Mathematics High School

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Answer 1

Answer:

As the opposite angles of a cyclic quadrilateral, A is supplementary with C and B is supplementary with D.

In the trapezoid, angle A is supplementary with D and angle B is supplementary with C.

It means ∠A ≅ ∠B and ∠D ≅ ∠C

Now, ∠ABD ≅ ∠ACD as both angles intercept same arc AD.

So we have:

m∠B = m∠ABD + m∠DBC = 35° + 72° = 107°andm∠C = 180° - m∠B = 180° - 107° = 73°

So angles B and A are 107° and angles D and C are 73°

PXR is exterior angle of triangle XSR.

Angles Q and S are supplementary as opposite angles of a cyclic quadrilateral QPSR.

m∠PXR = m∠XRS + m∠XSR = 20° + (180° - 80°) = 120°

Related Questions

What is the value of x in theequation 2.5 (6x - 4) = 10 + 4 (1.5 +0.5 x)?

1/3

1/2

2

13

Answers

Answer:

x = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

2.5(6x−4)=10+4(1.5+0.5x)

Step 1: Simplify both sides of the equation.

2.5(6x−4)=10+4(1.5+0.5x)

(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)

15x+−10=10+6+2x

15x−10=(2x)+(10+6)(Combine Like Terms)

15x−10=2x+16

Step 2: Subtract 2x from both sides.

15x−10−2x=2x+16−2x

13x−10=16

Step 3: Add 10 to both sides.

13x−10+10=16+10

13x=26

Step 4: Divide both sides by 13.

x=2

0=(x-8)^2-100 Solve the problem using any type of way.

Answers

0 = (x-8)^2 -100

Add 100 to both sides

100 = (x-8)^2

Take the square root of both sides

10 = (x-8)

Remove the parentheses

10 = x-8

Add 8 to both sides

18 = x

Answer: x = 18

find value of the variable

Answers

Answer:

x=10

Step-by-step explanation:

16/24=(x-2)/12

or, 16/2=x-2

or, 8=x-2

or, x-2=8

or, x=10

Answered by GAUTHMATH

plzz help will mark brainliest

Answers

Answer:

Step-by-step explanation:

x^2 + 11y + y^2 -3x + 11 = 5x +23 - y

First put it into general form by setting the equation to zero and moving all variables to one side.

x^2 + 11y + y^2 -3x + 11 = 5x +23 - y

+y -5x -11 -11

x^2 + y^2 - 8x + 12y = 12

Then solve by completing the square

x^2 - 8x y^2 + 12y = 12

(x - )^2 + (y + )^2 =

Half of 8 is 4

Then square 4 to get 16

Therefore, we plug the 4 into the first parentheses

x^2 - 8x + 16 + y^2 + 12y =12 +16

(x - 4)^2 + (y + )^2 =

Half of 12 is 6

Squared, that would be 36

plug this into the second parentheses

x^2 - 8x + 16 + y^2 +12y + 36 = 12 + 16 + 36

(x - 4)^2 + (y + 6)^2 =

12 + 16 = 28 + 36 = 64

Therefore, the equation of the circle is: (x - 4)^2 + (y + 6)^2 = 64

Which is option D

please help!! asap need 5 and 6

Answers

Answer:

both substitutions

Step-by-step explanation:

in 5. based on 3 BC is substituted by its equal counterpart AB.

and in 6. we use 1. to substitute AC by its associated absolute value.

In a bowl of fruit, there are green grapes and black grapes in the ratio 3 : 4

If there are 24 green grapes, how many black grapes are there?

Answers

Answer:

Step-by-step explanation:

Green : black

3 4

We have 24 green

3+8=24

so multiply each side by 8

Green : black

3*8 4*8

24 32

There are 32 black grapes

Answer:

Step-by-step explanation:

By Question :-

Green grapes: Black grapes= 3:4

Let :-

Number of black grapes = x

Therefore,

GG/ BG = 3/4 24/x = 3/4 x = 24 × 4/3x = 8 × 4x = 32

Which number is greater than 234,781,114?
A. 3.425 x 10 to the power of 6
B. 3.425 x 10 to the power of 8
C. 3.425 x 10 to the power of 7
D. 3.425 x 10 to the power of 5

Answers

Answer:

I think its B.

Step-by-step explanation:

sorry if i am wrong.

Find the length of the third side. If necessary, round to the nearest tenth. 6 10

Answers

If you round, it’ll be 7,0

Answer:

Step-by-step explanation:

SOMEONE HELP PLEASE I NEED ANSWER

Answers

T=55+6w is the equation

at the end of 8 weeks you do
T=55+6x8
which equals 103$

Answer:

T = 55 + 6w and $103

Step-by-step explanation:

We have already saved $55, so that is our constant. We gain $6 per week, so that will be our w value

T = 55 + 6w

Solving for T when w = 8 weeks

T = 55 + 6(8)

T= 55 + 48

T = $103

How many times is value of the digit 3 in 45.2638 lesser than value of the
digit 3 in 356.987?
1/100000
100000
10000
1/1000

Answers

Answer:

100000 times lesser

Step-by-step explanation:

The value of the digit 3 in 45.2638 is 0.003 and the value of the 3 in 356.987 is 300. 300/0.003 = 100000

In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

Answers

Given:

In triangle [tex]ABC, AC=13, BC=84, AB=85[/tex].

To find:

The measure of angle C.

Solution:

Law of Cosines:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]\cos C=\dfrac{BC^2+AC^2-AB^2}{2(BC)(AC)}[/tex]

Substituting the given values, we get

[tex]\cos C=\dfrac{(84)^2+(13)^2-(85)^2}{2(84)(13)}[/tex]

[tex]\cos C=\dfrac{7056+169-7225}{2184}[/tex]

[tex]\cos C=\dfrac{0}{2184}[/tex]

[tex]\cos C=0[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}(0)[/tex]

[tex]C=90^\circ[/tex]

Therefore, the measure of angle C is 90 degrees.

Answer:

eason

Step-by-step explanation:

boy

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