Mathematics High School

i really need help asap!!

Answers

Answer 1

Given:

A figure of a parallelogram.

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

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.

[tex](12b+8)^\circ+(5b+2)^\circ=180^\circ[/tex] (Supplementary angles)

[tex](17b+10)^\circ=180^\circ[/tex]

[tex]17b+10=180[/tex]

Subtract 10 from both sides.

[tex]17b=180-10[/tex]

[tex]17b=170[/tex]

Divide both sides by 17.

[tex]b=\dfrac{170}{17}[/tex]

[tex]b=10[/tex]

Now,

[tex](5b+2)^\circ=(5(10)+2)^\circ[/tex]

[tex](5b+2)^\circ=(50+2)^\circ[/tex]

[tex](5b+2)^\circ=52^\circ[/tex]

And,

[tex](5b+2)^\circ+2a^\circ=180^\circ[/tex] (Supplementary angles)

[tex]52^\circ+2a^\circ=180^\circ[/tex]

[tex]2a^\circ=180^\circ-52^\circ[/tex]

[tex]2a^\circ=128^\circ[/tex]

Divide both sides by 2.

[tex]a^\circ=\dfrac{128^\circ}{2}[/tex]

[tex]a^\circ=64^\circ[/tex]

[tex]a=64[/tex]

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

Related Questions

The mean numberr of stereos sold per day at the store was 15 over a period of 7 days which statement must be true about the stereo sales at the store

Answers

Answer:

well I don't know the options, but I do know that 105 would have been sold in a week.

Step-by-step explanation:

15 x 7 = 105

Could you guys help me please?

Answers

Answer:

1: 115

2: 65

3: 115

4: 65

5: 143

6: 37

7: 28

8: 152

PLZ HELPPP MEEEE
Combine the radicals

Answers

Answer:

C) [tex]17\sqrt{13}[/tex]

Step-by-step explanation:

[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]

What is the distance between the points (3, 4) and (3, -7)

Answers

Answer:

distance is estimated 11

help please . thank you

Answers

PLEASE DONT USE THAT LINK

The function ƒ(x) = 2x − 1 indicates:

a downward shift of 1 unit.
a shift of 1 unit to the left.
an upward shift of 1 unit.
None of these choices are correct.

Answers

Answer:

the function f(x) = 2x - 1 indicates:

a downward shift of 1 unit

as the y-intercept: (0, -1)

Find the volume of the cylinder.
Either enter an exact answer in terms of T or use 3.14 for T.
8

Answers

Answer: V= 100.48 m^3 or in terms of Pi V = 32 π m^3

Step-by-step explanation:

V = πr^2h

V = π(2)^2(8)

V = π(4)(8)

V = 100.48

V = π (4)(8)

V = 32 π m^3

Who can solve and attach a pic so I can write down how I got the answer

Answers

do NOT click on that file! it’s a virus :( ^

12. Solve for x. x = ___________

Answers

Step-by-step explanation:

this is math right what grade is this

Carrie is on Shark Tank and is offering 40% of her company for $100,000. What is the value of Carrie's company?

Answers

Answer:

I think the answer is $40,000

Step-by-step explanation:

Answer:40,000

Step-by-step explanation:

what is the area of this figure

Answers

Answer:

141

Step-by-step explanation:

2*3=6

5*9=45

6*15=90

141

Answer:

add all the sides I guess...

Step-by-step explanation:

or you can break that figure into rectangles. then find their areas and later sum up all the areas and you'll have your area of this shape

Given ^ABC~^EFD, find the value for x.

Answers

Answer:

Step-by-step explanation:

2x-3 = 5

2x = 8

x = 4

Hope this helps

I hope this helps you

in similar triangle sides are can be rate

ABC~EFD

AB/EF=BC/FD=AC/ED

5/2x-3=6/FD=4/9

9.5/4=2x-3

11.25+3=2x

2x=14.25

x=7.125

He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.

Answers

Answer:

Lucas is not right.

Step-by-step explanation:

To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675

Solution:

Value of 6 in 76,345 = 6,000

Value of 6 in 34,675 = 600

Now 6000 = 10 × 600

So,

Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

Therefore, Lucas is not right.

