Given the figure below, find the values of x and z.

Given The Figure Below, Find The Values Of X And Z.

Answers

Answer 1

Answer:  z = 107; x = 5

Step-by-step explanation:

z = 107   They are vertically opposite angles, which they are equal.

z + (6x + 43) = 180

1. Plug in 107 for z.

107 + (6x + 43) = 180

2. Get rid of parentheses.

107 + 6x + 43 = 180

3. Sum up the number in the left sides.

      6x + 150 = 180

4. Subtract 150 from both sides.

                6x = 30

5. Divided 6 from both sides.

                  x = 5


Related Questions

Christie has $200 in her bank account. Every month, she deposits $20 into her account. The equation of the line that models the amount of money, y, in her account x years from now is y = x=

Answers

Answer:

The equation is y = x20 + 200

Step-by-step explanation:

Sorry if this is not what you are looking for.

John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull’s eye) is. The probability that he throws the dart into the 10-point ring is. What is the probability that he either hits a Bull’s eye or scores 10 points?.

Answers

The probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.

John is playing a game of darts. In this game of dart,

The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10. The probability that he throws the dart into the 10-point ring is 3/10.

The probability that he either hits a Bull’s eye or scores 10 points is equal to the sum of the probability he hits the bull's eye and the probability that he throws the dart into the 10-points ring.

Let, the probability that he either hits a Bull’s eye or scores 10 points is P. Thus,

[tex]P=\dfrac{1}{10}+\dfrac{3}{10}\\P=\dfrac{4}{10}\\P=\dfrac{2}{5}[/tex]

Hence, the probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

Option D is the correct answer

Step-by-step explanation:

D.[tex]\frac{2}{5}[/tex]

Marisa gets paid $50 for 5 hours of work. What is the hourly rate

Answers

Answer:  whats the question 10 dollars an hour ?63 dollars total ? ... Marisa gets paid $50 for 5 hours of work and charges an initial fee of $13.

Step-by-step explanation: i hope this help =)

Answer:

$10

Step-by-step explanation:

Marisa gets paid $10 and hour. I know this because if she gets paid $50 for 5 hours, then divide 50 by 5 to get 10.

Hope this helps! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Have a blessed day and remember to keep smiling :)

How many colors are there (estimate)

Answers

Answer:

There is very very very near 1,000,000 (shades included in those colors)

Step-by-step explanation:

Hi!there are about 18 decillion colors.So how do we know there are 18 decillion colors? First of all, scientists have determined that in the lab we can see about 1,000 levels of dark-light and about 100 levels each of red-green and yellow-blue. So that's about 10 million colors right there. And then you have to allow for other matters.

Select the correct answer. Find the solution(s) for x in the equation below. x2-9x+20=0

Answers

(x-5)(x-4)=0
Answer is X = 5,4

Find the value of f(-3) if f(x) = -3x + 7

Answers

Answer:

f(-3) = -3(-3) + 7

= 9 + 7

= 16

if 2:5=x:20 then x=?

a)50 b)2 c)1/2 d)8

Answers

Answer:

x = 8

Step-by-step explanation:

Write as fraction form

[tex]\frac{2}{5}=\frac{x}{20}[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]\frac{x}{20}=\frac{2}{5}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]\frac{x}{20}\cdot \:10=\frac{2}{5}\cdot \:10[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{x}{2}=4[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2}=4\cdot \:2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=8[/tex]

Hence, Answer is [D} x = 8

~Learn with Lenvy~

Solution:

Given:

[tex]2:5 = x:20[/tex]

We know that:

Since the LHS and the RHS are equal, they form a proportion[tex]\text{a:b} = \text{c:d} \rightarrow \text{ad} = \text{bc}[/tex]

To find x, let's multiply the extremes and put the product on one side. Then multiply the middles and put the product on the other side.

⇒ [tex]2:5 = x:20[/tex]⇒ [tex]2 \times 20= x \times 5[/tex]

Now, solve for x.

