If the m∠1=123° m ∠ 1 = 123 ° and m∠2= (2x+7)° m ∠ 2 = ( 2 x + 7 ) ° , determine the value of x that supports l∥m l ∥ m . Show your work to support your answer.

Answers

Answer 1

Answer:

25

Step-by-step explanation:

Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;

<1 + <2= 180

123+2x+7 = 180

130+2x = 180

2x = 180 - 130

2x = 50

x = 50/2

x = 25

Hence the value of x is 25


Related Questions

what is the vertex of this quadratic

Answers

Answer: (-3,2)

Step-by-step explanation:

-3 in the x-axis

2 in the y - axis

PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT

Answers

Answer:

the second one

Step-by-step explanation:

plss help me!!

Find the length of the arc.

Answers

Answer:

[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)

Step-by-step explanation:

GIVEN :-

Angle subtended by the arc at center (θ) = 90°Radius of the circle = 5 ft.

TO FIND :-

Length of the arc

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.

[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]

SOLUTION :-

Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]

Oliver paid $21 for 6 t-shirts. Each shirt was the same price. What was the cost of 1 t-shirt?

Answers

Hope this helps

Answer: one t shirt cost $3.5

$21 divided by 6 = 3.5

Answer:

The cost of one t-shirt is $3.50

explanation :

21 ÷ 6

= 3.5

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Answers

Answer:

Interesting... go on.

Step-by-step explanation:

The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at random to survey. Let DDD be the number of customers they survey who have dogs.What type of variable is DDD

Answers

Answer:

D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

65% of the customers have dogs:

This means that [tex]p = 0.65[/tex]

15 customers:

This means that [tex]n = 15[/tex]

What type of variable is D?

D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]

Answer:

binomial

Step-by-step explanation:

Find the value of x.

Answers

Answer:

Okay so

Directions: find the value of x?

122 + 68 divided by 2

x = 95 degrees

Step-by-step explanation:

Find the arc length of the semicircle​

Answers

Answer:

Arc length of the semicircle is 12.57 cm.

Step-by-step explanation:

From the given picture,

Measure of diameter = 8 units

Radius of the semicircle = [tex]\frac{\text{Diameter}}{2}[/tex]

                                        = [tex]\frac{8}{2}[/tex]

                                        = 4 units

Since, circumference of a semicircle is given by the expression,

C = πr

Here, r = radius of the semicircle

Circumference of the given semicircle = π(4)

                                                                = 4π

                                                                = 12.57 cm

Therefore, arc length of the semicircle is 12.57 cm.

Answer:

Its 16 pi

Step-by-step explanation:

Evaluate 5−1−90. Write your answer as a fraction in simplest form.

Answers

Answer:

-86/1

Step-by-step explanation:

subtract and convert

Nicole received a $15.00 gift card for a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
What is the remaining balance on the card if Nicole bought 50 prints?

Answers

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

In the diagram below of triangle UVW, X is a midpoint of UV and Y is a
midpoint of VW. If mZXYV = 7x + 21, and mZUWY = 91 – 7x,
what is the measure of ZXY?
V
X
Y
U
W

Answers

Given:

In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle UWY=91-7x[/tex]

To find:

The measure of angle XYV.

Solution:

Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.

If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.

[tex]\angle XYV \cong \angle UWY[/tex]         [Corresponding angle]

[tex]m\angle XYV=m\angle UWY[/tex]

[tex]7x+21=91-7x[/tex]

We need to solve this equation for x.

[tex]7x+7x=91-21[/tex]

[tex]14x=70[/tex]

[tex]x=\dfrac{70}{14}[/tex]

[tex]x=5[/tex]

Now,

[tex]m\angle XYV=7x+21[/tex]

[tex]m\angle XYV=7(5)+21[/tex]

[tex]m\angle XYV=35+21[/tex]

[tex]m\angle XYV=56[/tex]

Therefore, the measure of angle XYV is 56 degrees.

(GIVING BRAINLIEST). Daria earns $17.50 per customer when she gives haircuts. If she gave x haircuts on Monday and y haircuts on Tuesday, which expression
shows the amount of money she earned? A) 17.50/x+y B) 17.50 (x+y) C) 17.50x+y. D)17.50xy

Answers

Answer:

B. 17.50(x + y)

Step-by-step explanation:

So lets find the equation for monday:

It would be 17.50 times x

or:

17.50(x)

For Tuesday:

17.50 times y

17.50(y)

17.50(x) + 17.50 (y) = 17.50(x+y)

Or B.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

pls help ill mark brainliest!:) thank you<3

Answers

Answer:

(-26, 32)

Step-by-step explanation:

1. **Which of the foll byowing is equivalent to y4 x y^8?
A. y32
B. y4
C. 2y 12
d. y12

Answers

Answer:

SOLUTION

[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]

Beacause of the property of exponent = [tex]a ^{b} \times {a}^{c} = a ^{b + c} [/tex]

what is the circumfrence in centimeters of the circle with a diameter of 24 cm ? use 3.14 as pii

Answers

Answer:

75.36 cm

Step-by-step explanation:

C=(3.14)24

If I where to spend between $100 and $150 on groceries every week, what type of expense would groceries be? (Just double checking)

Answers

The answer to this question is 12$

What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.

