The sum of the measures of angles xand y is 120°. The measure of the angle x is 12 less than the measure of the angle y. Find x and y.​

Answers

Answer 1

Answer:
x = 54°
y = 66°

Step-by-step explanation:

x + y = 120° (given)
x = y - 12
Then, y + y - 12 = 120°
(y + y) - 12 = 120°
2y - 12 = 120°
2y = 120 + 12 = 132°
y = 132/2 = 66°
x = y - 12 = 66 - 12 = 54°
There you go :)


Related Questions

The teacher told her students that her age is "8 more than a, times 2." Write an expression to show the teacher's age.

Answers

Answer:

16 + 2a

Step-by-step explanation:

Since "a" is the missing variable, we need to set up an equation to express this.It says, "8 more than a" which means we add 8 to a.So far we have 8 + a = ?It says "times 2" so we multiply the expression "8 + a" by 2.Now we have 2(8 + a)We can reduce this by using distributive property.16 + 2a

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Find the co-interior angle measurements for the measured angle.
?

Answers

Answer:

86°

Step-by-step explanation:

As we know that when a transversal intersects two parallel line , then the sum of co-interior angles is 180° . Hence here one of the two co-interior angles is 94° and we are are interested in finding the second one . So , let the unknown angle be x , then ;

[tex]\implies \rm x + 94^\circ = 180^\circ [/tex]

Subtract 94° from both sides,

[tex]\implies \rm x = 180^\circ -94^\circ[/tex]

Simplify,

[tex]\implies \rm \underline{\underline{x = 86^\circ}}[/tex]

Hence the required answer is 86°

hope it's helpful to you

Design five new Olympic events related to math. Explain how participants would complete in each event and how gold, silver, and bronze medal-winners would be decided.
(about math)

Answers

Answer:

I don't know

Step-by-step explanation:

Sorry cause i have no answer too

does anyone know why we cant type p.l.z without it saying inaproprate? we used to be able to

Answers

Answer:

No but Brainly is stu.pid for that lol

Step-by-step explanation:

PLEASE HELP!! A triangle has a height of 3 meters and an area of 9 square meters. Is there a unique triangle represented by these measurements?

Answers

Answer:

No

Step-by-step explanation:

Since the height is 3, the base much is equal to 6 because when you use the triangle area formula you get (3*6)/2 which is = 9. This also doesn't contain any uniqueness in a triangle.

Find the height of a cone with a diameter of 12 m whose volume id 1130 m cubed. use 3.14 for pi and round your answer to the nearest meter

Answers

Answer:4m

Step-by-step explanation:

Answer:

30 M

Step-by-step explanation:  Quiz.

Please answer thankssss

Answers

[tex]\frac{7.5*10^{12} }{2.5*10^{4} } =\frac{7.5}{2.5} *\frac{10^{12} }{10^{4} } = 3 * 10^{12 - 4} = 3*10^8[/tex]

Hope that helps!

Answer: Choice C

[tex]3 \times 10^8[/tex]

=================================================

Explanation:

Divide 7.5 over 2.5 to get 3

Dividing the other terms means we subtract the exponents using this rule

[tex]\frac{a^b}{a^c} = a^{b-c}[/tex]

So,

[tex]\frac{10^{12}}{10^4} = 10^{12-4} = 10^8[/tex]

Overall,

[tex]\frac{7.5 \times 10^{12}}{2.5 \times 10^4} = 3 \times 10^8[/tex] which points to choice C

If you wanted to expand this out, then 3.0 becomes 300,000,000 = 300 million after moving the decimal point 8 spots to the right.

The volume of a rectangular prism is 125 cm³
. If the width of the prism is multiplied by a scale factor of 2, what is the volume of the new prism?
PLEASE HELP

Answers

Answer:

HE HE HE HA HE HE HE HAHEHEHEHEHEHEHHE

i need help whats 100 plus 20

Answers

Answer: 120

Step-by-step explanation:

100 + 20 = 120. that's it

alocate the following componnets of a family budget bellow through tha use of pie graph
[tex] \sqrt[421 + ( + 5.842 {518. \frac{35. \sqrt[33..2 \sqrt{6.2.10.5 \div 9564538 - 432} ]{?} }{?} }^{?} ]{?} [/tex]95 to the 7th degree
[tex] {283}^{2} [/tex]


Answers

Answer: 1.21882851 × 1012 rad

Step-by-step explanation: 1.21882851 × 1012 rad

solve the equation: -5x+2=67 *


x=13

x= -13

x= 69/5

x= -69/5

Answers

Answer:

x = -13

Step-by-step explanation:

-5x + 2 = 67

*Minus 2 from both sides

-5x = 67

*divide by -5 on both sides

x = -13

A shipping crate in the shape of a cube with edge lengths of 9 inches. Find the surface area of the box

Answers

9 x 9 = 81
81 x 6 = 486

someone please answer this, ill give you brainliest and your getting 100 points.

