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3 years ago

Please help me answer this question!!!

Mathematics

1 answer:

boyakko [2]3 years ago

8 0

Answer:

Step-by-step explanation:

<STR = <SRT Given the markings of the triangle

<STR + <STU = 180 Supplementary angles

(2x - 9) + 7x = 180 Remove the brackets

2x - 9 + 7x = 180 Combine

9x - 9 = 180 Add 9 to both sides

9x = 180 + 9 Combine

9x = 189 Divide by 9

9x/9 = 189/9

x = 21

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Pavlova-9 [17]

Answer:

Step-by-step explanation:

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6 0

3 years ago

A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards

emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where w is width, and l, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

$187 = w^{2} +6w$

$w^{2} +6w-187 =0,$

Using the quadratic formula $w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a}$ where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

$w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}$

$w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}$

We have two options: $w=\frac{-6+28}{2}=\frac{22}{2}=11 yards$

$w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards$ But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length $l =\frac{187}{11}=17 yards$

6 0

3 years ago

Extra Credits:

Effectus [21]

Answer:

Missing Number) 55

Property being used) Distributive

Step-by-step explanation:

To find the missing number, just plug in reasonable numbers from the other equation. It is distributive because the 55 is being distributed into everything that is inside the parentheses. If you need more help, comment and I'll be more than glad to assist you! :P

8 0

3 years ago

The two triangles are similar. What is the value of x? Enter your answer in the box. X=

fomenos

Answer:

Step-by-step explanation:

In similar triangles, the corresponding sides are in same proportion.

$\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}$

Cross multiply,

4x*12 = 15*(3x + 1)

48x = 15*3x + 15*1

48x = 45x + 15

48x -45x = 15

3x = 15

x = 15/3

x = 5

8 0

2 years ago

Solve for y 7y=84 Please help me I need this for my homework

Anon25 [30]

Answer:

y=12

Step-by-step explanation:

Lets write out the equation so it easy to work with.

7y=84

Divide both sides by 7

7y/7=84/7

Divide

y=12

4 0

4 years ago

Read 2 more answers