⇒ [tex]2 \times 20= x \times 5[/tex]⇒ [tex]40 = 5x[/tex]⇒ [tex]\frac{40}{5} = \frac{5x}{5}[/tex]⇒ [tex]\boxed{x = 8}[/tex]

Pease Help. Will mark Brainliest

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

The Answer will be B

Step-by-step explanation:

Whats the area?/ ty show work!

Answers

Answer:

25

Step-by-step explanation:

4 times 3 is 12

5 times 3 is 15

15 plus 12 is 25

Hello!

(4*3) + (3*5)

= 12+15

= 27

What is the answer to this figure when I solve for x?

Answers

x / 9.8 = 6.4 / 11.2

x = 6.4 / 11.2 * 9.8 = 5.6

Two congruent trapezoids are joined at the dotted line as shown in the model below.
What is the area of both trapezoids in square centimeters

Answers

Let's see.

[tex]\\ \sf\Rrightarrow Area=\dfrac{1}{2}(Sum\:of\: parallel\:sides)Height[/tex]

[tex]\\ \sf\Rrightarrow Area=\dfrac{1}{2}(6+9)(4)[/tex]

[tex]\\ \sf\Rrightarrow Area=2(14)[/tex]

[tex]\\ \sf\Rrightarrow Area=28cm^2[/tex]

Area of both=2(28)=56cm^2

Bert has already read 5 pages, and he knows he can read 11 more pages during every additional hour he spends reading. In all, how many hours of reading will Bert have to do this week in order to have read a total of 49 pages?​

Answers

Answer:

4 hours

Step-by-step explanation:

11 x 4 equals 44 plus he read 5 pages so its 49

Answer:

4 hours

Step-by-step explanation:

11 times 4 =44 and than that will be the answer

write the decimals and percents illustrated by the pictures below!


can someone pls give me the decimal and percent for this one? thanksn

Answers

Answer:

Decimal: 0.49

Percent: 49%

Step-by-step explanation:

There is 49 blocks shaded out of 100 blocks.

49/100=

0.49

49%

ASAP!! I need help. -w-Which answer choice shows 5 +0.9 + 0.06 written in standard form?
OA) 0.0596
OB) 0.596
OC) 5.96
OD) 59.6

Answers

the answer is c . 5.96

Answer:

Hey!

Your answer is 5.96!

Step-by-step explanation:

5 + 0.9 = 5.9

IF WE ADD 0.06...it makes 5.96

(the 6 is in the hundredth column so it goes AFTER the 9)

This fives us 5.96!

I HOPE THIS HELPED YOU!

Eli has a loan of $3500 This loan charges 5% interest compounded annually. what is the amount of interest that Eli will be charged on this loan at the end of four years round to the nearest cent

Answers

Answer: 700
Explanation:
3,500 x 5 over 100 = 175
175 x 4 = 700

Answer:

754.27

Step-by-step explanation:

Use coumpound interest formula A=p(1+r)^t

Convert 5% into a decimal (move decimal over to times to the left making it .05)

Plug in numbers A=3500(1+.05)^4

Then you get $4254.27

Subtract by priciple of 3500 and you get left with 754.27

what is 0.728416 rounded to the nearest tenth

Answers

0.728416 rounded to the nearest 10th is 0.7


Answer:

0.7

Step-by-step explanation:

In order to determine if the tenth place is rounded up one number or stay the same, you have to look at the hundredths place. In this scenario it's the 2.

0.728416

If the hundredths place is 5 or greater, you round up in the tenth place. If the hundredths place is 4 or less you keep the same number in the tenth place.

Prove triangle ABC is congruent to triangle CDA

Answers

Answer:

Step-by-step explanation:

which of the following is a quadratic inequality

y>x3+x2
y
y2+3x+4​

Answers

Answer:

y>x3+x2

Step-by-step explanation:

it has the greater than sign

Juan solved the problem in the example by dividing the figure into a rectangular prism and a trangular prism. show how to find the volume this way

Answers

Answer:

Huh?

Step-by-step explanation:

I don't understand

PLEASE HELP!!

