3 years ago

I need help on how to do this as soon as possible please

Mathematics

1 answer:

AfilCa [17]3 years ago

6 0

Answer:

Step-by-step explanation:

m∠1 = m∠2 {Corresponding angles}

78 - 2x = 89 - 3x

Add 3x to both sides

78 - 2x + 3x = 89

78 + x = 89

Subtract 78 from both sides

x = 89 - 78

x = 11

You might be interested in

8-2b=-2/3(12b+6) solve

Natalija [7]

We have to mutiply factor -2/3 times every agument from the parenthesis.
$8-2b=- \frac{2*12b}{3}- \frac{2*6}{3} \\ 8-2b= -8b-4 \\$ /+8b
8+6b=-4 /-8
6b=-12 /:6
b=-2 - its the answer

7 0

2 years ago

Read 2 more answers

What is the height of the tree in the image below? 10 points Wall 4 6 ft 24 O I foot O 36 foot None of the above

Zinaida [17]

16 ft

Explanation

Step 1

because the ligth comes in the same angle, we have 2 similar triangles .

so,as the triangles are similar,the ratio of the shorter leg to the bigger leg must be equal.

$\begin{gathered} ratio=\frac{shorter\text{ leg}}{\text{bigger leg}} \\ ratio1=ratio2 \\ \frac{h}{24}=\frac{4}{6} \end{gathered}$

Step 2

solve for h

$\begin{gathered} \frac{h}{24}=\frac{4}{6} \\ \text{cross multiply} \\ 6\cdot h=4\cdot24 \\ 6h=96 \\ \text{divide boths} \\ \frac{6h}{6}=\frac{96}{6} \\ h=16 \end{gathered}$

therefore, the heigth of the tree is 16 ft