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3 years ago

What is the value of y in the following system of equations?

Mathematics

1 answer:

MArishka [77]3 years ago

4 0

Answer:

-25

Step-by-step explanation:

make both equal

x-10=2x+5

add

-2x+x=10+5

-x=15

x=-15

solve for Y

y=x-10

y=-15-10

y=-25

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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.

LuckyWell [14K]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle.

Opposite angles of a Quadrilateral are Supplementary.

$\therefore \: \angle A + \angle C = 180° \\ \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\ \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x = \frac{176}{4} \\ \therefore \: x = 44 \\ \\ m\angle A = (2x + 3) \degree \\ = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle A =91 \degree}} \\ \\ m\angle C = (2x + 1) \degree \\ = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle C=89\degree}} \\ \\ m\angle D= (x - 10) \degree \\ = (44 - 10) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle D =34\degree}} \\ \\ similarly \\ \\ \huge \red{ \boxed{ \therefore \: m\angle B = 146\degree}} \\ \\$

6 0

3 years ago

A line connects points A and B ( -5,5 and -5,-3) as shown below. If a third point, C, is plotted six units to the right of point

Strike441 [17]

1,5 is the answer my guy!

8 0

3 years ago

Read 2 more answers

Which statement is true regarding the functions on the graph?

sergey [27]

Answer:

f(3) = g(3)

General Formulas and Concepts:

Algebra I

Reading a Coordinate Graph
Coordinates (x, y)
Solving systems of equations by graphing
Functions
Function Notation

Step-by-step explanation:

According to the graph, we see that both lines intersect at x = 3. Therefore, that means both lines at that x point will have the same y value. Both f(3) and g(3) would equal 6, leading us to the answer of f(3) = g(3).

7 0

3 years ago

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Which of the following represents the ratio of the short leg to the hypotenuse

inn [45]

I believe the answer is C

3 0

3 years ago

when you go to answer this, can someone please give me the steps on how to do it, because I think I'm doing it wrong

leva [86]

Answer:

TUA=123

Step-by-step explanation:

so first we find <TUS in terms of x

so 180-11x-2

178-11x

so now we can use the sum of a triangle's angles which is always 180 to find the angles in triangle TUS

178-11x+5x+10+58=180

178-6x=112

take 178 from both sides

-6x=-66

x=11

so we can do 11x11+2=TUA

TUA=123

6 0

3 years ago