Angels ABC and DEF are supplementary angles. The measure of angle ABC, in degrees, is given by the expression 2x + 10. The measure of angle DEF, in degrees, is given by the expression 3x - 15. What is the value of x?

Answers

Answer 1

Answer:

x = 31°

Step-by-step explanation:

Recall ;

Supplemtary angles summ up to 180°

Given that :

ABC and DEF are Supplementary angles and hence sum up to 180°

ABC + DEF = 180°

(2x + 10) + (3x + 15) = 180

2x + 10 + 3x + 15 = 180

2x + 3x + 10 + 15 = 180°

5x + 25° = 180°

5x = 180 - 25

5x = 155

x = 155 / 5

x = 31°


Related Questions

Move the center of the circle to a different location, and record the required values in the table. Check the boxes for the area of the circle and the area of the sector after you move the center. Round the values to two decimal places.

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Answer: answer in the image

Step-by-step explanation:

Answer:

Step-by-step explanation:

Does the point (3, 3) satisfy the equation y = x?
yes
no

Answers

Answer:

Yes.

Step-by-step explanation:

The x and y values are the same. The equation states that x and y have the same value.

[tex]y=x\\\\(3,3)\\\\y = 3; x=3\\\\\boxed{3=3}\\\\\text{The given statement is true.}[/tex]

The point (3, 3) satisfies the equation y = x.

Hope this helps.

1/5 x (6 x 4) answer now....

Answers

Answer:

the answer will be...

4.8!!!

Step-by-step explanation:

1/5 x (6 x 4) =

1/5 x 24 = 4.8

or.....

0.2 x 24 =

4.8

A dice is a perfect cube. The length of the side of the dice is 1 cm. The density of a dice is 2 g/cm.
What is the volume of the dice?

Answers

Answer: I handdbbdhddhdndnndnddnndjdjdjdjdjdjdjdjdjdjdjdjdjdjdjd

Step-by-step explanation:

DeWayne stands on a rock that is (+10) feet compared to the surface of the water, as shown with the X below. What is the distance from where DeWayne is standing to (–10) feet below the surface of the water?

Answers

Answer:

Step-by-step explanation:

I do t k ow the answer

Write the mixed number as a percent.

Answers

Answer:

185%

Step-by-step explanation:

Answer: 185%

Explanation: As you can see, the number has a whole number and a fraction. The whole number represents 100%. So, 100% + 17/20 would be your answer.

You must turn 17/20 into a percent.

17/20 = 85%

Add your percentages- 100% + 85% = 185%

Please help if you know the answer please

Answers

Answer:

1 3/7 or 10/7

Step-by-step explanation:

2 is also known as 14/7. 14/7 - 4/7 is equal to 10/7 or 1 3/7.

multiplication and division with powers of ten

Answers

The answer to your question is 20 .

Ashley's bill from Red Lobster was $14.95. She
left a 15% tip, what was the total amount she
paid out?

Answers

Answer:

14.89

Step-by-step explanation:

What is the volume, in cubic feet, of a rectangular prism with a height of 5 feet, aho
width of 20 feet, and a length of 5 feet?

Answers

Answer:

500 cubic feet

Step-by-step explanation:

5 * 20 * 5 = 500 cubic feet

Side YQ and side XP are altitudes to the congruent sides of isosceles triangle WXY. Keisha is going to prove side YQ ≅ side XP by showing they are congruent parts of the congruent triangles QXY and PYX.

Answers

By the triangle congruence we can use the SSA method to prove the base angles are congruent.

What do you mean by congruent triangles?

If two or more triangles are congruent, it depends on how big their sides and angles are. The three sides and three angles of a triangle determine its size and shape, accordingly. Two triangles are said to be congruent if the pairings of respective sides and corresponding angles are equal.

These are exactly the same size and shape. There are several different congruence conditions that triangles might meet.

In the figure given,

It is necessary to demonstrate the congruence of the triangles PYX and QXY.

Both triangles have the same XY base.

PX must equal QY because the lines PX and QY are perpendicular on congruent sides.

Angles PYX and QXY are equal since the axiom "Angles opposed to equal sides are equal" states that they are.

As a result, it can be shown that the two triangles PYX and QXY have two sides and an equal angle.

As a result, using SSA criteria, the two triangles will be congruent.

Hence, option C is the best one.

To know more about congruent triangles, visit:

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A graphic designer creates a logo in the shape of an ellipse. The equation
+
64
= 1, with units in centimeters,
14.44
represents the outer edge of the logo. How tall is the logo?

Answers

Answer:

b

Step-by-step explanation:

The height of logo is 7.6 cm.

What is ellipse?

An ellipse is a closed curve, the intersection of a right circular cone and a plane that is not parallel to the base, the axis, or an element of the cone.

Given:

x²/64 + y²/14.44=1

We know

x²/a² + y²/b² =1

On comparing

a²=64

and, b²=14.44

Also, a=8 and b= 3.8

So, length of logo will be = 2h

=2* 3.8

=7.6 cm

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CAN SOMEONE HELP ME WITH & QUESTIONS

Answers

Answer:

its a verticle angle

Step-by-step explanation:

(05.01)
Compare the table and equation.
ху
1 3
26
3 9
Equation: y = 4x
Which representation has the greatest slope?
The equation has the greatest slope.
O The table has the greatest slope.
O The table and equation have the same slope.
O Their slopes cannot be determined.

