Given the figure below, find the values of x and z.
(7x + 61)
(15x – 35)
Х
Z

Answers

Answer 1

Answer: Z and 96 are vertical angles so they equal each other. The other angle makes a straight line with the 96 degree angle so subtract from 180 to find the measure of that angle is 84. Set the expression equal to 84 and solve.

Step-by-step explanation:


Related Questions

Please help i need to complete this by tomorrow

Answers

Answer:

ED: 6.5 cm BE = 14.4 cm

Step-by-step explanation:

Add 20 and 5 to get side AC.

25/20 gives us the scale factor to go from 25 triangle ABE to triangle ACD.

Multiply 26 by the SF to get AD.

Subtract length of AD by AE to get ED. You should get 6.5 cm (don't forget units!!!!)

To go from triangle ACD to triangle ABE, we can do 20/25 to get the scale factor.

Using that number, multiply it with 18 to get BE.

The answer should be 14.4 cm.

This is possible because the two triangles ACD and ABE are similar via the angle angle angle similarity theorem depicted in my screenshot.

Answer:

ED = 6.5 cm , BE = 14.4 cm

Step-by-step explanation:

Δ ABE and Δ ACD are similar ( by the AA postulate ) then the ratios of corresponding sides are in proportion, that is

(a)

[tex]\frac{AD}{AE}[/tex] = [tex]\frac{AC}{AB}[/tex] ( substitute values )

[tex]\frac{AD}{26}[/tex] = [tex]\frac{25}{20}[/tex] ( cross- multiply )

20 AD = 650 ( divide both sides by 20 )

AD = 32.5

Then

ED = AD - AE = 32.5 - 26 = 6.5 cm

(b)

[tex]\frac{BE}{CD}[/tex] = [tex]\frac{AB}{AC}[/tex] ( substitute values )

[tex]\frac{BE}{18}[/tex] = [tex]\frac{20}{25}[/tex] ( cross- multiply )

25 BE = 360 ( divide both sides by 25 )

BE = 14.4 cm

First, rewrite 3/4 and 7/9 so that they have a common denominator.

Answers

Answer:

3/36 and 7/36

Step-by-step explanation:

The new fractions with common denominator are 27/36 and 28/36

What are fractions?

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, rewrite 3/4 and 7/9 so that they have a common denominator.

To make their denominator common, multiply, the first fraction by 9 and second denominator by 4,

Then,

3×9/4×9 = 27/36

7×4/9×4 = 28/36

Hence, the new fractions with common denominator are 27/36 and 28/36

Learn more about fractions, click;

https://brainly.com/question/10354322

#SPJ2

Help me please help

Answers

Answer:

165°

..

..

..

..

..

..

.............

Need help
I will give brainliest

Answers

Answer:

4c=12

Step-by-step explanation:

In the chart, it shows 12 and 4 c. Since they equal the same thing, the equation is 4c=12.

What is an equation of the line that passes through the points (0, -5) and
(-5,-1)?

Answers

Answer:

we find first slope

m=(-5+1)/(0+5)

m=-4/5

y-y1=m(x-x1)

y+ 5=(-4/5)(x-0)

5y+25=-4x

so equation is. 4x+5y+25=0

Answer:

y=[tex]-\frac{4}{5}[/tex]x-5

Step-by-step explanation:

The coordinates (0,-5) tells us the y intercept of the line, which is -5.

To find the equation of the line, we  have to use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex] to find the slope of the line. Plug in the values of the other coordinates (-5,-1) into the equation, which would then leave you with :

m=[tex]\frac{(-1)-(-5)}{(-5)-0}[/tex]

we then solve for m(the slope) and we get:

m=[tex]-\frac{4}{5}[/tex]

so the equation of the line is y=[tex]-\frac{4}{5}[/tex]x-5

What is the relationship between corresponding sequences 2 1 4 2 6 3 8 4 10 5 (GIVING BRAINLIEST)

Answers

Answer: to find the answer you need to

Step-by-step explanation:

Create a table with headings n and an where n denotes the set of consecutive positive integers, and an represents the term corresponding to the positive integers. You may pick only the first five terms of the sequence. For example, tabulate the series 5, 10, 15, 20, 25, . . .

Solve the first common difference of a. Consider the solution as a tree diagram. There are two conditions for this step. This process applies only to sequences whose nature are either linear or quadratic.Condition 1: If the first common difference is a constant, use the linear equation ax + b = 0 in finding the general term of the sequence.

