Answer:
angle A and angle D equals 100 degrees, angle B and angle E equals 30 degrees, and angle C and angle F equal 50 degrees.
Step-by-step explanation:
a triangle has to equal 180 degrees, and since they are similar, it should equal the same. Hope this helped you. :))
The angles of triangles △ABC and △DEF, which are similar, are 100°, 30°, and 50°. This is calculated using the properties of similar geometry and the fact that the sum of all angles in a triangle equals 180°.
In Triangle Similarity, the corresponding angles are equal due to the property of similarity in geometry.
Since we know that △ABC and △DEF are similar and we have m∠A=100° and m∠B=30°, we can determine that angles A and B in triangle △DEF are also 100° and 30°, respectively.
The third angle in both triangles can be calculated using the property that the sum of all angles in a triangle equals 180°.
Hence, in △DEF and △ABC we can calculate the measure of the third angle by 180° - (100°+30°) = 50°.
So for triangles △ABC and △DEF, the angles are 100°, 30° and 50° respectively.
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PLEASE HELP!! what is the units digit of 23^23
HURRY! PLEASE answer in 1 MINUTE!
Thanks!
The units digit of 23^23 is 7. This is found using the power cycle of 3 (the units digit of the base number), which is 3, 9, 7, 1 and the remainder when the exponent 23 is divided by the length of this power cycle (4).
Explanation:To find the units digit of 2323, one needs to understand a pattern in power cycles. For any number, the units digit will repeat in a certain cycle when the number is raised to higher powers. For number 3, every fourth power goes back to the value 1. Thus, the cycle for the number 3 is 3, 9, 7, 1.
Here’s how the calculation works:
For finding the pattern cycle we ignore any digits other than the units digit. This means we only need to look at the pattern in powers of 3 (not 23). Determine which number of the cycle to use. The exponent 23 divided by the length of the cycle (4) leaves a remainder of 3 (because 23/4= 5 remainder 3). So we use the third number in the cycle, which is 7. Hence, the units digit of 2323 is 7.Learn more about Units Digit here:https://brainly.com/question/17038912
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Identify the slope of the line shown in the graph below: slope = -1
Slope = 0
Slope = undefined
Slope = 1
Answer:
Vertical lines have an undefined slope. Horizontal lines have a 0 slope.
So, undefined.
Step-by-step explanation:
Answer:
undefined
Step-by-step explanation:
this slope is undefined because it goes straight down and is vertical. the x and y-coordinates never change and there is no run when doing rise over run.]
pls mark brainliest
I need help with a and b
Write 209 is v divided by 255 as an equation
Answer:
209 = v / 255
Step-by-step explanation:
209 is v divided by 255
The word is means equals
209 = v / 255
Berto invested in a precious mineral. The value of the mineral tend to increase by about 11% per year. He invest $40,000 in 2015 How much more will he invested be worth in 2020
the difference from 40000 to the future value in 2020, namely 5 years later is simply the yield or interest amount.
[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$40000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &5 \end{cases} \\\\\\ I=(40000)(0.11)(5)\implies I=22000[/tex]
write the equation of the line in slope- intercept form:
9y-27x=18
The slope-intercept form:
[tex]y=mx+b[/tex]
[tex]9y-27x=18[/tex] add 27x to both sides
[tex]9y=27x+18[/tex] divide both sides by 9
[tex]\boxed{y=3x+2}[/tex]
Can someone show me an example of long division?
Answer:
When you have large numbers to divide,
draw a tableau for long division on the side.
Write the steps that will be your guide,
D, M, S, B and R – Abide by to long divide!
Step-by-step explanation:
Answer:
Step-by-step explanation:
help please than you
HELP ME PLSSS!!!!! I'LL GIVE BRAINLIEST!!!
What is the best approximation of the solution to the system? (Round to the nearest whole number).
Explain what is similar or different about the two lines. Use the key vocabulary words: Slope and Y-Intercept.
