Please help me with this ACT Prep problem.

Please Help Me With This ACT Prep Problem.

Answers

Answer 1

Answer:

Option C

Step-by-step explanation:

ΔABC and ΔDEF are similar triangles.

By the property of similar triangles, corresponding sides of the similar triangle are proportional.

[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]

[tex]\frac{6}{DE}=\frac{6}{3}=\frac{10}{5}[/tex]

[tex]\frac{6}{DE}=\frac{6}{3}[/tex]

DE = 3

Perimeter of ΔDEF = Sum of measures of the sides of the triangle

                                = DE + EF + DF

                                = 3 + 3 + 5

                                = 11

Therefore, Option C will be the correct option.


Related Questions

Find an expression which represents the sum of (-8x+7y)(−8x+7y) and (2x-2y)(2x−2y) in simplest terms.

Answers

Answer:

Step-by-step explanation:

(-8x+7y)(-8x+7y)+(2x-2y)(2x-2y)

=64x²-56xy-56xy+49y²+(4x²-4xy-4xy+4y²)

=64x²-112xy+49y²+4x²-8xy+4y²

=68x²-120xy+53y²

A running track has two semi-circular ends with radius 25m and two straights of length 87.6m as shown.
Calculate the total distance around the track rounded to 1 DP.

Answers

The total distance around the track is 332.2 meters

How to calculate the total distance?

The complete question is in the attached image

The given parameters are:

Radius, r = 25 m

Length, l = 87.6 m

Start by calculating the circumference of the two semi-circular ends using:

[tex]C = 2\pi r[/tex]

So, we have:

C = 2* 3.14 * 25

Evaluate

C = 157

The total distance around the track is then calculated as:

Total = 2l + C

This gives

Total = 2 * 87.6 + 157

Evaluate

Total = 332.2

Hence, the total distance around the track is 332.2 meters

Read more about perimeter at:

https://brainly.com/question/24571594

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there are 45 students In a class if 60% of them are girls and 40% of them are boys find the number of girls and boys​

Answers

Answer:

27 girls and 18 boys

Step-by-step explanation:

you need to divide the 45 pupils into 60 and 40 percent to

How many times larger is the value of 42.38 compared to 4.238

Answers

Answer:

10 times larger

I keep getting this wrong. I got f(x)=1/2^x

Answers

Answer:

Try that....

[tex]f(x) = \frac{1}{ {5}^{x} } [/tex]

Step-by-step explanation:

I hope that is useful for you :)

म.स. निकाल्नुहोस् (Find the HCF of):
x4+4and 3x2 -6x+6
सरल गर्नुहोस् (Simplify):
(Ans: x2-2x+2)​

Answers

Answer:

hahahhahah yes hahahhaa

Step-by-step explanation:

nope

Area of parts of circles
You might need: Calculator
2
Find the area of the semicircle.
Either enter an exact answer in terms of or use 3.14 for T and enter your answer as a decimal.
units

Answers

Area of semicircle = (πr²) ÷ 2


Area of semicircle:
= (3.14)(2)² ÷ 2

= (3.14)(4) ÷ 2

= 12.56/2

= 6.28

help please :) ..................​

Answers

Answer:

1587.6 m²

Step-by-step explanation:

[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height (b and h on the triangle will always be perpendicular to each other)

Plug in 75.6 m as b and 42 m as h

[tex]A=\frac{1}{2} (75.6)(42)\\A=\frac{1}{2}( 3175.2)\\A=1587.6[/tex]

I hope this helps!

2 (-3x-4) >16
Solve the inquality for X

Answers

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

-6x - 8 > 16

-6x > 16 + 8

-6x > 24

-x > 4

x < -4

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

Distribute.

-6x - 8 > 16

Add 8 to both sides.

-6x > 24

Divide by -6. When dividing by a negative, flip the sign.

x < -4.

Pls help What is the volume of the following pyramid?

Answers

Answer:

A. 40in3

Step-by-step explanation:

your just multiplying the numbers together

A drawing of a house is 8.5 inches tall. Enter the height of the house in feet.
HELP PLSSSS I REALLY APPRECIATE IT!

Answers

Answer:

.70833

Step-by-step explanation:

Divide 8.5 by 12 since there are 12 inches in 1 foot

Answer:

.71 feet

Step-by-step explanation:

If you need an explanation then let me know in comments

plss help i’ll give brainliest thank you!