And yeah

Evaluate y = 3x, when x = -4.
A
y = -12
y = 1/81
y = -81

Answers

Answer:

y = -12

Step-by-step explanation:

Plug the value of x (-4) into the original equation and solve:

y = 3(-4)

y = -12

the answer to ur question is -12

Pls help me
AND

PLS FOLLOW THE RULES

TROLL FOR POINTS= REPORT

FIRST AND CORRECT ANSWER= BRAINLIEST

( NO LINKS ) at all

Answers

Answer:

20 miles :)

Step-by-step explanation:

Pythagorean theorem formula: 16^2 + 12^2 = c^2

256 + 144 = c^2

400

[tex]\sqrt{400}[/tex] = 20

C = 20

Have an amazing day!!

Please rate and mark brainliest!!

which type of transformation maps triangle GFH onto triangle G'F'H'

translation
reflection
rotation
dilation

Answers

Answer:

ROTATION IS THE CORRECT ANSWER!

Step-by-step explanation:

Cuz

Answer:

rotation is correct! :))

Step-by-step explanation:

bc when i clicked rotation, the answer was valid and correct.

{56, 63, 70, 77,..., 126} the best set builder notation

Answers

Answer:

7

Step-by-step explanation:

63-56 = 7

Write the prime factorization of 126.

Answers

Answer is attached

Which grade you in btw?

How to determine if a series converges or diverges.

Answers

You determine it by moving on me number to the other and simplelfying

anu borrows 12,500 as 12% per annum for 3 years at simple interest find the simple interest she has to pay at the end of 3 years​

Answers

Answer:

The interest is 4,500

Step-by-step explanation:

We use the simple interest formula,

I = Prt

where

I = interest

P = principal amount = 12,500

r = interest rate = 12% = 0.12

t = time = 3 years

I = Prt

I = 12,500 × 0.12 × 3

I = 4,500

Bashir and his friend are renting I 2 bedroom, 2 bathroom property together. The monthly rent is
4
$1,150.00 and monthly utilities will average $485.00. Bashir will pay 4/5 of the rent since his bedroom is
larger, but they will split the cost of utilities equally. Determine what amount Bashir will pay each
month for rent and utilities

$242.50

$920.00

$817.50

$1,162.50

Answers

Answer:

d. $1162.50

Step-by-step explanation:

485 ÷ 2 = 242.50

1150 = 5/5 (100%)

÷ 5

230 = 1/5 (20%)

× 4

920 = 4/5

920 + 242.5 = $1162.50

Answer is D

$1,150/5=$230

$230*4=$920 which is 4/5 of the rent

$485/2=$242.50 which is half of the utility bill




$920+$242.50= $1,162.50 which is what Bashir will pay in total

If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?

Answers

Answer:

1.5

Step-by-step explanation:

9 times 4 = 36

1.5 times 4 = 6

If x = 9 when y = 36 and x is directly proportional to y, then x will be 1.5, when y = 6.

What is directly proportional?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

We know that

36 / 9 = 6 /x

Cross multiply;

36 · x = 9 · 6

Simplify;

36x = 54

Divide each side by 36;

36x ÷ 36 = 54 ÷ 36

Simplify;

x = 1.5

Learn more about directly inversely proportional;

https://brainly.com/question/13082482

#SPJ2

(100 points, Need help with this ASAP) I bought a used grain silo. I am going to use it as a groom's room at our venue. I am going to paint the inside of it to brighten it up a little. I need to decide how many cans of paint to buy. The silo is 15' across and 10' tall to the top of the cylindrical part. The top of the silo looks like a funnel. It is also 15' across. It is 4' tall. The ceiling is the funnel top. A can of paint covers approximately 400 sq ft. How many cans of paint will I need to buy?

Answers

Answer:

2 cans of paint

Step-by-step explanation:

Surface area of an open cylinder = [tex]2\pi rh[/tex]

(where r is the radius and h is the height)

⇒ SA = 2 × [tex]\pi[/tex] × (15 ÷ 2) × 10 = 150[tex]\pi[/tex] ft²

Surface area of an open cone = [tex]\pi r\sqrt{h^2+r^2}[/tex]

(where r is the radius and h is the height)

⇒ SA = [tex]\pi[/tex] × (15 ÷ 2) × √(4² + 7.5²) = 63.75[tex]\pi[/tex] ft²

Total surface area = 150[tex]\pi[/tex] + 63.75[tex]\pi[/tex] = 213.75[tex]\pi[/tex] = 671.52 ft² (nearest hundredth)

If one can of paint covers approx. 400 ft² then 2 cans of paint needed to cover 671.52 ft²

Can someone help me please

Answers

Answer:

theres four lines of symmetry goes up, side, and both diagonal ways

Step-by-step explanation:

Adam and 3 riends go on holiday together for a week .The costs of the holiday will be shared equally between 4 friends .These are the cost: £1460 for 4 return plane tickets £720 for the accomidation £180 for the car hire for a week . How does adam have to pay for his share of the cost

Answers

Answer:

Adam's share is £590

Step-by-step explanation:

Given

Return Ticket = £1460

Accommodation = £720

Car Hire = £180

Required

Determine Adam's share

First, we need to determine the total cost.

