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faltersainse [42]
3 years ago
10

A transversal intersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of

a pair of same-side exterior angles are
10w and 5v. What are the values of wand v?
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

The value of v is 6° and the value of w is 15°

Step-by-step explanation:

we know that

When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure

so

5v=2w -----> equation A

10w+5v=180 ----> equation B

substitute equation A in equation B and solve for w

10w+(2w)=180

12w=180

w=15°

Find the value of v

5v=2w -----> v=2w/5

v=2(15)/5=6°

therefore

The value of v is 6° and the value of w is 15°

You might be interested in
given MP m(-12 -5) and p(9,-12) if N lies on MP such that the ratio of MN to NP is 3:4, Find the coordinates of N
Nataly_w [17]

Answer:

The coordinates of N are (-3,-8)

Step-by-step explanation:

Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4

Mathematically, that would be;

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

we have;

m = 3 and n = 4

M is (x1,y1) while N is (x2,y2)

we have;

(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)

(x,y) = (-48 + 27)/7, (-20 -36)/7

(x,y) = (-21/7 , -56/7)

(x,y) = (-3,-8)

8 0
3 years ago
Eight less then a number is seventy five
Tom [10]
83 is your answer you simply do the oppisite and instesad of subtracting the number you add it to the result being 75

5 0
3 years ago
Porfabor necesito ayuda en la esta pregunta. ¿Encuentra cuatro pares ordenados de la siguiente función? f(x) = X3 – 2X2 – 2
zlopas [31]

Answer:

(0, -2), (1, -3), (2, -2) y (3, 7) son pares ordenados de f(x) = x^{3}-2\cdot x^{2}-2.

Step-by-step explanation:

Un par ordenado es un elemento de la forma (x,f(x)), donde x es un elemento del dominio de la función, mientras f(x) es la imagen de la función evaluada en x. Entonces, un par ordenado que está contenido en la citada función debe satisfacer la siguiente condición:

La imagen de la función existe para un elemento dado del dominio. Esto es:

x \rightarrow f(x)

Dado que f(x) es una función polinómica, existe una imagen para todo elemento x. Ahora, se eligen elementos arbitrarios del dominio para determinar sus imágenes respectivas:

x = 0

f(0) = 0^{3}-2\cdot (0)^{2}-2

f(0) = -2

(0, -2) es un par ordenado de f(x) = x^{3}-2\cdot x^{2}-2.

x = 1

f(1) = 1^{3}-2\cdot (1)^{2}-2

f(1) = -3

(1, -3) es un par ordenado de f(x) = x^{3}-2\cdot x^{2}-2.

x = 2

f(2) = 2^{3}-2\cdot (2)^{2}-2

f(2) = -2

(2, -2) es un par ordenado de f(x) = x^{3}-2\cdot x^{2}-2.

x = 3

f(3) = 3^{3}-2\cdot (3)^{2}-2

f(3) = 7

(3, 7) es un par ordenado de f(x) = x^{3}-2\cdot x^{2}-2.

(0, -2), (1, -3), (2, -2) y (3, 7) son pares ordenados de f(x) = x^{3}-2\cdot x^{2}-2.

6 0
2 years ago
Graph the system of equations.<br> 2x - y=4<br> 1 x - y = -2
dybincka [34]

PPLMway will help

Step-by-step explanation:

4 0
3 years ago
A ship is carrying gold bars and silver bars in the ratio 13:17. The ship's load
andreyandreev [35.5K]

Using proportions, considering the weight of each bar and the ratio, it is found that the ship is carrying 52 gold bars.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each bar weighs 5 kg, and the total weight is of 600 kg, hence the number of bars is given by:

n = 600/5 = 120.

The proportion of gold bars is given by:

p = 13/(13 + 17) = 13/30

Hence, out of 120 bars, the number of gold bars is given by:

nG = 120 x 13/30 = 4 x 13 = 52.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0
1 year ago
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