Answers

Answer:

p

Step-by-step explanation:

Absolute value cancels negative so the greatest would be P.

have a nice day and i hope this helps! <3

P because absolute value cancels negative so it’d just be positive 6

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

18/999

Step-by-step explanation:

Answer:

2/111 = 18/999

Please help first good answer will be marked the brainiest

Answers

Answer:

x = 5

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

∠X is an inscribed angle and arc QRS is its intercepted arc.

arc QRC has a measure of 122 + 76 = 198

Therefore, m∠X = 1/2(198) = 96

So, 19x + 1 = 96

19x = 95

x = 5

write an explicit formula for an, the nth term of the sequence 11,2,-7

Answers

Answer:

[tex]a_{n}[/tex] = 20 - 9n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 11 = - 7 - 2 = - 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = - 9 , then

[tex]a_{n}[/tex] = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n

Iva del 21% de 150=
Por favor diganme cuanto es

Answers

Si es 150 es precio sin IVA, tu precio con IVA sería de 181.5. La cantidad del IVA sería de 31.5

Please help with this question!!!!!

Answers

72 in2 because you add the area of everything

Given that
[tex]\frac{8-3\sqrt{2} }{2} = a+b\sqrt{2}[/tex]
Find a and b

Answers

Answer:

a = 4, b = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{8-3\sqrt{2} }{2}[/tex] = a + b[tex]\sqrt{2}[/tex] ( multiply both sides by 2 to clear the fraction )

8 - 3[tex]\sqrt{2}[/tex] = 2a + 2b[tex]\sqrt{2}[/tex]

For the 2 sides to be equal , then

2a = 8 ( divide both sides by 2 )

a = 4

and

2b = - 3 ( divide both sides by - 2 )

b = - [tex]\frac{3}{2}[/tex]

A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters What is the lateral area of the pyramid?

20 square centimeters
64 square centimeters
80 square centimeters
84 square centimeters​

Answers

Answer:

C. 80 square centimeters

Step-by-step explanation:

Edge 2021

The lateral surface area of the given square pyramid is 80 cm².

What is lateral surface area?

The lateral surface of an object is its entirety, excluding its base and top (when they exist).

Boundary - layer surface zone equals lateral surface area. This is to be contrasted from the total surface area, which includes the lateral surface area along with the base and top regions.

Given that, a square pyramid has side lengths each measuring 8 centimeters.

The height of the pyramid is 3 centimeters.

The lateral area of a square pyramid = 2al = 2a√[(a²/4) + h²]

= 2×8√[(8²/4) + 3²]

= 16√[(64/4) + 9]

= 16√[16 + 9]

= 16×5

= 80 cm²

Therefore, the lateral area of the pyramid is 80 cm².

Learn more about the lateral surface area here:

brainly.com/question/14001755.

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What’s the answer for this question

Answers

Answer:

dvdvsdv

Step-by-step explanation:

dsvfvdfvdv

Sisiennskskwskasnnwna

2+5x-2x=6x+3x-7 help

Answers

x=3/2

2+5x-2x=6x+3x - 7
2+3x=6x + 3x - 7

2+3x =6x +3x - 7

3x + 2 = 6x + 3x - 7

3x +2 = 9x - 7

3x + 2-2 = 9x - 7 - 2
3x - 9x = 9x - 9 - 9x

-6x = -9

-6x/-6 = -9/-6

x= 3/2


Hope this helps :)

Answer:

The value of x in this equation is 3/2.

Step-by-step explanation:

First, let's take the original equation:

2 + 5x - 2x = 6x + 3x - 7

In order to solve for x, we must isolate the variable x on one side of the equation, and the rest of the numbers on the other side of the equation. So we take: 2 + 5x - 2x = 6x + 3x - 7 and use some of the properties of equality:

We start with 2 + 5x - 2x = 6x + 3x - 7 and see that we can minus 2 on both sides of the equation as highlighted below:

2 + 5x - 2x = 6x + 3x - 7

2 + 5x - 2x - 2 = 6x + 3x - 7 - 2

This simplifies the equation to 5x - 2x = 6x + 3x - 9.

Remember, we can arrange the equation like this along as we do on one side what we do on the other. Now, we have 5x - 2x = 6x + 3x - 9, and see that the rest of 6x and 3x needs to go on the left side of the equation. In order to do this, we can minus 6x from both sides of the equation as shown below:

5x - 2x = 6x + 3x - 9

5x - 2x - 6x = 6x + 3x - 9 - 6x

which then simplifies to 5x - 2x - 6x = 3x - 9. Now we can do the same thing by minus 3x from both sides of the equation.