For the first question you best estimate would be : (1, 7) because these points are the closest co-ordinates to the real answer
Second question answer will be: The 2 lines have different slope, one is negative and another is positive. The y-intercepts for both equation are different but the x co-ordinate in both intercepts is 0
Answer: fvkglf
Step-by-step explanation: wdkogtrjfigtrkfijpwoeeefkjdmsjlfmhuygbnm,kjliuhyjbnmbgtfrghjklhyughbjnkuyliuynijedju ypour welcomebhf
HELP ASAP! WILL MARK AS BRAINLIEST (if you get answers correct)
1. (-6,-1), (-2,-3)
a. (-4,-2)
b. (2,-5)
c. (-2,1)
d. (-3.5,-2.5)
2. (-4,-5), (2,3)
a. (-4.5, 2.5)
b. (-3,-4)
c. (8,11)
d. (-1,-1)
3. (-3,-1), (3,5)
a. (-2,4)
b. (0,2)
c. (-3,-3)
d. (9,11)
4. What is the midpoint between (-3,-2) and (4,7)?
a. (2.5, 0.5)
b. (3.5, 4.5)
c. (-7, -9)
d. (0.5, 2.5)
Answer:
Step-by-step explanation:
If you want the mid point for these questions then for the 1st
1. add -6 and -2 which is -8 then divide by 2 which is -4, then add -1 and -3 which is -4 and then divide by 2 which is -2. so the mid point is (-4,-2)
2. its the same as above first add -4 and 2 which is -2 then divide by 2 which is -1, then add -5 and 3 which is -2 and divide by 2 which is -1. the point is (-1,-1)
3. -3+3=0 dived by 2 which is 0, -1+5=4 divide by 2 which is 2
point is (0,2)
4. -3+4=1 divide by 2 which is 1/2 =0.5, -2+7=5 then divide by 2 which is 5/2=2.5. point is (0.5,2.5)
Tony went to the candy store and saw that his favorite candy was on sale. The original price is $1.49 per candy bar. Today, the store is selling it for $1.25 per candy bar. How much greater (in dollars) is the original price than the sale price?
Answer:
$0.24
Step-by-step explanation:
1.49 - 1.25 = 0.24
Answer:
$0.24
Step-by-step explanation:
Dan's father is an orange farmer and he brought 32 orange it to class today if each child got four oranges and five children did not want oranges how many children are in the class?
Answer: There are 13 children.
Step-by-step explanation:
1. Let's call x the number of children in the classroom. We know that each child received 4 oranges, except 5 of them.
2. There were 32 oranges in total.
3. We can write this problem as an equation that represents the number of oranges distributed, as follows:
[tex]4(x-5)=32[/tex]
4. Now we solve the equation to find the value of x:
[tex]x-5=\frac{32}{4}[/tex]
[tex]x-5=8[/tex]
[tex]x=13[/tex]
5. There are 13 children in the classroom. 8 of them received oranges and the rest did not.
Which property is demonstrated?
Answer:
associative property of multiplication
Step-by-step explanation:
edge 2021
work out 5/7 of 100
Give your answer correct to the nearest whole number
Answer:
71
Step-by-step explanation:
One way in which to work this out is to multiply 100 by 5, obtaining 500, and then dividing this result by 7. The nearest whole number is 497, or 71.
how do you do these problems?? Help please!!!!
Answer:
290 ans 4/5 miles
Step-by-step explanation:
174/24=7.25
7.25X40=290
Next problem
10/2=5
4/5
if i clock out at 1:46 and i have 30 Minutes what time do i go in?
I will get in 2:16.
Now it is given that I clock out or I got out when the time was 1 hour 46 minutes.
And I have 30 minutes to go in.
So after 30 minutes, the time will be :
1 hour + 46 minutes
+ 30 minutes
1 hour + 76 minutes
Now we know that 60 minutes = 1 hour
So the time will be 2 hours and 16 minutes.
Therefore, the time at which I will get in after 30 minutes is 2:16
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Martha states that -6 is a rational number.Wich is a correct explanation for this statement?
A)The number -6 is the opposite of 6
B) The number -6 is a negative integer
C) The number -6 can be written as -6/1
D)The number -6 is less than 0
Answer:
It would be C
Step-by-step explanation:
The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational.
Answer:
C.
