Answer:Step-by-step explanation:3x - 70 = x2x = 70x = 353(35) - 70105 - 70 = 35m<ABC = 35answer is C

Mathematics High School

Find m2ABC.
(3x - 70)

Answers

Answer 1

Answer:

Step-by-step explanation:

3x - 70 = x

2x = 70

x = 35

3(35) - 70

105 - 70 = 35

m<ABC = 35

answer is C

Answer 2

The value of the angle ∠ABC = 35°

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the angle be ∠ABC = ( 3x - 70 )°

Now , from the figure ,

The value of angle ∠A = x°

The value of x° is equal to ( 3x - 70 )° because they are corresponding angles

Now , from the theorem of angles cut by transversal , we get

The pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are called corresponding angles and are equal in size

Each pair of corresponding angles on the same side of the intersecting transversal are equal to each other

So ,

Substituting the values in the equation , we get

x° is equal to ( 3x - 70 )°

x° = ( 3x - 70 )°

x = 3x - 70

Adding 70 on both sides of the equation , we get

3x = x + 70

Subtracting x on both sides of the equation , we get

2x = 70

Divide by 2 on both sides of the equation , we get

x = 35°

So , the value of ∠ABC = ( 3x - 70 )°

∠ABC = ( 3x - 70 )°

∠ABC = ( 135 - 70 )°

∠ABC = 35°

Hence , The value of the angle ∠ABC = 35°

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Related Questions

algebra 1, i don’t understand step 2

Answers

do u have the books name ?

Major went to the Appalachian Fair. The entrance fee was $10, and he purchased 25 tickets. Write an equation to find the price of each ticket if he spent a total of $47.50. You do NOT have to solve it.

Answers

Answer:

25x+10=47.50

Step-by-step explanation:

x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.

A farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market

Answers

Step-by-step explanation:

farmer has 140 bushels of corn for sale at a farmers market. He sells an average of 15 1/8 bushels each day. After 6 days, what is the change in the total number of bushels the farmer had for sale at the farmers market

Evaluate the expression: -7(3t - 8) + 5, when t = -6

Answers

Answer:

147 maybe?

Step-by-step explanation:

PLEASE HELP...question says “Sylvia bought four pens for one dollar each and five folders for three dollars each. Write a numerical expression to represent this situation and then find the total cost in dollars”

What the hell im so confused

Answers

Answer:

y= 4(x) + 3(5x)

$19

Step-by-step explanation:

Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car
from Great Cars for S40 plus $0.03 per mile. How many miles must they both drive for
their rental fees to be the same?

Answers

Answer:

750 miles

Step-by-step explanation:

Ronald

Rental fee = fixed cost + variable cost

= $25 + $0.05x

Where x = number of miles

Dixon

Rental fee = fixed cost + variable cost

= $40 + $0.03x

How many miles must they both drive for their rental fees to be the same?

Equate the two equations

$25 + $0.05x = $40 + $0.03x

Collect like terms

0.05x - 0.03x = 40 - 25

0.02x = 15

Divide both sides by 0.02

x = 15 / 0.02

= 750 miles

80%
as in a decimal 80%

Answers

Answer:

0.8

Step-by-step explanation:

"percent" means "per 100" which is the same as "divide by 100."

To change a percent to a decimal, divide the percent by 100.

80% = 80/100 = 0.8

help
i need H - G answered

Answers

Answer:

See below.

Step-by-step explanation:

f = 3x + 31

c = 12x - 1

3x + 31 + 12x - 1 = 180

15x + 30 = 180

15x = 150

x = 10

same-side interior, supplementary

b = x - 10

g = 4x + 60

x - 10 + 4x + 60 = 180

5x + 50 = 180

5x = 130

x = 26

same-side exterior, supplementary

d = 2x + 13

e = 7x + 5

2x + 13 + 7x + 5 = 180

9x + 18 = 180

9x = 162

x = 18

same-side interior, supplementary

a = 10x - 30

e = 8x + 20

10x - 30 = 8x + 20

2x = 50

x = 25

corresponding, congruent

b = x + 30

h = 5x - 14

5x - 14 = x + 30

4x = 44

x = 11

alternate exterior, congruent

Given the diagram below, what is the length of segment ef

Answers

It’s 3.5, I added 4.8 and 2.2 and then divided by 2 to find the average since the line is directly in the middle. Hope this helps :)