Total = Return Ticket + Accommodation + Car Hire

Total = £1460 + £720 + £180

Total = £2360

Next, is to determine the average.

[tex]Average = Total/4[/tex]

[tex]Average = 2360/4[/tex]

[tex]Average = 590[/tex]

Hence;

Adam's share is £590

If you place these marbles in a bag close your eyes and choose a marble what is the probability that it will be blue?

Answers

Answer:

6/14

Step-by-step explanation:

There are 14 marbles in total.

Out of the 14 marbles, 6 are blue.

Which of the following best describes the slope of the line below?
A. Zero
B. Undefined
C. Positive
D. Negative

Answers

Answer:

Undefined

Step-by-step explanation:

It is undefined because the x value equals multiple y values so the slope is undefined :)

Have a great day!!

Please rate and mark brainliest!!

Answer: Choice B

Undefined

Reason:

Vertical lines always have undefined slopes.

This is because slope = rise/run, but run = 0 for vertical lines. The "run" describes how much the line moves to the right, but such a thing doesn't happen since it's stuck on one x value only.

So we could have something like slope = rise/run = 1/0 = undefined. Dividing over zero is not allowed.

6. Leveled Practice Resting heart rate is a measure of how
fast the heart beats when a person is not performing
physical activity. The graph shows the number
of heartbeats over time for a given person.
a. Use two sets of coordinates to write an equation
to describe the relationship.
280 -
II
m is
-2
y=
Х

Answers

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

m = (280 - 140)/ (4 - 2) = 70

The equation of the line from the graph.

y = 70x

The heart's resting heart rate is 70 beats per minute.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates are from the given graph.

(1, 70), (2, 140), (3, 210), and (4, 280)

Now,

m = (280 - 140)/ (4 - 2) = 140/2 = 70

The equation from the graph can be written as,

y = mx + c

(1, 70) = (x, y)

70 = 70 x 1 + c

c = 70 - 70

c = 0

So,

The equation of the line from the graph.

y = 70x

1 minute = 70 heartbeats.

The heart's resting heart rate is 70 beats per minute.

Thus,

m = (280 - 140)/ (4 - 2) = 140/2 = 70

The equation of the line from the graph.

y = 70x

The heart's resting heart rate is 70 beats per minute.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

2^4. 2^5-(2^2)^2
Simplify the expression

Answers

Answer:

Today: Monday, 12 October 2020

Hour: 17.31 WIB (in Indonesian)

_________________________

2⁴ × 2⁵ - (2²)²

= 2⁹ - 2⁴

= 512 - 16

= 496

How many millimetres are there in 7.4 centimetres?

Answers

there are 74 millimeters

Answer:

74

Step-by-step explanaction

Formula=multiply the length value by 10

When a number n is decreased by 12 and then the result is multiplied by 3, the product is equal to 21 . Write an equation and solve it to find the value of n .
The equation is , The value is .

Answers

Answer:

Step-by-step explanation:

19-12=7x3=21

i do not what the answer for this Luca is mountain climbing with Tommy and has just climbed a 16-meter vertical rock face. Tommy is standing at the bottom of the cliff, looking up at Luca. If Tommy is 20 meters away from Luca, how far away from the cliff is Tommy standing?

Answers

Answer:

Plug in a = x, b = 16, c = 20

Step-by-step explanation:

Two angles are complementary angles, if ∠A measures 38 ° , What is the measurement of the other angle?

Answers

Answer:

52°

Step-by-step explanation:

complementary angles sum to 90° , then the measure of the other angle is

90° - 38° = 52°

After an increase of 25%, there were 800 students in Hockessin Middle School. How many students were at the middle school before the increase?? ( please answer!! )

Answers

Answer: 640 students
Step by Step Explanation:

If there was an increase of 25% that means it was 100% earlier. 100+25 = 125%
800=125%
To get from 125 to 100 divide by 1.25
800/1.25=640
640=100%
640 students
literally just doing this so i can graduate lol

A remote-control airplane is descending at a rate of 24.91 meters per second. What will be its change in height after 3 1/2 seconds? Round your answer to the nearest meter.

