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Vikki [24]
3 years ago
12

Find the radius r of C.

Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

Answer:

10

Step-by-step explanation:

By Pythagoras' Theorem:

16 + r = √(24^2 + r^2)

(16 + r)^2 = 24^2 + r^2

256 + 32r + r^2 = 576 + r^2

32r = 320

r = 10

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Given: S is the midpoint of QR, QR¯⊥PS¯ and ∠RSP and ∠QSP are right angles.<br><br> Prove: PR≅PQ
tigry1 [53]

ΔRSP ≅ ΔQSP by SAS. Therefore, PR ≅ PQ by CPCTC theorem.

<h3>What is the CPCTC Theorem?</h3>

If two triangles are congruent, the CPCTC theorem states that all corresponding parts of the two triangles would also be congruent to each other.

Since S is the midpoint of QR, therefore, RS ≅ QS (one pair of congruent sides)

∠RSP ≅ ∠QSP [right angles] (one pair of congruent included angles)

SP ≅ SP based on the reflexive property (one pair of congruent sides)

Therefore, ΔRSP ≅ ΔQSP by SAS.

Conclusively, PR ≅ PQ by CPCTC theorem.

Learn more about the CPCTC theorem on:

brainly.com/question/6076251

#SPJ1

5 0
2 years ago
-5/4x+2/5=-13/30. What is the solution to ths equation
uysha [10]
2/3 is the answer to this problem.
8 0
3 years ago
If per unit variable cost of a product is Rs.8 and fixed cost is Rs 5000 and it is sold for Rs 15 per unit, profit in 1000 units
ExtremeBDS [4]

Answer:

a.. rs 7000

Because 15×1000=15000 it is SP when selling 1000units in the rate of Rs 15/unit& 8×1000=8000 this is cp when buying 1000 units in the rate of Rs 8/unit.

So,by formula of profit,

Rs (15000-8000)=Rs7000

6 0
3 years ago
For the function F(x)=1/x+1 which of these could be a value of F(x) when x is close to -1
Allushta [10]

Answer:

Step-by-step explanation:

f(x)=1/(x+1)

f(x)=1/(-0.99+1)=100

i can't see the last choice but i gave an example

i hope it works

3 0
3 years ago
Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ​∠2​ ?
ss7ja [257]

Answer:

142° is the measure of angle 2.

Step-by-step explanation:

When two lines intersect, they make four angles. The angles facing each other are equal.

Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.

The measure of angle 3 = 38 degrees.

We know that the angle 1 is against angle 3 and is equal to 38.

Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.

Now, the sum of all four angles = 360 degrees

∠1 + ∠2+ ∠3 + ∠4 = 360°

38° + x + 38° + x = 360°

2x = 360° - 76°

2x = 284°

x = 142°

Hence, ∠2 = 142°

3 0
3 years ago
Read 2 more answers
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