2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees. What is the measure of angle TRV? 20° 50° 60° 130°2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are created. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees. What is mAngleMHJ? 35° 50° 72.5° 92.5°

Answers

Answer 1

Answer:

Step-by-step explanation:

a) sum of angle on the straight line TRW is 180.

Given <TRS = 2x+10

<SRW = x-10

<TRS+<SRW = 180

2x+10+x-10 = 180

3x = 180

x = 180/3

x = 60°

<TRV = 180°-(2x+10)

Substitute x = 60° into the expression

<TRV = 180-(2(60)+10)

<TRV = 180-(120+10)

<TRV = 180-130

<TRV = 50°

2) From the diagram attached <MHJ= <LHK (oppositely directed angle)

Given

<MHJ= x+15

<LHK = 2x-20

Substitute the given data into the formula to get x

x+15= 2x-20

x-2x = -15-20

-x = -35

x = 35°

Next is to get the measure of <MHJ

<MHJ = x+15

<MHJ = 35+15

<MHJ = 50°


Related Questions

5n + 3 > 4 - (6 – 5n)

Answers

3>-2 i believe
djdjjdksksk sorry i needed more characters

Hurry this is due in a couple of minutes!!!!!

Answers

Answer:

1. 1:1500

2. 1500 times

Step-by-step explanation:

1 foot=12 in.

500*12=6000

4:6000=1:1500

Simplify this algebraic expression completely.
8y – 2(y+4)
ОА. бу – 4
ОВ. бу+2
Ос. бу+ 4
D. бу – 8

Answers

Answer:

2 (3 y - 4) <- Complete answer, but since you only have those choices it's

6 y - 8

Step-by-step explanation:

Simplify the following:

8 y - 2 (y + 4)

Hint: | Distribute -2 over y + 4.

-2 (y + 4) = -2 y - 8:

8 y + -2 y - 8

Hint: | Group like terms in 8 y - 2 y - 8.

Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:

(8 y - 2 y) - 8

Hint: | Combine like terms in 8 y - 2 y.

8 y - 2 y = 6 y:

6 y - 8

Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.

Factor 2 out of 6 y - 8:

Answer: 2 (3 y - 4)

A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and the third route is 1512 miles long. What is the total number of miles the delivery truck drives? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ miles

Answers

Answer:

[tex]Total = 38\frac{11}{12}\ miles[/tex]

Step-by-step explanation:

Given

[tex]First\ Route = 12\frac{2}{3}\ miles[/tex]

[tex]Second\ Route = 10\frac{3}{4}\ miles[/tex]

[tex]Third\ Route = 15\frac{1}{2}\ miles[/tex]

Required

Determine the total miles

[tex]Total = First\ Route + Second\ Route + Third\ Route[/tex]

[tex]Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}[/tex]

Convert to improper fractions

[tex]Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}[/tex]

Take LCM

[tex]Total = \frac{152 + 129 + 186}{12}[/tex]

[tex]Total = \frac{467}{12}[/tex]

[tex]Total = 38\frac{11}{12}\ miles[/tex]

10. (02.03)
Below are the steps to solve an equations
Step 1: IX - 4l+ 1 = 8
Step 2: IX - 4l = 8 - 1
Step 3: IX - 4l = 7
Which of the following is a correct next step to solve the equation? (1 point)
X-4 = -7
x+4=-7
x + 4 = 7
-x-4= 7

Answers

Answer:

x-4 = 7 , x-4 = -7

Step-by-step explanation:

IX - 4l+ 1 = 8

Subtract 1 from each side

IX - 4l = 8-1

IX - 4l = 7

Then separate into two equations, one positive and one negative

x-4 = 7      x-4 = -7

Which of the following explains the relationship between angles C and D

Answers

Answer:

they are a linear pair

Step-by-step explanation:

they each add up to 180º when added together

They are a linear pair and supplementary. Both angles are 90 degrees, border each other and add up to 180, so they are both linear and supplementary.

Explain the error in this student's work and make the correction
2^2 x 2^4 x 2^3 = 2^24

Answers

Answer:2^9

Step-by-step explanation:

The student multiplied the exponents instead of adding the exponents.

Hope this helps.

The person above me did it correctly!!!

I hope it helps lol!!

what is 11x11 ????????????????????