Step-by-step explanation:
because if -6 is a rotational number it should also be able to be translated into a fraction form
1) 3 - 7 x 5 + 2 x 4=
2) 7 - 2 x 5 + 9 x 3=
3) 2 - 8x + 3x When x = 5
4) 4 - 2x + 5x when x= 4
5) z divided 2 - 4z + 3(z-3) when z =8
GEMDAS!
1:
3 - 7 x 5 + 2 x 4
3 - 35 + 2 x 4
3 - 35 + 8
3 - 27
-24
2:
7 - 2 x 5 + 9 x 3
7 - 10 + 9 x 3
7 - 10 + 27
7 + 17
24
3:
2 - 8x + 3x When x = 5
2 - 8(5) + 3(5)
2 - 40 + 15
2 - 25
-23
4:
4 - 2x + 5x when x= 4
4 - 2(4) + 5(4)
4 - 8 + 20
4 + 12
16
5:
z ÷ 2 - 4z + 3(z - 3) when z = 8
8 ÷ 2 - 4(8) + 3(8 - 3)
8 ÷ 2 - 32 + 24 - 9
4 - 32 + 24 - 9
4 - 8 - 9
-13
I might've did #5 incorrect.... Really really sorry...
the quotient of 32 times a number and 4 is 16
Answer:
x=2
Step-by-step explanation:
32x ÷ 4 = 16
32x = 64
x = 2
Answer:
x = - 3.5
Step-by-step explanation:
32 * ( x + 4 ) = 16
x + 4 = 16 / 32
x + 4 = 0.5
x = 0.5 - 4
x = - 3.5
I need help can someone please help me
Answer:
its 33 cm
Step-by-step explanation:
Does cell division always mean an organism is growing?
find the prime factorization of 3,240
Answer:
Answer: 3240 = 2^3×3^4×5
Factor the following integer:
3240
The last digit of 3240 is 0, which means it is even. Therefore 3240 is divisible by 2:
3240 = 2 1620:
3240 = 2×1620
The last digit of 1620 is 0, which means it is even. Therefore 1620 is divisible by 2:
1620 = 2 810:
3240 = 2×2×810
The last digit of 810 is 0, which means it is even. Therefore 810 is divisible by 2:
810 = 2 405:
3240 = 2×2×2×405
405 is not divisible by 2 since 405 is odd and 2 is even:
3240 = 2×2×2×405 (405 is not divisible by 2)
The sum of the digits of 405 is 4 + 0 + 5 = 9, which is divisible by 3. This means 405 is divisible by 3:
405 = 3 135:
3240 = 2×2×2×3×135 (135 is not divisible by 2 since 405 is not)
The sum of the digits of 135 is 1 + 3 + 5 = 9, which is divisible by 3. This means 135 is divisible by 3:
135 = 3 45:
3240 = 2×2×2×3×3×45 (45 is not divisible by 2 since 135 is not)
The sum of the digits of 45 is 4 + 5 = 9, which is divisible by 3. This means 45 is divisible by 3:
45 = 3 15:
3240 = 2×2×2×3×3×3×15 (15 is not divisible by 2 since 45 is not)
The sum of the digits of 15 is 1 + 5 = 6, which is divisible by 3. This means 15 is divisible by 3:
15 = 3 5:
3240 = 2×2×2×3×3×3×3×5 (5 is not divisible by 2 since 15 is not)
Divide 3 into 5:
| 1 | (quotient)
3 | 5 |
- | 3 |
| 2 | (remainder)
5 is not divisible by 3:
3240 = 2×2×2×3×3×3×3×5 (5 is not divisible by 2 or 3)
No primes less than 5 divide into it. Therefore 5 is prime:
3240 = 2×2×2×3×3×3×3×5
There are 3 copies of 2, 4 copies of 3 and 1 copy of 5 in the product:
Answer: 3240 = 2^3×3^4×5
3,240 =
= 324 × 10 =
= 4 × 81 × 10 =
= 2^2 × 3^4 × 2 × 5 =
= 2^3 × 3^4 × 5WILL MARK BRAINLIEST! Please help me. :(
Answer:
A
Step-by-step explanation:
Distribute the (-)
6x^3y^3+x^3y^3 + 5x^2y^2 - x^2y^2 - x^2y+x^2y +xy^2 +3x+3x +2-4
Cancel out bold and add:
7x^3y^3 + 4x^2y^2 +xy^2+6x-2
Solve for x using cross multiplication
Answer:
x = 4
Step-by-step explanation:
cross- multiplying gives
5 × 3x = 4(2x + 7) ← distribute
15x = 8x + 28 ( subtract 8x from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Cross multiplication is used to solve equations with fractions or ratios. Multiply across the equals sign ('cross multiply'), and then isolate 'x' by adjusting the equation. Replace variable with actual figures to get the exact value.
