Finding angle measures using triangles

Finding Angle Measures Using Triangles

Answers

Answer 1
Because HI and JK are parallel, that makes their angles congruent. So angle K equals angle I
So the interior angles of a triangle add up to 180°
So, Angle I + angle H + angle x =180°
60°+56°+x°=180°
116°+x°=180°
X=180-116
X=64°

Related Questions

Tylers brother earns $15 per hour. The store offers him a raise--a 7% increase per hour. After the raise, how much will tylers brother make per hour?

Answers

Answer

16.65

Step-by-step explanation:

7%of 15 is 1.65 so add 1.65 and its 16.65

4)
Ben, Joe and Alex bought flowers for their girlfriends at the same store.
Ben bought 5 roses, 8 daisies, and 2 carnations for $14.50. Alex bought
3 roses, 12 daisies, and 1 carnation for $14.00. Joe bought 10 roses, 1 daisy
and 3 carnations for $17.25. How much was one rose and one carnation?
rose:
carnation:

Answers

Answer:

1 rose cost $1.5

1 carnation cost $0.5

Step-by-step explanation:

Let the price for one rose be r, price for one daisies be d and the price for one carnation be c

For Ben;

5r + 8d + 2c = 14.5

For Alex

3r + 12d + c = 14

For Joe

10r + d + 3c = 17.25

From equation iii;

d = 17.25- 10r - 3c

Insert this into the first two equations;

5r + 8(17.25-10r-3c) + 2c = 14.5

5r + 138 - 80r -24c + 2c = 14.5

-75r -22c = -123.5

Thus;

75r + 22c = 123.5

Insert the formula for d in the second equation;

3r + 12(17.25-10r-3c) + c = 14

3r + 207 - 120r -36c + c = 14

-117r-35c = 14-207

117r + 35c = 193

So we have two equations to solve simultaneously;

75r + 22c = 123.5

117r + 35c = 193

Multiply first equation by 35 and second by 22

2625r + 770c = 4322.5

2574r + 780c = 4246

Subtract second from first

51r = 76.5

r = 76.5/51

r = 1.5

Insert this in the equation below;

75r + 22c = 123.5

75(1.5) + 22c = 123.5

112.5 + 22c = 123.5

22c = 123.5-112.5

22c = 11

c = 11/22

c = 0.5

5x - 2y = 26 y + 4 = x​

Answers

There ya go hope that’s right I was kinda confused on what I was solving cuz there wasn’t rly any specifics sorryyyy

Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x-3 O A. (1,10) O B. (-2,1) C. (1.-4) D. (-2,-7)​

Answers

Answer:

The answer is B

Step-by-step explanation:

Because I calculated properly and check my answer 2 times

trust me this is the answer

pls mark me as brainliest

Answer:

B

Step-by-step explanation:

Solve for x. 3(5 + 4x) = 75

Answers

Answer:

3(5+4x) = 75

Step-by-step explanation:

Step 1: Distribute. --> 3(5+4x) = 75

                                   15 + 12x =75

Step 2: Find X. ---> 15 + 12x = 75

                               -15            -15

                                      12x = 60

Step 3: Divide.                12      12

Answer: x = 5

Answer:

X=5

Step-by-step explanation:

Please help me---------------------------

Answers

Answer:

Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.

The solution is: (1.2, -1.6)

Step-by-step explanation:

You can also test this by plugging the values of the point into both equations.

I need to know 2/7 divided by 6 =

Answers

it’s an irrational number just use a call

Answer: 1/21

[tex]\frac{2}{7}:6=\frac{2}{7}.\frac{1}{6}=\frac{2}{42}=\frac{1}{21}[/tex]

Step-by-step explanation:

whose method can be used to verify the distributive property was correctly applied expression

A. zoes method
B.latoyas method
C. christinas method
D. Rhodas method​

Answers

answer:
D: Rhodas method

At the movie theater you bought a large popcorn and a soda for $18. The cost of the popcorn
was $12. How much was the soda

Answers

Answer:

$6

Step-by-step explanation:

18-12=6

sksmskskssksksk

Answer:

$6

Step-by-step explanation:

18-12=6

Write a situation that could be represented by the algebraic expression 3a + 2.15.

Answers

Answer:

5.15

Step-by-step explanation:

5.15 = 3a + 2.15

5.15 - 2.15 = 3a

3.15 = 3a

a = 0.05

I hope this helps you :)

Tyler is conducting a science experiment. He is observing the effects of
low temperatures on bacteria. He cools one sample to -55˚C and
another to -80˚C. What is the difference between the two
temperatures?

Answers

Answer:

Your answer is -25

Step-by-step explanation:

First, you figure out what to do for the equation.

In this case we you would subtract because it says "what is the difference" which means to subtract.

