Angles a and b are ertical angles the measure of angle a is 8x+1 and angle b is 21-2x find each angle measure

Answers

Answer 1

Answer:

Angle a = 17°

Angle b = 17°

Step-by-step explanation:

Angles a and b are vertical angles the measure of angle a is 8x+1 and angle b is 21-2x find each angle measure

Vertical angles are angles that are equal to each other

Step 1

We find x

a = b

Hence,

8x+1 = 21-2x

Collect like terms

8x + 2x = 21 - 1

10x = 20

x = 20/10

x = 2

Step 2

We find each angle

Angle a

8x+1

x = 2

Angle a = 8(2) + 1

= 17°

Angle b

21-2x

x = 2

21 - (2 × 2)

= 21 - 4

= 17°

Therefore:

Angle a = 17°

Angle b = 17°


Related Questions

a box of socks contain 5 white socks 3 grey socks 4 black socks and 1 blue sock. is Sophie closes her eyes and randomly pick two socks from the box what is the probobility that both socks are grey

Answers

Answer:

3 out of 13 chance of getting grey socks

can someone plz help me ​

Answers

Answer:

d = 6.3 units

Step-by-step explanation:

Distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Your ordered pairs (-8, 6) and (-6, 0)

d=√((-6-(-8))²+(0-6)²)

d=√((-6+8))²+(-6))²)

d=√((2)²+ 36)

d = √40

d = 6.32...

d = 6.3

6.3 I think good luck

Billy wants to find out which cafeteria food is the favorite in his school for students. He surveys 100 students. 29 students select sub sandwiches, 35 select steak and gravy, and 36 select fried chicken. if you select one of these students. What is the probability it will be a student who prefers chicken


Answer choices
A. 7/20
B. 9/25
C. 40%
D.29/100​

Answers

Answer:

36% or  9/25

Step-by-step explanation:

35+36+29=100 so 100-35-29=64 and 36 are left so you divide 9/25 and you get 0.36 and you put it into a percentage and the answer is 36% or  9/25.

The probability it will be a student who prefers chicken is, 36/100.

What is probability?

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

Given that,

He surveys 100 students,

29 students select sub sandwiches,

35 select steak and gravy,

and 36 select fried chicken

The probability of selecting a student who prefers fried chicken can be found by dividing the number of students who prefer chicken by the total number of students surveyed:

36/100 = 36%.

This can also be expressed as a decimal or a percentage:

0.36 or 36%.

To know more about Probability check:

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What does "y-> - «" mean?

Answers

Answer:

y approaches negative infinty

Can someone help me with this geometry question?

Answers

Answer:

A, E

Step-by-step explanation:

A: The angles are opposite (and we know that in parallelograms, opposite angles are congruent.)

E: In parallelograms opposite sides are parallel.

1. Write a formula to represent the
nth term of the sequence: arithmetic
6, 11, 16, 21...
Find the 21st term of the sequence:

Answers

Answer:

5n + 1

5(21) + 1

105 + 1

106

21st term is 106

PLZ HELP ME WITH 6 * 5/6 THANKS

Answers

Answer:

5

Step-by-step explanation:

5/6 x 6 = 30/6

Basically just multiply the numerator and whole number to get the new numerator. Put that on top of the denominator and then convert it to the simplest fraction (if necessary).

Help! Me with this question

Answers

The answer is B because
12^2+16^2=c^2
144+256=400
Square root of 400 is 20

PLEASE HELP THE LAST AWNSER IS D. 2

Answers

Answer:

A.1

Step-by-step explanation:

A LINEAR FUNCTION WILL ALWAYS LOOK LIKE A STRAIGHT LINE, IT WILL NEVER BE CURVED.

LINEAR= LINE NOT CURVED LINE SO THE ANSWER WOULD BE A.1

create an expression equal to 49 + 28

Answers

Answer:

55+20

Step-by-step explanation:

The expression equal to 49+28 is (40+9)+(20+8).

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given numerical expression is 49+28.

Here, sum of 49 and 28

49+28=(40+9)+(20+8)

Therefore, the expression equal to 49+28 is (40+9)+(20+8).

To learn more about an expression visit;

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PLEASE HELP!!!
a
300 cm
b
60 cm
c
20 cm
d
45 cm

Answers

Answer:

45 cm

Step-by-step explanation:

Let length of the field in the drawing  = x

80 : 120 :: 30 : x

Product of extreme = Product of means

80 * x = 120 * 30

      [tex]x = \frac{120*30}{80}\\\\x = 15 * 3\\x = 45[/tex]

On a field trip there are 30 kids and 6 adults. Which of the following is a correct way to represent the ratio of these two quantities?
A) 5 kids per 1 adult
B)15 kids per 4 adults
C)1 adult per 5 kids
D)2 adults per 10 kids
This is for a TEST so can u show the work

Answers

A) 5 kids per 1 adult

Which statement describes how to locate the point left parenthesis 0 comma space 2 right parenthesis from the origin on a coordinate grid?

Answers

Answer:count 0 units to the right and count 2 units up

Step-by-step explanation:

Answer:

Count 0 units to the right, and count 2 units up.