Answers

Answer:

Vertex: (7,-6)

Axis of symmetry: x = 7

Step-by-step explanation:

Hello!

Vertex:

When given an absolute value equation, any number that is being added or subtracted to x in the absolute value brackets is the change in x

If a number is being added, the graph moves that many units to the left of the origin.

If a number is being subtracted, the graph moves that many units to the right of the origin.

Here, we have a subtraction of 7, so our x-coordinate becomes positive 7 (7 units to the right of the origin).

When a change is being added or subtracted outside of the absolute value brackets, it's the change in y. There is no reversing of the movement, so if there is a negative change, the vertex moves down, and if there is a positive change, the vertex move sup.

Our y-coordinate is -6 because we are subtracting 6.

Our vertex is at (7,6)

Axis of Symmetry

The axis of symmetry in an absolute value function is the x-value of the vertex.

Since the axis of symmetry is a vertical line, our x-value should be 7, so ultimately our axis is x = 7

-Chetan K

What is the value of y?

Answers

Answer:

38°

Step-by-step explanation:

All triangles have a total degree of 180°.

The degrees added together would be 180°.

-------------------------------------------------------------------------------------------------------------

2y - 4 + 43 + 2y - 11 = 180°

4y + 28° = 180°

4y = 180° - 28°

4y = 152°

y = 38°

can someone please help me with the his question!!!!

Answers

Answer:

-6x - 13 = 10

Step-by-step explanation:

To solve this question, you just have to simplify the values

3(x - 3) - (9x + 4) = 10

3x - 9 - 9x - 4 = 10

-6x - 13 = 10

If you have any questions, let me know in the comments. If you could mark this answer as the brainliest, I would greatly appreciate it! :D

[tex]\huge\mathbb{✏Answer:}[/tex]

the answer is at the pic please mark my answer as brainliest please

help please. What is the measure of angle A ?

Answers

Answer:

Identify the smaller acute angle associated with the reflex angle. A reflex angle has more than 180 degrees but fewer than 360.

Draw a vertical line connecting the rays of the acute angle. ...

Measure the rise and the run of the acute angle. ...

Divide rise by run to find the slope of the acute angle. ...

Step-by-step explanation:

-The dimensions of a rectangular garden were 2 m by 4 m. Each dimension was
Increased by the same amount. The garden then had an area of 48 m2. Find the
dimensions of the new garden. (Hint: let x be the amount of increase.)

Answers

Answer: 4 m

Step-by-step explanation:

Let the amount each dimension was increased by be x.

Now we can set up a equation.

(2+x)(4+x) = 48

8 + 2x + 4x + x^2 = 48

x^2 + 6x - 40 = 0.

We can factor the left side of the equation.

(x+10)(x-4) = 0.

Therefore, x equals either -10 or 4. Since you can't increase a dimension by a negative amount, x must equal to 4.

Answer:The new garden is 7m by 8m.

Step-by-step explanation:The dimensions of a rectangular garden were 4 m by 5 m. Each dimension was increased by the same amount. The garden then had an area of 56 m^2. Find the dimensions of the new garden.

Your welcome, mind pressing the golden crown down below it would help me out alot . and if u have any other questions or homework that u need to be answered u can message me

Solve the equation using the quadratic formula. 262 – 3b+85=-5

Answers

Answer:

b= 352/3

or b= 117.33

Step-by-step explanation:

262-3x+85=-5

-3x+(262+85)=-5

simplify the arithmetic

-3x+347=-5

Group all constants on the right side of the equation

-3x+347=-5

Subtract  from both sides:

-3x+347-347=-5-347

Simplify the arithmetic:

-3x=-5-347

-3x=-352

isolate the x

-3x=-352

Divide both sides by -3

-3x/-3}=-352/-3}

Cancel out the negatives

3x/3}=-352/-3

Simplify the fraction

x= -352/-3

Cancel out the negatives

x=352/3

Write an equation for the line in​ slope-intercept form.

Answers

Answer:

y= -2x +3

Step-by-step explanation:

What is the slope-intercept form?

