What is the value of x? Enter your answer in the box (Please hurry)

Mathematics

1 answer:

GaryK [48]3 years ago

7 0

Answer:

$\large\boxed{x=20}$

Step-by-step explanation:

The whole triangle and small triangle are similar (AA). Therefore the sides are in proportion:

$\dfrac{5x+10+10}{10}=\dfrac{121+11}{11}$

$\drac{5x+20}{10}=\dfrac{132}{11}$ cross multiply

$11(5x+20)=(10)(132)$ use distributive property

$(11)(5x)+(11)(20)=1320$

$55x+220=1320$ subtract 220 from both sides

$55x=1100$ divide both sides by 55

$x=20$

You might be interested in

Write a linear function rule for the data in the table. x 0 1 2 3 4 y 3 1 –1 –3 –5

Dima020 [189]

Answer:

f(x) = –2x + 3

Step-by-step explanation:

7 0

2 years ago

3. Find the lengths of d d 15 7 6 10

siniylev [52]

Answer:

Step-by-step explanation:

As you can see on the side it says 15 and that is the length of the structure and it would be the same all around

4 0

2 years ago

What are the solutions of x² + 6x - 16 = 0?

AveGali [126]

Step-by-step explanation:

$x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}}{2\cdot \:1}\\\sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}\\\sqrt{6^2+64}\\\sqrt{36+64}\\\sqrt{100}\\\sqrt{10^2}\\=10\\x_1=\frac{-6+10}{2\cdot \:1},\:x_2=\frac{-6-10}{2\cdot \:1}\\\\\bold{x_1:2}\\\frac{-6+10}{2\cdot \:1}\\\frac{4}{2\cdot \:1}\\\frac{4}{2}\\=2\\\\\bold{x_2:-8}\\\frac{-6-10}{2\cdot \:1}\\\frac{-16}{2\cdot \:1}\\\frac{-16}{2}\\-\frac{16}{2}\\=-8$