Explanation:Cross multiplication is a mathematical technique used to solve problems involving fractions or ratios. Let's do an example. Suppose we have a ratio equation like this: a/b = c/ x (x is the variable we need to find).
The first step is to cross multiply. So, you multiply 'a' and 'x', and 'b' and 'c'. This gives us: ax = bc.
Next, we isolate 'x' by dividing both sides of the equation by 'a'. This gives us: x = bc/a.
Now, put the actual numbers into the equation to get the value of 'x'.
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I WILL AWARD BRAINLIEST!
The Patronete Winery's tastiest wine must have a 12% alcohol content. How many gallons of wine with a 9% alcohol content must be mixed with 3,000 gallons of wine with a 15% alcohol content in order to achieve the desired 12% alcohol content?
Answer:
3000 gallons of 12 percent is required
Step-by-step explanation:
We can use the formula
percentage * amount + percentage * amount = percentage*total amount
We have 9 percent and 15 percent wine that we are mixing to get 12 percent wine.
We are adding g gallons and 3000 gallons to get a total of (g+3000) gallons
Substituting this information in
.09 *g + .15 * 3000 = .12 (g+3000)
Distribute
.09g +450 = .12g+360
Subtract .9g from each side
.09g-.09g +450 = .12g-0.09g+360
450 = .03g + 360
Subtract 360 from each side
450-360 = .03g
90 =.03g
Divide each side by .03
90/.03 = .03g/03
3000 = g
What is the solution of the following system?
{5x + 5y = 15
{6x - 4y = -12
alma is finding the measures of the angles in a triangle that have the ratio 1:3:5. circle her mistake and correct it
x + 3x +5x = 180
8x = 180
x = 22.5
Answer:
error in summing terms in x
Step-by-step explanation:
x + 3x + 5x = 180 ( collect like terms on left )
9x = 180 ← ( 9x not 8x )
divide both sides by 9
x = 20
Alma made a calculation error in solving for the angles with a ratio of 1:3:5. The correct values for x, which is the smallest angle, should be 20 degrees with the middle and largest angles being 60 degrees and 100 degrees respectively.
Alma is attempting to solve for the measures of angles in a triangle with a ratio of 1:3:5. However, there seems to be a mistake in her calculation. To correct it, we start with her equation x + 3x + 5x = 180, which represents the fact that the sum of the angles in a triangle is always 180 degrees (Theorem 20).
Combining like terms we do have 9x = 180. Solving for x gives us x = 20.
Therefore, the measure of the smallest angle is 20 degrees, the middle angle is 60 degrees, and the largest angle is 100 degrees.
a can of vegetable soup cost $2.88 for 12 oz a can of chicken soup cost $2.25 for 9 oz which kind of soup cost less
Answer:
Vegetable soup costs less because it's only $0.24/oz while chicken soup costs $0.25/oz.
Step-by-step explanation:
Vegetable = $2.88/12 = $0.24/per 1 oz
Chicken = $2.25/9 = $0.25/per 1 oz
15 Points!
I have tried multiple times on this question and I don't understand it. Matikas is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. He starts by assigning coordinates to the vertices of quadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D.
Enter the answers, in simplified form, in the boxes to complete the proof.