5x - 2x - 6x = 3x - 9

5x - 2x - 6x - 3x = 3x - 9 - 3x

5x - 2x - 6x - 3x = -9

Now, we must simplify the left side of this equation by adding together the variable numbers 5x - 2x - 6x - 3x. This is shown below:

5x - 2x - 6x - 3x = -9

3x - 6x - 3x = -9

-6x = -9

Lastly, we can divide the number -9 by -6 to get the answer of what 1 x equals. This means -9/-6 = 3/2.

X is indeed equal to 3/2


In ABC with the right angle at vertex C, sin(b)= (26)/8. What is sin(a)?

Answers

Answer:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.

Step-by-step explanation:

Pythagorean theorem:   a2 + b2 = c2.

Sines:   sin A = a/c, sin B = b/c.

Cosines:   cos A = b/c, cos B = a/c.

Tangents:   tan A = a/b, tan B = b/a.

(x + 6)² + (y - 2)² = 100. What is the center of the circle? What is the radius of the circle?

Answers

Answer:

Step-by-step explanation:

"100" or any constant at the end of the equation is r² (radius squared). So, the radius is 10.

the center of the circle is (-6, 2)

the equation template of a circle is (x -h)² + (y - k)² = c

(h,k) is the center of the cirlce.

Center: (-6,2)
Radius: 10

Mhanifa can answer this only

I don't understand
8x + 2y = 104
Is that possible, and if so, prove it pls
Mhanifa is the best user on Brainly
So, if I attract him, I will die

Answers

Answer:

Implicit Form: 4x + y - 52 = 0

Step-by-step explanation:

8x + 2y = 104 => Move constant to the left and change the sign

8x + 2y - 104 = 0 => Divide both sides of the equation by 2

4x + y - 52 = 0

Hope this helps!

HELP asap now lol lorf

Answers

Answer:

[tex]22\ km[/tex]

Step-by-step explanation:

One is given the following information:

[tex]10\frac{1}{1}[/tex] km were covered on Thursday[tex]10\frac{1}{1}[/tex] km were covered on Friday

One is asked to find the total distance covered on both of these days. In order to do so, one must remember in a fraction, any number over (1) is equal to the numerator (number over the fraction bar). Thus one can form the following equation:

[tex](Thursday)+(Friday) = Total\ distance[/tex]

Substitute,

[tex](Thursday)+(Friday) = Total\ distance[/tex]

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

Simplify,

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

[tex](10+1)+(10+1) = Total\ distance[/tex]

[tex](11)+(11)=Total\ distance[/tex]

[tex]11+11=Total\ distance[/tex]

[tex]22=Total\ distance[/tex]

Which of the following is the surface area of the right cylinder below?
O A. 480pi units2
O B. 204pi units2
O c. 408pi units2
O D. 240pi units2

Answers

Answer:

The answer is D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

11 4/7 as an improper fraction​

Answers

Answer:

114 is an improper fraction as numerator 11 is greater than 4, the denominator. Step 2: We divide 11 by 4, and get 2 as a quotient and 3 as a remainder which is written as proper fraction 34.

Answer:

81/7

Step-by-step explanation:

multiply the denominator by the whole number

7*11=77

then add the numerator to the answer

77+4= 81

put the new number over the denominator.

81/7

What is the image of the point (3, -2) under a dialtion with a scale factor of 4 with respect to the origin?

Answers

Answer:

(12,-8)

Step-by-step explanation:

scale factor is 4

(x,y)=(4x,4y)

(3,-2)=(12,-8)

∠A and \angle B∠B are vertical angles. If m\angle A=(2x+26)^{\circ}∠A=(2x+26) ∘ and m\angle B=(3x+21)^{\circ}∠B=(3x+21) ∘ , then find the measure of \angle B∠B.

Answers

Answer:

36degrees

Step-by-step explanation:

If m<A and m<B are vertical angles, hence m<A = m<B (vertical angles are equal)

Given the following

m<A = (2x+26)°

m<B = (3x+21)°

Equating both expressions

2x + 26 = 3x + 21

2x - 3x = 21 - 26

-x = -5

x = 5

Get the measure of m<B

m<B = (3x+21)°

m<B = 3(5) + 21

m<B = 15+21

m<B = 36degrees

Hence the measure of angle B is 36degrees

what does 2(3y – 4) =

Answers

Let's use the distributive property to simplify this problem.

The first thing we want to do is change the minus to plus a negative.

Now distribute or multiply the 2 by each of the terms inside the parentheses.

So we get 2(3y) + 2(-4) and this simplifies to 6y + -8

Note that if you wrote your answer as 6y - 8, it means the same thing.

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