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vitfil [10]
3 years ago
14

I really need help asap!!

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

Given:

A figure of a parallelogram.

The vertex angles are (12b+8)^\circ,(5b+2)^\circ,2a^\circ.

To find:

The values of a and b.

Solution:

We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.

(12b+8)^\circ+(5b+2)^\circ=180^\circ       (Supplementary angles)

(17b+10)^\circ=180^\circ

17b+10=180

Subtract 10 from both sides.

17b=180-10

17b=170

Divide both sides by 17.

b=\dfrac{170}{17}

b=10

Now,

(5b+2)^\circ=(5(10)+2)^\circ

(5b+2)^\circ=(50+2)^\circ

(5b+2)^\circ=52^\circ

And,

(5b+2)^\circ+2a^\circ=180^\circ       (Supplementary angles)

52^\circ+2a^\circ=180^\circ

2a^\circ=180^\circ-52^\circ

2a^\circ=128^\circ

Divide both sides by 2.

a^\circ=\dfrac{128^\circ}{2}

a^\circ=64^\circ

a=64

Therefore, the value of a is 64 and the value of b is 10.

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The diagonals of a quadrilateral QRST intersect at P(2,3). QRST has vertices at Q(3,6) and R(-3,5). What must be the coordinates
Sergio [31]

Answer:

S (1 , 0)

T (7 , 1)

Step-by-step explanation:

If QRST is a parallelogram, P is the mid point of segment QS and segment RT.

Basic formula for mid-point of segment: ((x1+x2)/2 , (y1+y2)/2)

T (x₁ , y₁)    S (x₂ , y₂)   P (2 , 3)    Q (3 , 6)   R (-3 , 5)

2 = (x₁ + (-3))/2         x₁ = 7

3 = (y₁ + 5)/2            y₁ = 1

T (7 , 1)

2 = (x₂ + 3))/2         x₂ = 1

3 = (y₂ + 6)/2           y₂ = 0

S (1 , 0)

4 0
2 years ago
1) Solve the following equations : a)x/5 + 10 =15 b) 25x + 26 = 101
julia-pushkina [17]

Answer:

1a) 25, 1b) 3, 2a) 14, 2b) 4

Step-by-step explanation:

1a)

x/5 + 10 = 15

Subtract 10 from both sides:

x/5 = 15 - 10

x/5 = 5

Multiply both sides by 5:

x = 5 * 5

x = 25

1b)

25x + 26 = 101

Subtract 26 from both sides:

25x = 101 - 26

25x = 75

Divide both sides by 25:

x = 75/25

x = 3

2a)

Four less than a number is 10.

Let's call the number x. This means:

x - 4 = 10

Now add 4 to both sides:

x = 10 + 4

x = 14

2b)

The product of three and a number equals 12.

Let's call the number x. This means:

3 * x = 12

Now divide both sides by 3:

x = 12/3

x = 4

4 0
2 years ago
Tres corredoras salieron a entrenar Amalia recorrio 4,121 km ; Luciana 1,55 km mas que Marta y esta 1 8/2 km menos que Amalia. ¿
tatiyna

Answer:

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

Step-by-step explanation:

El enunciado tiene un error tipográfico que induce a equivocación. El enunciado correcto es el siguiente: <em>Tres corredoras salieron a entrenar Amalia recorrió 4,121 kilómetros; Luciana 1,55 kilómetros más que Marta y esta 1 8/25 kilómetros menos que Amalia. ¿Cuántos kilómetros recorrió Luciana y Marta? </em>

Sean x,y,z las distancias recorridas por Amalia, Marta y Luciana, en kilómetros. A partir de la descripción del enunciado tenemos el siguiente sistema de ecuaciones lineales:

Amalia

x = 4,121\,km (1)

Marta

y = x-1.32\,km (2)

Luciana

z = y + 1.55\,km (3)

La solución del sistema de ecuaciones lineales es:

x =4,121\,km, y = 2,801\,km, z = 4,351\,km

Luciana y Marta recorren 4,351 kilómetros y 2,801 kilómetros, respectivamente.

8 0
3 years ago
Select the correct answer from each drop-down menu. the profit earned by a sporting goods outlet is modeled in the graph below,
nirvana33 [79]

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

V=4/3pi(r^3)

V=4/3pi(9^3)

V=3,054 inches^3

Hope this helps!!!!!!!!!

Step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

8 0
3 years ago
Solve: -3 + 7 -5 + (-10)​
alexira [117]

Answer:

it is -11 because use the cauculator lol

3 0
3 years ago
Read 2 more answers
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