Please help and explain, thanks so much. <br><br> x^10 / x^4<br><br> (fraction problem)

7. Triangles CDE and RST are similar triangles. What is

andreyandreev [35.5K]

Answer:

CD = 25 ft

Step-by-step explanation:

$\triangle CDE \sim \triangle RST$

$\therefore \frac{CD}{20}=\frac{40}{32}$

(Corresponding sides of similar triangles are in proportion)

$\therefore \frac{CD}{20}=\frac{5}{4}$

$\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}}$

$\therefore CD = 5\times 5$

$\therefore CD = 25\: ft$

6 0

3 years ago

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What is the surface area of each triangular prism?

SOVA2 [1]

the surface area of the above triangular prism is 156 square inches.

Step-by-step explanation:

multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.

8 0

3 years ago

Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ

tensa zangetsu [6.8K]

Answer: RQ= 8.99 ( approx)

Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= $\frac{18+x}{RQ}$

⇒ RQ= $\frac{18+x}{tan 75^{\circ}}$

Now, In triangle MRQ,

tan 60°= $\frac{18+x}{RQ}$

⇒ RQ= $\frac{x}{tan 60^{\circ}}$

On equating both values of RQ,

$\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}$

⇒ $\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}$

⇒ $\frac{18+x}{x}=2.15470053838$

⇒ $18=2.15470053838x-x$

⇒ $x=15.5884572681$ ≈15.60

Thus RQ=8.99999999999≈8.99

6 0

3 years ago

The ratio of boys to girls in Miss Smith’s class is 3 to 5. There are 15 girls in the class. What is the total number of student

pogonyaev

Answer:

9 boys

Step-by-step explanation:

15/5

=3

3*3

=9

3 0

3 years ago

The dang answer to this here question on my practice lesson

yarga [219]

Answer is below.........

8 0

3 years ago

Read 2 more answers

Please help and explain, thanks so much. x^10 / x^4 (fraction problem)