1. Name the pair of congruent sides in the figure below.

Mathematics

1 answer:

Anon25 [30]3 years ago

5 0

Answer:

Note that the sum of the angles in a triangle are 180.

1. B. <R = 180 - 70 -55 = 55. Since <R = <T, then RS = ST

2. D. <J = 180 - 42 -96 = 42 = <K, so JL = KL = 12

3. B. Let the base angle = x. The vertex angle = 2x + 50. The sum of the angles in a triangle is 180, so x + x + 2x + 50 = 4x + 50 = 180 -> 4x = 130 -> x = 32.5.

4. D. Since <S = <Q, RQ = RS. Thus, 2x + 4 = 18 -> 2x = 14 -> x =7

I hope this helps!

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Given thatP(5,4) Q(8,10) and R (X,18) are collinear. Find X

aleksley [76]

Answer:

x = 12.

Step-by-step explanation:

If P(5,4),Q(8,10) and R(x,18) are collinear

then the slope of PQ equals the slope of QR

hence:

(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)

6/3= 8/(x - 8)

2 = 8/(x - 8)

multiplying both sides by (x - 8) gives:

2(x - 8) = 8

2x - 16 = 8

2x = 8 + 16 = 24

hence x = 12

8 0

2 years ago

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I have ₹355.50 in my pocket . i purchased a shirt for ₹ 235.50 and a pair of socks for ₹ 22.65. How much money is left with me n

Korolek [52]

Answer:

97.35

Step-by-step explanation:

355.5 - 235.5 -22.65

I am subtracting 235.5 and 22.65 from 355.5 because I am spending that much money on the things.

=> 355.5 - 235.5 - 22.65

=> 120 - 22.65

=> 97.35 rupees

So, 97.35 rupees is left

3 0

3 years ago

I need help again.lol

Monica [59]

Answer:

$13\ units$

Step-by-step explanation:

One is asked to find the distance between two points on a coordinate plane. The easiest way to do so is to use the distance formula, this formula is the following:

$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2$