1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melamori03 [73]
3 years ago
12

If PQR ~ UTV, find the value of x.

Mathematics
1 answer:
user100 [1]3 years ago
5 0

The value of x is 15.

Solution:

Given ΔPQR \sim ΔUTV.

<em>If two triangles are similar, then the corresponding parts are congruent.</em>

$\Rightarrow \frac{PR}{UV} =\frac{RQ}{VT}

$\Rightarrow \frac{14}{x + 6} =\frac{8}{x -3}

Do cross multiplication, we get

⇒ 14(x - 3) = 8(x + 6)

⇒ 14x - 42 = 8x + 48

Add 42 on both sides.

⇒ 14x = 8x + 90

Subtract 8x on both sides.

⇒ 6x = 90

Divide by 6 on both sides.

⇒ x = 15

The value of x is 15.

You might be interested in
(-11x^2 +6) - (14x^2 +2)
Nataly [62]

Answer:

−1(5−2)(5+2)

Step-by-step explanation:

Eliminate redundant parentheses

(−11²+6)−1(14² +2)

Distribute

−11² + 6 -- 1(14² +2)

−11² + 6 - 14² − 2

8 0
2 years ago
What is one way you can calculate 0.25 times 0.044 as a decimal?
Rudik [331]

Answer:

0.011

Step-by-step explanation:

let's see so first

first you line the numbers on the right (DO NOT ALINE DECIMAL POINTS)

second, starting from on the right multiply each digit in the top number by each digit in the bottom number just as whole numbers .

after add the products

7 0
2 years ago
which expressions represents a 20% discount off the price of an item that originally cost D dollars ​
Charra [1.4K]

Answer:

D - (D/5)

Step-by-step explanation:

Let's imagine that D equals 100 dollars -

Well, we know that to get 20% of an amount, we need to divide the amount by five. So let's do that -

100 / 5 = 20

We now know that 20% of 100 dollars is equal to 20 dollars. We have now finished the first part. On to the second part.

We now need to take away 20% of 100 dollars off of 100 dollars - this is the price of the item after the discount.

100 - 20 = 80 dollars.

We now fit in D instead of 100 dollars -

D - (D/5)

6 0
3 years ago
Read 2 more answers
A $78.00 pair of shoes cost $84.63 after tax is added. What
Evgen [1.6K]
6.63 is the answer barbz
8 0
2 years ago
Which cypress ion is equivalent to 4(x+2) ?<br> 6x<br> 4(x)+4(2)<br> 4(x)+4<br> 8x
jenyasd209 [6]

Answer:

4(x) + 4(2)

Step-by-step explanation:

4(x+2) = 4(x) + 4(2)

Distribution property

5 0
2 years ago
Other questions:
  • Write the equation 10x+5y=5 in the slope intercept form. Then graph the line
    10·1 answer
  • I only have a couple minutes pls help meee!!
    13·1 answer
  • If the relationship is proportional, what is the missing value from the table? x / y 8 / 6 16 / ? 24 / 18 answers under here! 8,
    10·2 answers
  • Finde the equivelent expresion 12a+6b
    15·1 answer
  • What are some easy ways to find the value of<br> (2017^4−2016^4)/(2017^2+2016^2) without calculator
    5·1 answer
  • Which point is located at 2 StartFraction 7 Over 10 EndFraction? A number line going from 2 to 3. There are 10 equal spaces betw
    14·2 answers
  • Pls help. (Use answers below)
    14·2 answers
  • 9 of the students in Sarah's grade like to watch football and 12 like to watch figure skating. 7 students like to watch both foo
    13·1 answer
  • G(x)=−4x+4, find g(3)
    15·1 answer
  • Write an equation in slope - intercept form for the line that passes through the given paint andis perpendicular to the given éq
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!