Answers

Answer:

121

Step-by-step explanation:

11 x 11

this is what goes on in my head you don't have to this but this is what i do

10 x 10 = 100

10 x 1 = 10

1 x 10 = 10

1 x 1 = 1

100 + 10 + 10 + 1 = 121

The product of the numbers 11 with 11 is 121.

Given are the numbers 11 and 11.

We have to find the product of these numbers.

This can be found in various ways.

We can study the perfect squares from 1 to 20 to know it fast.

Else you can use normal multiplication.

Or another method is,

Split both 11 as 10 and 1 and then find the product with each.

10 × 10 = 100

Then find 10 with 1.

10 × 1 = 10

Then find 1 with 10.

1 × 10 = 10

Then find 1 with 1.

1 × 1 = 1

Total is 100 + 10 + 10 + 1 = 121

Hence the number is 121.

Learn more about Multiplication here :

https://brainly.com/question/14667283

#SPJ6

The table below shows the cost per pound of different vegetables.
Prices of Vegetables
Vegetable
Cost (per pound)
Potatoes
$3.89
Squash
$4.68
Carrots
$1.67
Cucumbers
$2.59
What is the estimated cost for 7.8 pounds of potatoes?
$16
$24
$32
$40

Answers

Answer:

16

Step-by-step explanation:

i got it right on the test

Answer:

16...

hope, it helps! x

2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.

(a) What output does the rule give when the input is ?

(b) What output does the rule give when the input is ?

(c) Is the rule a function? Explain why it is or why it is not.

Answers

Complete Question:

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

[tex]x = -6[/tex]

[tex]y = 0[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x => -6 - 3[/tex]

[tex]x => -9[/tex]

[tex]y=> y + 4[/tex]

[tex]y=> 0 + 4[/tex]

[tex]y=> 4[/tex]

Hence:

The output is (-9,4)

Solving (b):

Inputs:

[tex]x = 3[/tex]

[tex]y = -4[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x=>3-3[/tex]

[tex]x = 0[/tex]

[tex]y=> y + 4[/tex]

[tex]y=>-4+4[/tex]

[tex]y=>0[/tex]

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

.A bucket is filled with 1 3/4 gallons of water. The bucket has a small hole and 1/4 gallon leaks out every hour. How many hours will it take for the bucket to be completely empty? What must you do to the mixed number in order to solve this problem?

Answers

Given :

A bucket is filled with 1 3/4 gallons of water.

The bucket has a small hole and 1/4 gallon leaks out every hour.

To Find :

How many hours will it take for the bucket to be completely empty.

Solution :

We know , mixed fraction of form a p/q is given by :

[tex]a\ p/q = \dfrac{(a\times q)+p}{q}[/tex]

So, 1 3/4 = 7/4 .

Let, after t hours bucket is empty.

[tex]\dfrac{7}{4}-\dfrac{1}{4}t = 0\\\\t = 7\ hour[/tex]

Therefore, it takes 7 hours for the bucket to be completely empty.

Hence, this is the required solution.

1. Choose the correct number to continue the pattern.
0, 5, 2, 7, 4, 9, 6,

Answers

Answer:

11

Step-by-step explanation:

Answer:

the next 3 are: 11,8,13. hope this helps!

J is the Midpoint of Segment MN. If MJ=23, Find MN.​

Answers

Answer:

46?

Step-by-step explanation:

if the temperature was 55 degrees Fahrenheit and later on it was -13 degrees Fahrenheit whats the difference??

Answers

Answer:

68

Step-by-step explanation:

It just it

Answer:

68°F

Step-by-step explanation:

55 degrees minus -13 degrees is 68, the difference is 68 degrees Farenheit.

srry I meant 68

7/3 ×3/8=
I REALLY NEED HELP ​

Answers

Answer:

0.875 or 7/8

Step-by-step explanation:

I put it in a calculator

Answer:

the answer is 7/8

Step-by-step explanation:

7/3 ×3/8 =7/8

It cost Zachary $7.00 to send 140 text messages. How many text messages did he send if he spent $0.85?

Answers

Answer:

17 messages.

Step-by-step explanation:

Divide 140 by 7 to get 20.

This means it costs 1 dollar for 20 messages.

And therefore 17 messages for 85c.

What is the vertex of y= x2 - 8x + 14 ?

Answers

Answer:

( 4 , − 2 )

Step-by-step explanation:

Part A
find the area of the given figure

Answers

Answer:

where is the figure

Step-by-step explanation:

The output of a function is 5 more than 2 times the input. Find the input when the output is 17.