Answers

Answer:-87

Step-by-step explanation

-24.91 times 3 1/2 equals -87

The change in height after 3 and 1/2 seconds will be 87 meter.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that remote-control airplane is descending at a rate of 24.91 meters per second.

We need to multiply the rate and height will be;

-24.91 x 7/2 = -87 m

Hence, the change in height after 3 and 1/2 seconds will be 87 meter.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many nautical miles west will the ship have traveled by 6:00 PM

Answers

Answer:

Approximately [tex]58.2\; \text{nautical miles}[/tex] (assuming that the bearing is [tex]{\rm S$29^{\circ}$W}[/tex].)

Step-by-step explanation:

Let [tex]v[/tex] denote the speed of the ship, and let [tex]t[/tex] denote the duration of the trip. The magnitude of the displacement of this ship would be [tex]v\, t[/tex].

Refer to the diagram attached. The direction [tex]{\rm S$29^{\circ}$W}[/tex] means [tex]29^{\circ}[/tex] west of south. Thus, start with the south direction and turn towards west (clockwise) by [tex]29^{\circ}[/tex] to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of [tex]v\, t[/tex]. The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly [tex]29^{\circ}[/tex].

Since the hypotenuse is of length [tex]v\, t[/tex], the dashed line segment opposite to the [tex]\theta = 29^{\circ}[/tex] vertex would have a length of:

[tex]\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}[/tex].

Substitute in [tex]\begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned}[/tex] and [tex]t = 6\; \text{hour}[/tex]:

[tex]\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}[/tex].

PLEASE HELP ME FRIENDS ​

Answers

Answer:

x=10

Step-by-step explanation:

Since the two given expressions are alternate interior angles ( as a result of the parallel line, which are indicated by the arrows on the two lines going through the middle line, the transversal) you can set them equal to each other.

5x-10 = 3x+10

add 10 on both sides

5x = 3x + 20

subtract 3x on both sides

2x=20

divide by 2 on both sides

x=10

Answer:

10=x

40 degrees for both

Step-by-step explanation:

3x+10=5x-10

3x+20=5x

20=2x

10=x

3(10)+10=40

5(10)-10=40

Other Questions
a;most done i know im asking a lot of qeastions Are there any reasons why Smith's model of capitalism might not be a successful argumentin favor of the free-market system? Explain. Does the toast really always fall buttered-side down? Fill the gaps with the correct preposition Find the value of xxx in the isosceles triangle shown below. Steven is 5 years older than Lilith. Charlemaine is 3 years younger than twice Stevens age. Write a polynomial that represents the sum of their ages in standard form. True or False: The United States did not repeal the Chinese Exclusion Act until 1943.O TrueFalse explain what is happening in the moss, the fern, the pine and the angiosperm What is a line with five consecutive iambs called? PLEASE HELPPP!:( ill mark brainlest to whoever is right! At a recent sports clinic, there were 110 women and 90 men in attendance. Of thetotal attendance, what percentage were women and what percentage were men?a Womenb. Men Which group of American troops defeated the Apache leader victorio The US Census reported that it takes workers an average of 28 minutes to get home from work with standard deviation 5 minutes. A random sample of 10 workers in a large metropolitan area showed an average time to get home from work to be 32 minutes. Is this evidence that workers in the large city take longer than 28 minutes to get home from work. How do the words pageantry, awake, and tingling relate to the painting? they emphasize the paintings small depiction of icarus drowning. They describe the vibrant landscape depicted in the painting. They suggest that the farmer and shepherd are unware of icarus. They reinforce the idea that icaruss wings melted in the sun in addition to exporting and importing goods and services, other forms of exchange take place among nations. Provide at least two examples. PLEASEEEWhich of the following effects was a direct result of domesticating animals? A. The food supply was reduced. B. Disease was spread. C. The land was damaged. D. Animal sacrifices increased. BRAINLEST!!! Work out 1/2 + 2/9 + 1/6 25 points! Will mark brainlest if option is avaliable The table shows the favourite colour of 400 poColourFrequency | Angle inRed100Blue100Green150Yellow50 The expeditions to the New World were all successful. PLS HELP ME WILL MARK THE BRAINLIESTWhat is a source of the current Arab-Israeli conflict? A) Iraqs takeover of Kuwait V) Al-Qaedas terrorist attacks on the United States C) The emigration of persecuted Jews into Palestine D) The decline of the Ottoman Empire