Question: Select All Equations Where C=9
Is A Solution
*Choose 2 Answers*


Answers

Answer: d and e

Step-by-step explanation:

a) 4 - 9 = 5 FALSE

b) 20 = 14 + 9 FALSE

c) 15 = 9 - 6 FALSE

d) 9 divided by 3 = 3 TRUE

e) 36 = 4 x 9 TRUE

Answer is D and E

Step-by-step explanation:

Option D u will multiply each side by the LCM which is 3 and u will get the answer to be C=9

option E u will divide both side by 4 and u will get the answer to be C=9

The formula to find the volume of a sphere is V=3.14r^3 where r is the
radius of the sphere. What is the formula in terms of r?
PLEASE HELP!

Answers

divide by 3.14 on both sides first.

V/3.14 = r^3

Now cube root both sides.

3√(V/3.14) = r

r = 3√(V/3.14)

r is the cube root of v/3.14.

what is an equation of the line through (3, -1) and (2, 14)?​

Answers

Step-by-step explanation:

no explanations.I have done the whole sum

2/3 divided by 1/4? Thank you

Answers

Answer:

2.66666666667

Step-by-step explanation:

two over three divided by one over four is 2.66666666667

an equilateral triangle has two sides given as (3x-2)cm and (18+x)cm what is the perimeter​

Answers

Answer:

84 cm

Step-by-step explanation:

Equilateral triangle have sides that measure the same

so

3x-2 = 18+x

Subtract x from each side

3x-2-x =18+x-x

2x-2 = 18

Add 2 to each side

2x-2+2 = 18+2

2x= 20

Divide by 2

2x/2 = 20/2

x = 10

The side measures18+x = 18+10 = 28

The perimeter is 3 times the length of one side

3*28 = 84

At the market, Joey buys 3 avocados for $0.40 Each and 5 lemons for $0.40 each. The cashier in training rings up 3x0.40 and then 5x0.40 to get the total. The experienced cashier says to add the 3 plus 5 in his head and then ring up 8x0.40. What property says that these two totals would be the same

Answers

Answer:

Distributive property

Step-by-step explanation:

Distributive property states that,

multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

That is,

a(b + c) = ab + ac

3 avocados cost $0.40 each

3x0.40

= $1.2

5 lemons cost $0.40 each.

5x0.40

= $2

Total = $1.2 + $2

= $3.2

Using distributive property

(3+5)0.40

= 8(0.40)

= $3.2

Answer: Distributive property

Step-by-step explanation:

The Distributive property is the same as a(b + c) = ab + ac

what is the remainder of -x^3-x^2+3 / x+3

Answers

Answer:

21

Step-by-step explanation:

The remainder on dividing f(x) by (x + h) is f(- h)

Given

f(x) = - x³ - x² + 3 , then

f(- 3) = - (- 3)³ - (- 3)² + 3 = - (- 27) - (9) + 3 = 27 - 9 + 3 = 21 ← remainder

Match each set of numbers with their least common multiple.
504
288
84
44
200
108

22 and 4=
9, 8, 7=
27, 12,,36=
25 , 8=
14 ,12=
32, 24 18=

Answers

Answer:

22 and 4 = 44   9, 8, 7= 504    27, 12, 36= 108   25, 8= 200   14, 12= 84   32, 24, 18= 288

Step-by-step explanation:

Showing all necessary working out, evaluate 7/10 - 1/4

Answers

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

[tex]\frac{7}{10}-\frac{1}{4}[/tex]

Find lcm : 20

[tex]=\frac{14}{20}-\frac{5}{20}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

[tex]=\frac{14-5}{20}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:14-5=9[/tex]

[tex]=\frac{9}{20}[/tex]

~Learn with Lenvy~

What is the value of 378÷(710⋅−30)?

Answers

Answer:

0.555882

Step-by-step explanation:

How much can a computer technician earn in two
years? Assume there are no raises in that time.

Helpppppppp

Answers

Answer:

$72,920

Step-by-step explanation:

36,460 x 2 = 72,920

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