1
A line segment has the endpoints (-7,-4) and (9,8). What are the coordinates of the
midpoint of this line segment?

Answers

the midpoint is (1,2)

-2/5 + 1/2 please help guys I really need it

Answers

Answer:the answer is 1/10

Step-by-step explanation:

The perimeter of a rectangle is 150. The length of the rectangle is 9 more than the width. Find the width.

Answers

Answer:

Step-by-step explanation:

Length = Width + 9

Perimeter = Length + Length + Width + Width

Perimeter = Width + 9 + Width + 9 + Width + Width = 150

4(Width) + 18 = 150

Subtract 18 from both sides:

4(Width) + 18 - 18 = 150 - 18

4(Width) = 132

Divide 4 on both sides:

[tex]\frac{4(Width)}{4} =\frac{132}{4}[/tex]

Width = 33

is it ever possible that |x| = -x and can you explain please

Answers

Answer:

Step-by-step explanation:

The reason is that the absolute value of x is always not going to equal a negative.

|-1| = 1 (correct)

|-1| = -1 (incorrect)

Answer:

Never.

Step-by-step explanation:

Whenever there is an absolute value is a variable or number and it's negative or positive, the answer will always be positive ex., |-x| = x |x| = x

If I want to buy a pair of sunglasses and the original price is $120, how much will I pay if they are 50% off? What if they were 25% off?

Answers

Answer:

$60, $90

Step-by-step explanation:

Amount paid when 50% off

=$ 120 - 50/100 * 120 = $ 120 - $60 = $60

Amount paid when 25% off

=$ 120 - 25/100 * 120 = $ 120 - $30 = $90

Need help please. Please help me.

Answers

Answer:

Exact Form:

2/45

Decimal Form:

0.04 (4 being repeated)

Please help solve this and show work 4(x+1)-9=11

Answers

Answer:

x = 4

Step-by-step explanation:

Given

4(x + 1) - 9 = 11 ( add 9 to both sides )

4(x + 1) = 20 ( divide both sides by 4 )

x + 1 = 5 ( subtract 1 from both sides )

x = 4

Answer:

Step-by-step explanation:

4x + 4-9=11

4x -5 =11

4x -5+5 =11+5

4x =16

4x divide by 4 is equal to 16 divide by 4

x is equal to 4

Which is the value of 3b² — b when b = 5?

Answers

Answer:

The answer is

Step-by-step explanation:

3b² - b

when b = 5

Substitute the value of b that's 5 into the expression

That's

3(5)² - 5

= 3(25) - 5

= 75 - 5

We have the final answer as

Hope this helps you

f(x)=2x 2 +9x {Find }f(10) Find f(10)

Answers

Answer:Answer:

d=√

−2x2+y

900f4i2n2x

or d=−√

−2x2+y

900f4i2n

Step-by-step explanation:

Let's solve for d.

y=2x2+9xfindf(10)findf(10)

Step 1: Flip the equation.

900d2f4i2n2x+2x2=y

Step 2: Add -2x^2 to both sides.

900d2f4i2n2x+2x2+−2x2=y+−2x2

900d2f4i2n2x=−2x2+y

Step 3: Divide both sides by 900f^4i^2n^2x.

900d2f4i2n2x

900f4i2n2x

−2x2+y

900f4i2n2x

d2=

−2x2+y

900f4i2n2x

Step 4: Take square root.

d=√

−2x2+y

900f4i2n2x

or d=−√

−2x2+y

900f4i2n2x

Answer:

d=√

−2x2+y

900f4i2n2x

or d=−√

−2x2+y

900f4i2n

The value of f(10) for function f(x) = 2x² + 9x is 290.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given function is,

f(x) = 2x² + 9x (1)

To find the value of f(10),

Substitute x = 10,

f(10) = 2(10)² + 9(10)

f(10) = 2 x 100 + 90

f(10) = 200 + 90

f(10) = 290

The required value of f (10) is 290.