• It is when the equation of a line is written as y= mx +c, where m is the gradient (or slope) and c is the y- intercept.

How can we find the equation of a line?

• Two things are needed in order to find the equation of a line, namely

GradientA pair of coordinates (or a point in which the line passes through)

Do note that in the case where the gradient of the line is not stated in the question, it can be obtained using the gradient formula as long as you have two pairs of coordinates. In the formula shown below, (x₁, y₁) is the first pair of coordinates while (x₂, y₂) is the second pair of coordinates.

[tex]\boxed{gradient=\frac{y_1 -y_2}{x_1 -x_2} }[/tex]

Working to question:

Firstly, let's work out the gradient of the line! In order to do so, we need to identify 2 pairs of coordinates so that we can plug them into the gradient formula.

2 points identified: (0, 3) and (1, 1)

Using the gradient formula,

gradient

[tex]=\frac{3-1}{0-1}[/tex]

[tex]=\frac{2}{-1}[/tex]

= -2

Substitute the value of the gradient into the equation:

y= -2x +c

c is the y-intercept, which is the y-value in which the line cuts through the y-axis (i.e. occurs at x= 0). Since we have already identified the y-intercept, (0, 3), as one of our points, we can substitute the y-coordinate value into c.

y= -2x +3

In the case where the y-intercept cannot be identified from the graph, you can substitute a pair of coordinates in which the line passes through into the equation after the value of m has been substituted. After solving for c, substitute its value back into the equation and you will arrive at your answer.

y= -2x +c

When x= 1, y= 1,

1= -2(1) +c

1= -2 +c

c= 1 +2

c= 3

Thus, the equation of the line is y= -2x +3.

Donna's car indicates that she is averaging 29.8 miles per gallon of gasoline. The GPS shows that she is 208.6 miles from her destination. How many gallons of gasoline will she use to get to her destination if she maintains the same speed?

Answers

Answer:

30.6

Step-by-step explanation:

First you will Subtract 208.6 to 29.8 gallons then you'll get your answer but your still need to divide the numbers you got when you subtracted to the miles from her destination then there's your answer

Complete the table for the given rule.
Rule: y=x-5

Answers

Answer:

Add the table for answer.

Step-by-step explanation:

Which of the following is a rational number?

√15
√16
√21
√22

Answers

Answer:

It would be the square root of 16

Step-by-step explanation:

Hope this helps... LOL

Answer:

B √16

Step-by-step explanation:

A triangle has side lengths of 7, 8 and 12. Classify the type of triangle.

Answers

Answer:

scalene

Step-by-step explanation:

It is scalene because none of the sides are equal.

Hope this helps!

If not I'm sorry.

How do we calculate using the column method
[tex] 274561 + 367238[/tex]

Answers

Answer:

641799

Step-by-step explanation:

274561

+367238

641799

Which relationships describe angles 1 and 2?

Answers

Answer:

angles one and two are supplementary angles and adjacent angles

Step-by-step explanation:

Definitions:

Supplementary angles: two angles that add to 180 deg

Adjacent angles: two angles that have a common side and a common vertex (corner point)  and don't overlap

complementary angles: two angles that add up to 90 deg

vertical angles: two angles that are directly opposite from each other, formed by intersecting lines

Complete the following statements.


Provided that line AB and line CD are parallel, DNM and BME are congruent because they are .


Answers

Answer:

Step-by-step explanation:

because interior angles are equal with parallel lines

Compare Select <,> or =.
10 qt ? 43​

Answers

Answer:

<

Step-by-step explanation:

< because 10 is lower than 43

Also, can you please tell me 43 what quantity? like qt, or ml?

My gratitude attitude - THANKS!

What is the mean of the data set: {24, 31, 12, 38, 12, 15 }
A) 12
B) 22
C) 24
D) 23.5

Answers

Answer:

22

Step-by-step explanation:

mean = sum of all data/n.o of data

= 24+31+12+38+12+15/6

= 22

A right triangle has side lengths 9, 40, and 41 as shown below.
Use these lengths to find cosX, sinX, and tan X.

Answers

Answer:

cos(X) = 40/41, sin(X) = 9/41, tan(X) = 9/40

Step-by-step explanation:

Know the acronym SOHCAHTOA: Sine is the Opposite side divided by the Hypotenuse, Cosine is the Adjacent side divided by the Hypotenuse, and Tangent is the Opposite side divided by the Adjacent side.

please answer quick!

Answers

A.

All the sides match
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