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Igoryamba
3 years ago
6

Find the value of x in the triangle shown below. a. x=21 b. x=42 c. x= 15 d. x=21

Mathematics
2 answers:
elena55 [62]3 years ago
7 0

THEOREM:

  • <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

ANSWER:

By pythagorean property,

  • x² = 12² + 9²
  • x² = 144 + 81
  • x² = 225
  • x = √225
  • x = 15 units.

So, <u>Correct choice</u> - [C] 15 units.

wel3 years ago
3 0

Answer:

Answer:

\huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\

by using Pythagoras law:

h²=p²+b²

x²=9²+12²

x=√225=15unit

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Leya [2.2K]

If both triangles are congruent (that's what the sign means), then AD=CB, and CD=AB. Substituting what we are given into CD=AB,


6x-5=3x+10

Solving the equation:

3x=15

x=5

So we know that 2x+4 (the value of AD) becomes 2*5 +4, and you get 14. Since we know that AD=CB, then CB is also 14. No need to find y!

Answer: CB=14

8 0
3 years ago
4x2 + 5x - 10 <br> plz and thank
Nitella [24]

Answer:

i think you are missing something

Step-by-step explanation:

5 0
3 years ago
△WPJ∼△DNJ<br> What is PWPW ?<br> Enter your answer in the box.
Kruka [31]
Use <em>CPCTC</em> and make ratios and proportionalities to find the value of segment PW:

If △WPJ∼△DNJ, then according to CPCTC, WP must be proportional to DN and PJ must be proportional to JN. Now, we can make a ratio:

\frac{WP}{DN}= \frac{PJ}{NJ} 

Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64

\frac{WP}{87.5}= \frac{64}{56}

Solve for x. You can do it by cross-multiplication.

\frac{WP}{87.5}= \frac{64}{56} \\ 56*WP=64*87.5 \\ 56*WP=5600 \\ WP=100

The measure of segment WP is 100 meters.

5 0
3 years ago
A basketball player has a 50% chance of making each free through.what is the probability that the player makes at least 11 out o
Inessa05 [86]

Answer:

P = 12·0.5^11·0.5^1 + 0.5^12 = 13/4096 = 0.0032 = 0.32%

6 0
3 years ago
Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5
Volgvan

Answer:

The first option will take a total of 3.2 hours while the second option will take just 3 hours

This shows that the second option is faster

Step-by-step explanation:

Here, we want to compare two hiking options and see the one which is faster.

At any point in time;

Distance = speed * time

In the first option, he could hike at 3 mph for two hours.

Total distance covered would be 3 * 2 = 6 miles

Distance left = 12 miles - 6 miles = 6 miles

Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours

Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours

For the second option;

Time = distance/speed = 12 miles/4 mph = 3 hours

We can see that the second option is faster

8 0
3 years ago
Read 2 more answers
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