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olga nikolaevna [1]
2 years ago
11

3. Use the following diagram to solve for x.

Mathematics
1 answer:
Vikentia [17]2 years ago
4 0

The value of x from the given diagram is -6

<h3>Lines and angles</h3>

Line is defined as the distance between two points. Given the line RP with the following measures

RP = 17

RQ = x + 14

QP = x + 15

Using the expression

RP = RQ + QP

Substitute

17 = x + 14 + x + 15

17 = 2x + 29

Determine the value of x

2x = 17 - 29
2x= -12

x = -6

Hence the value of x from the given diagram is -6

Learn more on lines here: brainly.com/question/6950210

#SPJ1

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An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isos
Firdavs [7]
Check the picture below.

now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.

now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.

thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.

4 0
3 years ago
HELP!!
Crazy boy [7]

Answer:

60

Step-by-step explanation:

45 divided by 9 is 5. So you multiply 4 times 5. Which equals 20. So 20 plus 45 is 65. Hope you understand it.

5 0
3 years ago
Which of the following would have a negative impact on determining eligibility for a home loan? a. earning extra income b. movin
storchak [24]

solution:  option D is correct i.e., withdrawing money from savings.

explanation:

if someone is taking home loan then he has to pay it back also. but if he is withdrawing money from savings then he will don't have money to return in future. so he should save as much as he can.

so withdrawing money from savings would have a negative impact on determining eligibility for a home loan.

3 0
3 years ago
Computer software generated 500 random numbers that should look like they are from the uniform distribution on the interval 0 to
Tanya [424]

Answer:

0.2 ; 100 ; 4.84

Step-by-step explanation:

Given that the probability of each of the 5 groups is the same :

Sum of probability = 1

Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2

Expected number for each interval for a sample of 500 : ; X = 500

E(X) = X * P(x) = 500 * 0.2 = 100

Goodness of fit (X²) :

X² = Σ(X - E)² ÷ E

Groups :

113, 95, 108, 99, and 85

X : 113 ____ 95 ____ 108 ____ 99 _____ 85

(113 - 100)^2 / 100 = 1.69

(95 - 100)^2 / 100 = 0.25

(108 - 100)^2 / 100 = 0.64

(99 - 100)^2 / 100 = 0.01

(85 - 100)^2 / 100 = 2.25

(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84

7 0
2 years ago
Two parallel lines are crossed by a transversal. Horizontal and parallel lines y and z are cut by transversal x. At the intersec
ruslelena [56]

Those two angles have the same measure, so you have

2k+11=131 \iff 2k=120 \iff k=60

3 0
3 years ago
Read 2 more answers
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