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A. -3
B. 6
C. 5
D. -4

Answers

Answer:

Step-by-step explanation:

So we want to find the value of x.

Note that the entire segment (JK) is the sum of the segments JI and IK. In other words:

[tex]JK=JI+IK[/tex]

We know that JK is (2x-1), JI is (2), and IK is (x+3). Substitute:

[tex]2x-1=(2)+(x+3)[/tex]

On the right, add:

[tex]2x-1=x+5[/tex]

Add 1 to both sides:

[tex]2x=x+6[/tex]

Subtract x from both sides. The right cancels:

[tex]x=6[/tex]

And the value of x is 6.

Our answer is B.

What is 15% of $79.99?

Answers

Answer:

11.9985

Step-by-step explanation:

79.99 x .15 = 11.9985

Answer:

Final price: $67.99
Discount: $12.00

Explanation:

Discount = Original Price x Discount %/100
Discount = 79.99 × 15/100
Discount = 79.99 x 0.15
You save = $12.00

Final Price = Original Price - Discount
Final Price = 79.99 - 11.9985
Final Price = $67.99

A car is traveling down a highway at a constant speed, described by the equation LaTeX: d=65td=65t, where represents the distance, in miles, that the car travels at this speed in t hours. How many miles does the car travel in 1.5 hour?

Answers

Answer: The car travels 97.5 miles in 1.5 hour.

Step-by-step explanation:

Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation [tex]d=65t[/tex], where represents the distance, in miles, that the car travels at this speed in t hours.

To find : Number of miles car travel in 1.5 hour.

Simply put t= 1.5 in the given expression , we get

65(1.5)= 97.5

That means , the car travels 97.5 miles in 1.5 hour.

The area of a square is given by the expression s • s square inches. Where s is the length of a side in inches. Write the expression as a power. Then find the are of square of a with a side length of 7 inches.

Answers

Answer:

see explanation

Step-by-step explanation:

A = s × s = s²

Given s = 7 , then

A = 7² = 49 in²

A square has an area of 9 cm what is it's side length

Answers

Answer:

A=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

itttttttttttttt isssssssssss =3

6.
What is the total height of the tree?
a) 48 1/4 ft.
b) 47 4/6 ft.
c) 46 1/4 ft.
d) 47 1/4 ft.
15 1/2 ft.
32 3/4 ft
Is the answer ‘c’?

Answers

Answer: I do think the answer is C

Step-by-step explanation: I agree with your choice.

Maybe I mean there’s no real evidence it is tho

4 + 3 x 7 − 1 = 42 put brackets

Answers

Answer:

Step-by-step explanation:

(4 +3) ×(7-1) =

7 ×6 =

42 hope that helps :)

Math I’m giving brainlist and 20 points

Answers

Answer:

What work are you referring to

Michael loves to run. It takes him 25.3 minutes to complete a 10 mile run. At this rate, how long would it take him to run 16 miles?

Answers

Answer:

0.632

Step-by-step explanation:

divide 16 ÷ 25.3 rurhrhr rhrhrhdh dhejejej ejehejeje behe

I’m struggling a bit on this question. I could use some help please. Number 12

Answers

Answer:

(-3, -2)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Mako's goal is to save $42. He currently has $2 and
plans to save $18 per week. Let x represent the
number of weeks Mako saves money.

Answers

Answer:

5 weeks its 40 divided by 8

Step-by-step explanation:

13.
Given: MZD=57" and mZF = 64°
F
H
E
What is the measurement of ZG?
I really would appreciate it if you could help, plz

Answers

Answer:

Step-by-step explanation:

the inside of a triangle is 180° so add 57+64 which brings u to 121 and then take 180-121 to get the answer of 59

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Find m2ABC. (3x - 70)

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Find m2ABC.
(3x - 70)