So -55 subtracted by -80 = -25

Mrs. Wally cut a 21 foot long ribbon into four equal lengths. How many feet long was each length of ribbon

Answers

the answer is:

Each equal length of ribbon is 5.25 ft

Step-by-step explanation:

21 divided by 4 is 5.25

To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.

What is division ?

Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.

Given length of ribbon = 21 foot

Number of parts it has to be divided = 4.

So, to get the length of each part divide the total length by 4.

Thus, the length of each part is 21/4 = 5.25 foot.

Hence,  the length Mrs. Wally' s each ribbon is 5.25 foot.

To know more about division click on,

https://brainly.com/question/21416852

#SPJ2

Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below. 1. p(x) = 5x2 + 30x 2. p(x) = 5(x2 + 6x) 3. (six-halves) squared = 9; 4. p(x) = 5(x2 + 6x + 9) – 5(9) 5. p(x) = 5(x + 3)2 – 45 Describe Sandra’s function. What is the vertex of this function? Is it a maximum or a minimum? What is the axis of symmetry of this function?

Answers

Answer: 1st question• (-3, -45)

2nd question• x= -3

Step-by-step explanation:

just did it on edge

The vertex of the function p(x) = 30x^2 + 5x^2 is (-3,-45), and it is a minimum

The description of the function

The function is given as:

p(x) = 30x^2 + 5x^2

The description of the function is that the function is a quadratic function

The vertex

From the question, we have:

p(x) = 5(x + 3)^2 – 45

A quadratic function represented as: p(x) = a(x - h)^2 + h has the vertex (h,k)

This means that the vertex is (-3,-45), and it is a minimum because a is positive i.e. a = 5

The axis of symmetry

This is the x-coordinate of the vertex.

Hence, the axis of symmetry is x = -3

Read more about quadratic functions at:

https://brainly.com/question/18797214

Peter cuts lawns and makes $40 per lawn. He spends $10/day in work expenses. Write an equation in the form y = mx + b to represent this situation.

Answers

Answer: y= 40x-10 , where = number of lawns.

Step-by-step explanation:

In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.

[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]

Given: Peter cuts lawns and makes $40 per lawn.

let x = number of lawns

i.e. slope = $40

He spends $10/day in work expenses.

i.e.  y-intercept = -10  [for each day]

So equation becomes : y= 40x-10 , where = number of lawns.

On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
-7 + 3 = -4
-7-4 = -3
-7-3 = -10
-7+ 4 = -3

Answers

Answer:

-7+-3=-4

Step-by-step explanation:

Select the correct locations on the graph. Select the lines that represent functions.

Answers

Answer:

bruh there isnt a graph or anything we cant answer it

Step-by-step explanation:

Answer:

where is it

Step-by-step explanation:

Question 2 (1 point)
A video game has three villains who appear on screen at different intervals. One villain appears every 2 seconds, a second villain appears every
19 seconds, and a third villain appears every 10 seconds. How much time passes between the occasions when all three villains appear at the
same time?

Answers

Answer:

3 minutes tens seconds or 190 seconds

Step-by-step explanation:

Find the LCM.

Parker has $137 in one, five, and ten dollar bills. He has just as many ten dollar bills as he has five and one dollar bills together. If he has 22 bills in all, how many of each type of bill does he have?

Answers

Step-by-step explanation:

(1$) 7+ ($5) 4 + ($10) 11=22 bills

7+20+110=137$

What is the y-intercept. Describe how you know in both the table and the graph.

Answers

Answer:

(4,0)

Step-by-step explanation:

the y-intercept is 4 because when the x value is 0 the y value is 4 on both the graph and table

BB is paid straight commission at a rate of 9.35%. last week he sold $6000. How much money did he make?
A. 6900.00
B. 56100
C. 4551.00
D. 451.00

Answers

Answer

how much is like saying time the this

Step-by-step explanation:

60,000 time 9.35%= 56100

does anyone know ? thx

Answers

Answer:
4x-3
Explanation:
3x+2+x-5
4x-3

A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft. What is the perimeter of the larger rectangle?

Answers

Answer:

48 I think

Step-by-step explanation:

12+12+12+12=48

or 12 x 4=48

Answer:

48

Step-by-step explanation:

12+12+12+12 = 48

or

12x4=48

Which statement is true about perpendicular lines?

Help please!!

Answers

Answer:

The answer is that they intersect at the right angles 90°

Answer:

they intersect at right angles (90 degrees)

Step-by-step explanation:

What will be the slope of (3,-4) and (1,2)

Answers

Answer:

[tex]\boxed {m = 1}[/tex]

Step-by-step explanation:

Use the Slope Formula to determine the slope of two given points:

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

First Point: [tex](x_{1}, y_{1})[/tex]

Second Point: [tex](x_{2}, y_{2})[/tex]

-Substitute both points:

First Point: [tex](3, -4)[/tex]

Second Point: [tex](1, 2)[/tex]

[tex]m = \frac{2 + 4}{1 - 3}[/tex]

-Solve for the slope:

[tex]m = \frac{2 + 4}{1 - 3}[/tex]

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

[tex]\boxed {m = 1}[/tex]

Therefore, the slope is [tex]1[/tex].

