is true, therefore the point is a solution of the equation B
Equation C
[tex]x+2y=3[/tex]
[tex]7+2(-2)=3[/tex]
[tex]3=3[/tex] ----> is true, therefore the point is a solution of the equation C
Use a translator or whatever, just don't know how to do it. Will give most helpful answer brainliest, with an explanation and answer.
Convert 96 ounces to pounds.
4 lb.
5 lb.
6 lb.
10 lb.
Answer: C; 6 lbs.
Step-by-step explanation: There are 16 ounces in a pound, so 96 divided by 16 is 6.
Answer:
6 Pounds is your answer.
Step-by-step explanation:
What type of graph would you use for a set of numerical data with a range of 90, from 5 to 95, where you wanted to find the typical data value?
Answer: A scatter plot
Answer:
stem-and-leaf plot
have a good day