Answer:

Part A: Lucas is wrong.

Part B: The value of 6 in 76,345 is 6,000 and the value of 6 in 34,675 is 600.

Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.

10 × 600 = 6,000

Step-by-step explanation:

I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!

Please mark my answer as the Brainiest!!!!!

Thank You!!!!!!!!

The number line represents 1 unit. What is the distance from 0 to point C on the number line?
A) 5/2 units
B) 4/5 units
C) 3/10 units D) 4/10

Answers

4/10 Units. The number line is cut equally into 10 pieces. If you count correctly, you’ll find out point C is on the 4th spot (I couldn’t remember its name sorry)

Please help, 15 points

Answers

Answer:

The answer is 10.

Step-by-step explanation:

The equation you are given is in slope-intercept form or y=mx+b where m is the slope and b is the y intercept. Your equation is y=10x, so the slope or m is 10.

15 is 9 than j what is j in this question

Answers

Answer:

Step-by-step explanation:

15 is 9 more hence you subtract 9 from15

Hope this helps

Estimate a 20% tip on a dinner bill of $142.74 by first rounding the bill amount to the nearest ten dollars.
Estimated tip:
X
6
?

Answers

$142.74 rounded to nearest ten dollars is $140. And so now you find 20% of 140 by multiplying 140 by .20 (which is the decimal form of 20%). You’ll get $28 and that will be tip but total bill would be $140+$28 or $142.74+$28 to be exact.

Answer:$171.29

Step-by-step explanation:

if the tip amount is around $28.55 and your putting 20% it would $171.29 but it would determine how many people they are.

Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......

Answers

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486

I need help and fast

Answers

B it is B not c or a it is b

can someone please explain i am having a hard time with the math homework

Answers

Answer:

x= -1

Step-by-step explanation:

you have five of the bigger pieces and 6 of the smaller pieces and you have to get to a one. I plugged in the awnser choices and one worked for me

Lorenzo reads at a rate of 45 words per minute. If he reads at a constant rate, how many words can he read in 6 minutes?

Answers

Answer:

270

Step-by-step explanation:

45 * 6 = 270

please help me asap

Answers

Answer:

-18 10

5 -3

Step-by-step explanation:

theres some formula that tells you the general rule for multiplying 2x2 matrices but I cant find it, try looking in your textbook or ask ur teacher

matt and anglela have 40$ together angela has 5more$ than matt how much
money does matt have

Answers

Matt has 17.5 dollars because Angela has 22.5 dollars and together that is 40 dollars

Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.

Answers

Answer:

x = 2, y = -1

Step-by-step explanation:

Assuming it should be y not g

y = -2x + 3

-2y = -6x + 14

y = 3x - 7

-2x + 3 = 3x - 7

10 = 5x

x = 2

y = -1

please helpppppppppppppppp

Answers

Answer:is (4x-5)

Step-by-step explanation:

Answer: check your next period class

Step-by-step explanation:

your teacher is looking for you

what is the answer please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The mean of the following set of fractions is D. 22/75

Answer:

22/75

Step-by-step explanation:

To find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

=1/2+1/5+1/5+1/10+7/15

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

=15/30+6/30+6/30+3/30+14/30

Rewriting numerators over the common denominator,

=15+6+6+3+1430

Totaling the numerator:

=44/30

Reducing the fraction:

=22/15

Dividing by the number of values: 5

22/15÷5=22/15×15=22/75

Average of the fractions is:

Average=22/75

Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40

B. $720,421.84

C. $37,784.31

D. $556,559.8

Answers

Answer:

487,988.40

Step-by-step explanation:

I took the test

Find the area of the shape shown below.

Answers

Answer:

55 units²

Step-by-step explanation:

square = 25

triangle = 30

both = 55

Are the triangles similar ? If so which shortcut (SSS, SAS, AA) proves they are similar?

Answers

Answer:

Yes, SAS.

Step-by-step explanation:

3/5 = 0.6 and so does 4.8/8

1 Roxie is coloring a rectangle sheet of paper. If the base of the rectangle is 8 inches and the height is 11 inches. What is the area Roxie colored?

Answers

88 inches. Area = base x height so 8 x 11 = 88

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