All categories

2 years ago

The triangles are similar.

Mathematics

1 answer:

RSB [31]2 years ago

8 0

Answer:

The value of x is 12.

Step-by-step explanation:

In order to find the value of x, we first need to find the scale factor. We can find this by dividing any side of the larger triangle with the corresponding part of the smaller triangle.

28/7 = 4

This means everything in the larger triangle is 4 times as great as the smaller triangle. Knowing this, we can set the larger hypotenuse equal to 4 times the smaller.

6x + 28 = 4(25)

6x + 28 = 100

6x = 72

x = 12

You might be interested in

Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangl

Yakvenalex [24]

Given:
Triangle:
height = 6ft
base = 4ft

Rectangle:
length = x
Width = 6 ft

Surface Area = 150ft²

Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²

Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²

138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x.

6 0

2 years ago

What is the solution to the inequality shown below?

lesantik [10]

To solve the inequality, you need to isolate/get the variable "p" by itself in the inequality:

5p + 26 < 72 Subtract 26 on both sides

5p + 26 - 26 < 72 - 26

5p < 46 Divide 5 on both sides to get "p" by itself

$\frac{5p}{5}$

$p$

p < 9.2 Your answer is A

8 0

3 years ago

When using an equivalent fraction to find a percent, why do you write 100 as the denominator ?

Westkost [7]

You write 100 as the denominator because 100 represents a whole whereas the numerator normally represents a percentage. Hope this helps!

3 0

2 years ago

Parallel lines "a" and "b" are cut by a transversal "c." What is "R" in the diagram below?

belka [17]

Answer:

I'm guessing it's 70°

Step-by-step explanation:

in the image above you can see I circled the 70°

the same angle is below it to the left. which means it's 70°

4 0

2 years ago

Read 2 more answers

Which equation can be used to solve for x in the following diagram?

Setler [38]

∑ Hey, petalssquad10 ⊃

Answer:

( 10 x + 10 ) = 110

Step-by-step explanation:

As you can see this following diagram shown a vertical angles which are angles that are opposite of each other when two lines cross. You can also see it kind of look like a "x". Vertical angles also means that they have the same angle measure. A example is if this angle is "110" then the other sides equal to "110''.

Hence, the equation we can be used to solve for x in the following diagram is:

( 10 x + 10 ) = 110

You can also refer to the image below:

xcookiex12

8/18/2022

6 0

1 year ago