Answer:
coordinate of point A is (a,b)
coordinate of point C is (2c,d)
slope of AD and BC =[tex]\frac{b}{a-c}[/tex]
Step-by-step explanation:
According to midpoint formula
If we have points P [tex](x_{1} ,y_{1} )[/tex] and Q [tex](x_{2} ,y_{2} )[/tex]
then the coordinate (x,y) of mid point of line PQ is given by
[tex]x=\frac{x_{1} +x_{2} }{2}[/tex] and [tex]y=\frac{y_{1} +y_{2} }{2}[/tex]
now from the given diagram A is the mid point of line joining R(0,0) and S(2a,2b)
Using midpoint formula, coordinates of point A is given by
[tex]x=\frac{0+2a}{2}= a[/tex] and [tex]y=\frac{0+2b}{2} =b[/tex]
so we have
coordinate of point A is (a,b)
Also C is the midpoint of line joining T (2c,2d) and V(2c,0)
coordinate of point C is given by
[tex]x= \frac{2c+2c}{2} =2c[/tex] and [tex]y=\frac{2d+0}{2} =d[/tex]
so we have
coordinate of point C is (2c,d)
it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)
If we have points P [tex](x_{1} ,y_{1} )[/tex] and Q [tex](x_{2} ,y_{2} )[/tex]
then the slope of PQ =[tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
hence slope of AD= [tex]\frac{0-b }{c-a} [/tex]
=[tex]\frac{-b}{c-a}[/tex]
=[tex]\frac{-b}{-(a-c)}[/tex]
=[tex]\frac{b}{a-c}[/tex]
and slope of BC =[tex]\frac{d-(b+d)}{2c-(a+c)}[/tex]
=[tex]\frac{d-b-d}{2c-a-c}[/tex]
=[tex]\frac{-b}{c-a}[/tex]
=[tex]\frac{b}{a-c}[/tex]
so we have
slope of AD and BC =[tex]\frac{b}{a-c}[/tex]
Answer:
Co-ordinates of A are ( a, b )
Co-ordinates of C are ( 2c, d )
Slope of line segments AD and BC is [tex]\frac{-b}{c-a}[/tex]
Step-by-step explanation:
We know that, the co-ordinates of the mid-point of a line segment having end points (x,y) and [tex](x_{1} , y_{1} )[/tex] is [tex](\frac{x+x_{1} }{2} , \frac{y+y_{1} }{2} )[/tex]
Now as 'A' is the mid-point of the line segment RS having end points (0,0) and (2a,2b).
The co-ordinates of A will be ( [tex]\frac{0+2a}{2}[/tex], [tex]\frac{0+2a}{2}[/tex] ) i.e [tex]( a, b )[/tex]
Now as 'C' is the mid-point of the line segment TV having end points (2c,2d) and (2c,0).
The co-ordinates of C will be ( [tex]\frac{2c+2c}{2}[/tex], [tex]\frac{2d+0}{2}[/tex] ) i.e. [tex]( \frac{4c}{2} , \frac{2d}{2})[/tex] i.e. [tex]( 2c, d )[/tex].
Further, we need to find the slope of line segments AD and BC.
AD has end points [tex]( a, b )[/tex] and [tex]( c, 0 )[/tex]. Then the slope of AD will be [tex]\frac{0-b}{c-a}[/tex] i.e [tex]\frac{-b}{c-a}[/tex]
Similarly, BC has end points [tex]( a+c, b+d )[/tex] and [tex]( 2c, d )[/tex]. Then the slope of BC will be [tex]\frac{d-b-d}{2c-a-c}[/tex] i.e [tex]\frac{-b}{c-a}[/tex]
Hence, the slope of AD and BC is [tex]\frac{-b}{c-a}[/tex].
What are the factors of x2 – 100?
(x – 50)(x + 50)
(x – 10)(x + 10)
(x – 25)(x + 4)
(x – 5)(x + 20)
Answer:
(x-10)(x+10)
Step-by-step explanation:
Here, the given expression,
[tex]x^2-100[/tex]
[tex]=(x)^2-(10)^2[/tex]
By using the identity [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]=(x+10)(x-10)[/tex]
[tex]=(x-10)(x+10)[/tex] ( By the commutative property )
Since, further factorization is not possible,
Hence, the factors of [tex]x^2-100[/tex] are,
[tex](x-10)(x+10)[/tex]
Second option is correct.