Answers

Answer:

The input when the output is 17 is x=6.

Step-by-step explanation:

Functions

Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.

Knowing the output of the function is 5 more than 2 times the input, we can write the function as:

f(x)=2x+5

Now find the input x when the output is 17:

17=2x+5

Swap sides of the equation:

2x+5=17

Subtract 5:

2x=17-5=12

Divide by 2:

x=12/6=6

The input when the output is 17 is x=6.

YALLLL HELPPP
Question 2 of 10
If a country is taking action to increase its overall productivity and make sure
its businesses are successful, it is pursuing which economic goal?
A. Per capita improvement
O B. Economic growth
C. Stable prices
O D. Full employment
SUBMIT

Answers

Answer:

B.Economic growth

Step-by-step explanation:

per capita income can't be just improved by making a business successful

stable prices need a good income and that's not a point given in the question

Making business successful doesn't make all the citizens employed. so the most relevant answer is economic growth as grown business in a country provides tax and thus ensures the economic growth

7. What's the volume of a square pyramid that has a base side of 12 and a height of 16?
A. 2304
B. 1536
C. 192
D. 768

Answers

Answer:

2304

Step-by-step explanation:

You should multiply width by length by height

can somebody help me ?

Answers

I believe it is B.) 110°

HELLLPP!!!!

Which series of transformations will move the triangle in quadrant 1 onto the similar triangle in quadrant three?

Answers

Answer:

Its D if you think about it

Step-by-step explanation:in your mind move the triangle on the top right down 6 units and then turn your triangle 90 degrees counter clockwise (quick maths)

The only transformation that will move the triangle in quadrant 1 onto the similar triangle in quadrant three is;

Option D; translation 6 units down and rotation 90° counterclockwise

The y-coordinate of the right angle vertex of the triangle in quadrant 1 is y = -2. Meanwhile the y-coordinate of the same right angle point of the triangle in quadrant 3 is y = -4.

Thus, for the triangle in quadrant 1 to be on the same level with that in quadrant 3, we need to translate the triangle in quadrant 1 downwards by 6 units.

Now, since we want to map this newly translated triangle to the one in quadrant 3 and as such we need to rotate it 90° counterclockwise

Read more at; https://brainly.com/question/18308401

How many ounces are in 4 1/2 quarts

Answers

144 fluid ounces i had this it is really easy mine was just a simple look at the passage I had to read

Solve xy − 9 = k for x. I WILL MARK BRAILIEST

Answers

Answer:

x = [tex]\frac{k+9}{y}[/tex]

Step-by-step explanation:

Given

xy - 9 = k ( add 9 to both sides )

xy = k + 9 ( isolate x by dividing both sides by y )

x = [tex]\frac{k+9}{y}[/tex]

Find the equation of the line

Y=__x + __

Answers

answer: y= -3/2x + 3

explanation:

-3/2x is the slope because it’s going down 3 and right 2

3 is the y-intercept because the line across mrs at y=3
Y=-3/2+3




Pick any 2 points and do y2-y1 divided by x2-x1 and that’s how you get m and any point that touches the y axis gives you y

Some1 help with the congruence statement plz

Answers

Answer:

It would be rotation what do u mean by congruent statement? Angles? B is congruent to D A IS CONGRUENT TO e

Step-by-step explanation:

Plz HELP with a and b I WILL MARK AS A BRAINLIEST IF YOU CAN HELP ME WITH BOTH A AND B PLZZ

Answers

Answer:

a) x = 60

b) b = 110

Step-by-step explanation:

A)

2x and 120 are vertical angles.

vertical angles are equivalent.

2x = 120

divide both sides of the equation by 2

2x/2 = 120/2

x = 120/2

x = 60

B)

b + 20 and 130 are on the same side of the line

(I forgot what the math term is, but they're also equal)

b + 20 = 130

subtract 20 from both sides of the equation

b + 20 - 20 = 130 - 20

b = 130 - 20

b = 110

What is the reciprocal for
2 1/8?

Answers

Answer:

8/17

Step-by-step explanation:

Please make me the Brainliest, please and thank you.

Answer: 17/8

Im not sure of this sorry

IMMEDIATE HELP PLS TY

Answers

y=3x-4
This could be wrong!
Just remember that this is a Mx+b equation, b will always fall on the y axis. (-4)
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