Answers

Answer:

5/8 ft²

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 5/3 ft

Height = 3/4 ft

Area of a triangle = 1/2 * base * height

= 1/2 * 5/3 ft * 3/4 ft

Multiply numerator separately and denominator separately

= (1 * 5 * 3) / (2 * 3 * 4) ft²

= 15/24 ft²

= 5/8 ft²

Area of a triangle = 5/8 ft²

Solve for x.
2x + 4
4x - 88
x = [?]

Answers

Solve for x.
2x + 4= 8
4x - 88 = -352
x = [?]

Note: Angles not necessarily drawn to scale​

Answers

Answer:

for finding x

x+133=180(being linear pair)

x=180-133

x=47 degree

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

→ Work out APD

133°

→ Find the sum of APC and DPB

360 - ( 133 + 133 ) = 94

→ Divide the answer by 2

94 ÷ 2 = 47°

Please help! I need to show my work also! -2x^3+x^9

Answers

Answer:

2(23)+29

2(23)+29

=528

Step-by-step explanation:

A tub is filled with 18000 cm3 of water. It loses one-tenth of its water every 12 hours. What volume of water would be remaining in the tub at the end of 5 days

Answers

Answer:

0 cm³

Step-by-step explanation:

the lost of water =

(5×24)/12 x 1/10 × 18000

= 10/10 × 18000 = 18,000 cm³

so, the remaining water in the tub=

18,000 - 18,000 = 0 cm³

(the tub is empty)

The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the

Answers

Answer:

The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the y-value.

Solve mixture problems. George wishes to increase the percent of acid in 50m / of a 15% acid solution in water to 25% acid, how much pure acid must you add?

Answers

Answer:

x = amount of pure acid to be added = 6.67ml

Step-by-step explanation:

George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you add?

let

x = amount of pure acid to be added

15% of 50 + x = 25% of 50 + x

(0.15 * 50) + x = 0.25(50 + x)

7.5 + x = 12.5 + 0.25x

Collect like terms

x - 0.25x = 12.5 - 7.5

0.75x = 5

x = 5/0.75

x = 6.6666666666666

Approximately,

x = 6.67

x = amount of pure acid to be added = 6.67ml

help i need i the answer asp pls​

Answers

Answer:

E and F

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{m+n}[/tex] , then

[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = [tex]5^{4+x}[/tex]  → F

or

[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = 625 × [tex]5^{x}[/tex] → E

Pls help due in a few min

Answers

Answer:

3 and 5 show how to convert 18 inches into yards

Answer:

Numer 3 and number 5.

What is the value of x?

Answers

Answer:

5cm

Step-by-step explanation:

c^2=a^2+b^2

b^2=square root c^2-b^2

=square root 13^2-12^2= 5


Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.

Answers

The area of square four is a² + b² + 2ab

How to calculate the area of square and triangle

The area of a square = l²

The Area so the two square = a² + b²

Area of the  triangles = 4(0.5ab) = 2ab

Add the area together

Area of the square four = area of square + area of 4 triangles

Area of the square four = a² + b² + 2ab

Hence the area of the square four is a² + b² + 2ab

Learn more on area of square here: https://brainly.com/question/13389992

Application:
Sharone took 2-hours to complete her science
project. She took 140 minutes to complete her math
homework. Which assignment did she spend more
time completing? How many more minutes did she
take?​

Answers

2 hours = 120 minutes
120 minutes =science
140 minutes = math

She spent more time on math homework

140-120=20

She took 20 more minutes on her math homework than her science homework.

What is the value of x for the parallelogram year shown?

Answers

Answer:

Step-by-step explanation:

A+B+C+D=360 degree(sum of all sides of a parallelogram)

60+4x+60+4x=360

120+8x=360

8x=360-120

x=240/8

x=30

The Pearson product-moment correlation coefficient Group of answer choices is called the Pearson c. is used when both variables have ordinal or nominal scale properties. provides information about the strength of a relationship. does not indicate the direction of a relationship.

Answers

Answer:

provides information about the strength of a relationship

Step-by-step explanation:

A numerical measure of strength in the linear relationship between any two variables is called the Pearson's product moment correlation coefficient.

The co efficient of correlation is a pure number denoted by r , independent of the units in which the variables are measured that can range from+1 to -1 .

The sign of r indicates the direction of the cor relation.

When r= 0 it does not mean that there is no relationship . For example if the observed values lie exactly on a circle , there is a relationship between variables but r = 0  as r only measure linear cor relation.

The 2nd statement given is the correct answer.

It is not related to ordinal or nominal properties and it does show direction.

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