Step-by-step explanation:

geometry, can u help????

Answers

Well since we’re given 2 angles, 62 and 58, we have enough information to solve the problem.

Since any triangles angles always add up to 180 degrees, we can simply add up 62 and 58 then subtract from 180.

62
+58
———
120

Now to find the last angle of the triangle you have to subtract 120 from 180 which is 60 degrees. This means x = 60.

However we’re not done, with this 60 we can now calculate y. Since the line is a 180 angle line! We can just subtract 60 from 180 which gives us 120.

The angle of y is 120

Mr. Platt buys 5 calculators to use in his classroom and pays $44.95. Construct a model or diagram to represent this relationship. Write an equation that could be used to find the price, C, of each calculator.

Answers

Answer:

I cant really help with the diagram but the equation is

$44.95 divided by 5 = $8.99

Answer: The equation is 5c = 44.95

Step-by-step explanation:

The equation is 5c = 44.95, when c is the price of each calculator.

Solve x2 - 10 = 0. If necessary, round to the nearest hundredth.

Answers

9514 1404 393

Answer:

  3.16 or -3.16

Step-by-step explanation:

Add 10 and take the square root.

  x^2 = 10

  x = ±√10 ≈ ±3.16

x is 3.16 or -3.16

Help me solve this problem please

Answers

Answer:

if you can try to go on your phone and then theres a app that lets you take a picture then it will answe it

Step-by-step explanation:

i also need this asap

Answers

Answer:

x=180-(67+52)

Step-by-step explanation:

a linear pair is 180

we are already have two angles add them together

subtract that from 180 and you will get the last angle

Can someone please help me pleaseeee!

Answers

Answer:

y=-1.7x+8

Step-by-step explanation:

An equation of a line is y=mx+c

m is the gradient and c is the y intercept, which is where the line intercepts y.

you work out m getting two points and then subtracting y - y ÷ x - x

So in this graph, if we chose points (6,-2) and (3,3) then we would do this equation.

[tex] \frac{3 - - 2}{3 - 6} = \frac{5}{ - 3} = - 1.7[/tex]

So m = -1.7

c = 8 because it goes through 8 in y.

So the equation is y=-1.7x+8

9. Madeline and Jonathan want to purchase a home in six years. They will contribute $540 every six months to a savings account with 5.25% Interest, compounded quarterly. What is the future
value of this Investment, when Madeline and Jonathan need to make a down payment? (4 points)
O $7,559.06
O $15,118.11
$7,502.45
$7,658.27

Answers

c is correctttttttttttt

Find the exact value of x

Answers

Answer:

Step-by-step explanation:

Remark

By manipulating parts of right angle triangles, you get 15/x = x/6

Solution

x^2 = 90

x = sqrt(90)

x = sqrt(3*3 * 2 * 5)

x = 3*sqrt(10)

Can someone help me on this?? 10 points to whoever helps.

Answers

Answer:

whats the question?

Step-by-step explanation:

15 points!!!! Find the value of x.
102
54
6x
O A. 8
B. 6
O C. 17
D. 9

Answers

Answer:

A. 8

Step-by-step explanation:

Given,

54° + 6x° = 102°

=> 6x = 102 - 54

=> 6x = 48

[tex] = > x = \frac{48}{6} [/tex]

=> x = 8(Ans)

Can someone explain? ​

Answers

Answer: The answer would be e

First find where the line intercepts on the y axis, then find the slope of the line by looking at how much the line goes up from each point. In this case, the line goes up by 2 and across by 1, so your slope will be 2/1 which is 2. (If the line went down, the slope would be -2/1 which is -2) Then you can plug in the numbers for the equation for y-intercept form y=mx+b which gives you y=2x+2

Hope this helps!

Which equation represents a proportional relationship?

Answers

Answer:

B, for every y there are 150 x's

The answer will be (B)

find the value of x ?

Answers

Answer:

Step-by-step explanation:

x = 1.5·42 = 63

please help 13 points

Answers

Answer:

.

Step-by-step explanation:

Please help

The perimeter of a quadrilateral is 336.
The ratio of the sides is 2: 3: 2: 5. Find
the side lengths.

Answers

Just trying to win the CONTEST BUT GOOOOD LUCK

Answer:

56 units, 84 units, 56 units, 140 units

Step-by-step explanation:

Since you have the ratios, you can multiply each by x, because you do not know the actual values.

2x+3x+2x+5x=336

12x=336

÷12  ÷12

x=28

Then, plug in the values of x.

So 2*28= 56

3*28=84

2*28=56

5*28=140

how many significant digits in 8.90

Answers

Answer:

2

Step-by-step explanation:

Answer:

Only 2, the 0 is not needed so it should just be 8.9

Step-by-step explanation:

the james family went to a restaurant for dinner, their bill was $58.97 . they would like to leave a 20% tip. what is the amount of the tip they would like to leave the server

Answers

58.97

move the decimal to the left by one in order to get 10%

5.897

now multiply by 2 to get 20%

$11.79

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