A baseball camp is held at a complex that has 6 baseball diamonds. The coaches would like each diamond to have the same number of campers. Use divisibility rules to determine whether this is possible if 152 kids show up for the camp.

Answers

Answer:

Using divisibility rules, it is impossible to have exactly the same number of kids in each of the diamonds

Step-by-step explanation:

Here, we want to use divisibility rule to check for the possibility of 152 kids showing for the kids

Since we need exactly equal number of kids in each of the diamonds, we are going to test the possibilities that we can share 152 to have the same number of campers in each of the diamond

Mathematically 152/6 = 25.3333

Since we have a remainder for the division, it is impossible to share the campers equally in the six diamonds if 152 kids show up for the camp

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?

Answers

9514 1404 393

Answer:

379 adult tickets896 student tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...

  5a +1(1275 -a) = 2791

  4a = 1516 . . . subtract 1275 and simplify

  a = 379 . . . . . divide by 4

  1275-a = 896

379 adult and 896 student tickets were sold.

Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
2x2 + 6x = 20
A. -5
B. 20
C. -2
D. 1
E. 2
F -10

Answers

b , e , a are the correct answers

Answer:

-5 and 2

Step-by-step explanation:

17 points
Jeremy drove 18.04 miles on Monday, 18.4 miles on Tuesday, 17.68 miles
on Wednesday, and 17.86 miles on Thursday. Which shows the distances
written in order from greatest to least? *
17.68, 17,86, 18.04, 18.4
18.04, 18.4, 17.86, 17.68
17.86, 17.68, 18.4, 18.04
O 18.4, 18.04, 17.86, 17.68

Answers

Answer:

D. 18.4, 18.04, 17.86, 17.68

Step-by-step explanation:

Very Easy!

WILL GIVE BRAINLIEST!!!!! Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
A. You replaced y with 3 temporarily.
B. This is wrong because you can only substitute for x.
C. The equation becomes 3 = x – 2
D. The value of x is 5.
E. The equation y = x – 2 is still true, just with specific values.

Answers

Answer:

y=x-2

a. 3=x-2

b. this isn't wrong??

c. 3=x-2

d. add 2 to both side so taht x is on its own so 5=x

e. yes

Answer:

C and E

Step-by-step explanation:

Im not entirely sure about A, because you are substituting so technically you changed it but the equation is still true (just as E says) but with more specific values.

B is not right because you can replace either y or x

D is not right because if you switch the equation to get the value of x you would make x= -3-2 which would be -5, not 5.

Hope this helped :)

Find the rate of change of the linear function
shown in the graph, Then find the initial value.
The rate of change is

Answers

Answer:

6

Step-by-step explanation:

dfsfads

Other Questions
The cheerleaders at City High make their ownmegaphones by cutting off the small end of acone made from heavy paper. If the small end ofthe megaphone is to have a radius of 2.5 cm,what should be the height of the cone that is cutoff?2.5 cm60 cm Compare and contrast what happens to an object's motion when balanced orunbalanced forces act on that object. HELPP PLEASE ONLY 5 MINS TILL DUE DATE what does the phrase"You cant lead anyone if you cant lead yourself!"mean Combine like terms to write a simplified expression: 12p + 11 - 5p + 3 how do you keep word from trying to capitalize every isolated letter "i" Sup nerds. Do this for me or I'm gonna get screamed at by my mom also show all the work does anyone know what the answer is What is the best description of Dave and Sol-leeks, based on this excerpt?They are difficult to please.They are cheerful and energetic.They are mature and experienced.They are dedicated to their tasks. PLEASE HELP WILL MARK BRAINLIEST IF CORRECTRobyn has been working out five days a week for the past six months. She is now planning to take a month-long break from the gym. Which training principle should Robyn consider before taking this break?A. balanceB. overloadC. reversibilityD. specificity Families where one or more members are citizens and one or more members are non-citizens are called: What might happen to a cell if its cell membrane fails to function properly? # 5Write an equation in slope-interceptform to represent the line parallel to9x + 3y = 8 passing through the point(-1,-4).y = -3x - 1y = -3x - 7y = 1/3x + 1/3y = 1/3X -4 if triangle GHI is equilateral and JHK is isosceles, what is the measure of JHK will mark brainliest please help!!! hellllllpppppppppppppppppppp pplzzzzzzzzzzz If x=5 and the area of the rectangle is 30 what is the other length of the rectangle? Factor completely: 125 x cubed space plus space 343 The suffix means act of, state of, or result of.OA) -ionOB) -ableOC) -ite. Plz hurry 91 pointWhat postulate or theorem justifies the congruence statement AABE ACDE?BxSSSSASASAAAS