Answers

The equation has the greatest slope because the slope for the table is 3. Y increases by 3 while x is increasing by 1. y/x=3/1=3. y=4x>y=3x

let me know if you have any questions!

How many degrees is angle LMO? The angles are supplementary

Answers

Answer:

180 degrees

Step-by-step explanation:

HURRRY! ILL GIVE BRAINLEST Mrs. Jordan surveyed all of her students to find out which testing format they prefer. Of the 120 students, 30 prefer ALEKS.com, 60 prefer paper, 10 prefer Deltamath.com and 20 prefer Microsoft Forms.
What is the relative frequency of students who prefer taking their test online?
answers: 17%

25%

8%

50%

Answers

Answer:

50%

Step-by-step explanation:

30+10=40

40+20=60

120-60=60

60 is 50% of 120

Answer 50%

The online types of tests are Aleks.com, deltamath.com, and Microsoft forms. These votes totaled 60 (30+10+20=60). There were 120 total student responses.

60/120=0.5

0.5*100%=50%

Part A. Write the equation 5=10x−5y in slope-intercept form.

Part B. Identify the y-intercept.

Answers

Answer:

Part A: y=2x-1

Part B: -1

PART A:

slope intercept form is y=mx + b

5=10x-5y subtract 10 both sides
-10x+5=-5y divide -5 both sides
2x-1=y

slope intercept form is y=2x-1

PART B:

In slope intercept form (y=mx+b), the y intercept is always ‘b’ therefore using the new equation the y intercept= -1




answer please i need to get a atleast 67

Answers

Answer:

1 5/9 or 14/9

Step-by-step explanation:

Look at the diagram below of rectangle ABCD.
B
R
D
C
Based upon the Pythagorean Theorem, select all of the following statements that must be true.
O AC = VCD + AD2
O AC
CD2 ADP
U AC ✓ CD + AB
O AC = AB + BC2

Answers

The 1st and the 4th answers are correct have a nice day:)

what is 9÷10 what is the answer​

Answers

Answer:

the answer is 1.20 because i don't know this

Step-by-step explanation:

The answer should be 0.9

Frankie gave her nail technician a $4.80 tip. The tip was 16% of the cost of the manicure. Write an expression to find b, the cost of the manicure.​

Answers

Answer:

sheeshhhhhhhhhhhhhhhhh

Answer:

$30

Step-by-step explanation:

b=4.80×100/16

b=30

Use the distributive property to expand (simplify): 4(x + 7)​

Answers

this is the simplest form 4x+28

Answer:

4x+28

Step-by-step explanation:

Hi there! :)

The Distributive property is here to help us simplify!

Let's remember what this useful property states.

It states that

a(b+c)=ab+ac

Now, let's use this property to simplify the given expression:

4(x+7)

4x+28

Hope it helps!

Enjoy your day!

[tex]\bf{-Misty ~Sparkles-[/tex]

A cylinder can has a radius of 5.5 and a height of 8cm what is the capacity of the can

Answers

Answer:

242pi or about 760.266cm

Step-by-step explanation:

V=pi5.5^2 times 8

V=30.25pi times 8

V=242pi

V is about 760.266cm

Answer:

242pi or  760.266cm

Step-by-step explanation:

pleaseee helppppp !!

Answers

Answer:

1. -9xy

2. 6ab

3.-8mn

4. 17nx

Step-by-step explanation:

helpppppp i don’t know

Answers

Answer:

Step-by-step explanation:

180 = 2x + 10 +3x

170 = 5x

34 = x

m∠B = 3(34) = 102°

Answer this please...........

Answers

okay lets begin with the first part of it which is tan

sinx=p/h -----> some people have  

cosx=b/h ----> curly brown hair  

tanx=p/b -----> through proper brushing

an easy way to remember the ratios ^

we have sin and cos so we can say that the h=41 b= 40 and p is 9

so tan will be [tex]tanA=\frac{9}{40}[/tex]

now csc sec and cot are reciprocals of sin cos and tan

so sinA is 9/41 cscA will be 41/9

cosA is 40/41 secA will be 41/40

tanA is 40/9 cotA will be 40/0

2x + y = 1 in slope-intercept form. :) also how is your day going so far?

Answers

Answer:

y=-2x+1

Step-by-step explanation:

2x+y=1

y=-2x+1

nnd my day has been pr good :)

Answer:

y=-2x+1

Step-by-step explanation:

I hope this helps. I'm doing great.

Maggie is buying party favors for her birthday party. She has $5.00 to spend. She can buy pencils for $0.50 each, rubber balls for $1.00 each, and yo-yos for $1.50 each. How many different combinations of these party favors can she buy with $5.00?
26pt

Answers

Answer:

she can get 3 pencils 2 ruber balls and 1 yo yo

Step-by-step explanation:

Write the equation of a line that passes through the point (-4,5) and has a slope of 3

Answers

answer: y=3x+7
explanation: slope intercept form
y-y1=m(x-x1)
y-5=3(x+4)
y-5=3x+12
y=3x+7

Find the volume of the sphere
I NEED HELP!!!

Answers

904.78 I believe
Explanation
To find the volume here is the formula
(4/3 x pie x radius cubed)
Since they give you the diameter then just half it (6)
(4/3 x pie x 216)
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