Mathematics College

find the values of X and Y so that the quadrilateral shown is a parallelogram

Answers

Answer 1

Answer:

[tex]x =13[/tex]

[tex]y = 24[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Find x and y

To solve for x, we use:

[tex]2x +30 = 5x - 9[/tex] --- corresponding angles

Collect like terms

[tex]5x - 2x = 30 +9[/tex]

[tex]3x = 39[/tex]

Solve for x

[tex]x = \frac{39}{3}[/tex]

[tex]x =13[/tex]

To solve for y, we use:

[tex]\frac{1}{2}y = y - 12[/tex] --- opposite angles at diagonal

Collect like terms

[tex]\frac{1}{2}y - y =- 12[/tex]

[tex]-\frac{1}{2}y =- 12[/tex]

Divide both sides by -1/2

[tex]y = 24[/tex]

Related Questions

Bernard earns a 37% commission
for all the sales he makes in a month.
Last month his total sales were
$12,500.00. How much was his
commission last month?

A. $125.00
B. $1250.00
C. $375.00
D. $3750.00

Answers

125,000 because of it that the moon was a little more than it

A flowerpot has a circular base with a diameter of 27 centimeters. Find the circumference of the base of the flowerpot. Round to the nearest tenth.

How would you go about solving this?

Answers

The circumference of the base of the flowerpot is 84.8cm

What is circumference of a circle?

Circumference of a circle can be described as the length or distance of a circle.

The formular that can be used to calculate the circumference of a circle is

= 2πr

Radius= diameter/2

= 27/2

= 13.5

The circumference can be calculated as follows

= 2πr

= 2 × 3.142 × 13.5

= 84.83

≅ 84.8 (to the nearest tenth)

Hence the circumference of the base of the flower pot is 84.8 cm

Answers

Answer:

Step-by-step explanation:

Question 8 of 11
Identify the slope and y-intercept of the function y= 3x - 6.
A. The slope is 3
The y-intercept is (0, -6).
B. The slope is 6.
The y-intercept is (0,3).
C. The slope is 3.
The y-intercept is (0,6).
D. The slope is 6.
The y-intercept is (0, -3).
SUBMIT

Answers

Answer:

Step-by-step explanation:

The term being multiplied by x is the simplified slope. The number being subtracted/added to it is the y-intercept.

y=3x-6

/\ /\

| |

slope |

y-intercept

---

hope it helps

Can someone help me? It would mean the world if u helped me have a nice day! <3

Answers

500*4=2000
2000*7 weeks=14,000

500 ml water 4 times a day = 500x4= 2000 ml water per day

there are 7 days in a week so,

2000 x 7 = 14000 ml

1000mililitre = 1 litre

14000ml = 14 L per week

Help is needed please???

Answers

The function representing the graph is 5m+40

Pls help me ASAP pls

Answers

Answer:

[tex]y = \sqrt[5]{50} [/tex]

Step-by-step explanation:

[tex]25 + 25 = {y}^{5} [/tex]

[tex] {y}^{5} = 25 + 25[/tex]

[tex] {y}^{5} = 50[/tex]

Take the 5th root of both sides of the equation to eliminate the exponent on the left side.

[tex]y = \sqrt[5]{50} [/tex]

Hope it is helpful.....

neddddd helpp plzzz really asap

Answers

Answer:

2(x+3)

hope it helps.

stay safe healthy and happy.

Answer:

2*x3

Step-by-step explanation:

* mean's tims

What is the supplement of 12

Answers

168 degrees is the supplement of 12.

168 degrees is da answer

ILL MARK BRAINLIEST

there are 1864 students in a school. each student pledges to read 12 books in a year. How many books will be read in all, if each student reads 12 books?

Answers

Answer:

22,368

Step-by-step explanation:

1864 x 12 = 22,368

You spin the spinner and flip a coin. Find the probability of the compound event.
1 2 3 4
The probability of spinning a 3 and flipping heads is

Answers

Answer:

12.5%

Step-by-step explanation:

(1/4)*(1/2) = 1/8

1/8 = 12.5 %

25% (that’s the answer it wouldn’t let me send without 20 characters)

May someone help me with these questions?

Answers

Answer:

7. -158

8.-87

9. 807

10.128

11.9

Answer:

Step-by-step explanation:

solve log2+log16/15+12log25/24+7log8
[tex] log_{10}2+ log_{10} \frac{16}{15} + 12 log_{10} \frac{25}{24} + 7 log_{10} \frac{81}{80 = 1[/tex]
1/80=1

Answers

Answer:

the answer is -non existent

Step-by-step explanation:

there is no answer to this problem

What is the circumference of a circle with a radius of 20 units

Answers

Answer:

125.66

Step-by-step explanation:

C = 2πr = 2·π·20 = 125.66371

Rewrite the equation below so that it does not have fractions. 4/9x-2=5/6

Answers

Answer:

0.44x-2=0.83

Step-by-step explanation:

Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description? Circles A, B, and C overlap. Circles A and B overlap. Circle C is to the side. Circles A, B, and C are shown. They do not overlap. Circles A and C overlap, and circles C and B overlap.

Answers

Answer:

correct its d

Step-by-step explanation:

A jockey will ride horses in 10 different races at a race track today. The number of races that the jockey will win is what type of random variable

Answers

Answer:

X is a discrete Random variable where X is the number of races Jockey can win.

Step-by-step explanation:

To find - A jockey will ride horses in 10 different races at a race track today.

The number of races that the jockey will win is what type of random variable ?

Proof -

Given that,

A jockey will ride horses in 10 different races at a race track today.

Let us assume that,

X is the number of races Jockey can win

So,

X can take value 0, 1, 2, 3, ......10

As,

It can take countable finite values

So,

X is a discrete Random variable

∴ we get

X is a discrete Random variable where X is the number of races Jockey can win.

please help me with this question

Answers

Answer:

Step-by-step explanation:

15 should be the answer because they are the same size therfore the same length my peep

~Ella

List 3 values that would make this inequality true. 10≥2n
10
0
5
8
6
7
2

Answers

Answer:

0, 2, 5

Step-by-step explanation:

10 ≥ 2n

Divide both sides by 2

5 ≥ n

Flip

n ≤ 5

Values less than or equal to 5

0, 2, 5

Ryan has 36 coins totaling to $2.10. The coins are made up of all dimes and nickels. How many of each coin does he have?

Answers

oopspsppppppppppppppppppppppppppppppppppppppppp pp torture is bad

What is the measure angle of 3

PLEASE HELP WORTH 10 points

Answers

it would be 180 degrees

Answer:

Step-by-step explanation:

the third angle = 90 -61 = 29

hope that helps

Sally has 2 pets in her house. The weight of her dog is 50 pounds and the weight of her cat is 12 pounds. By how much is the weight of the dog more than the weight of the cat?

A. 38 lb.
B. 30 lb.
C. 28 lb.
D. 20 lb.

Answers

Answer:

the answer is A. 38lb.

i hope this helps :)

Step-by-step explanation:

A. 38 lbs.
50-12= 38 pounds

April has 5 milligrams of zinc and 0.25 milligrams of copper.
How much more zinc does she have than copper?

Answers

Answer:

It's 4.75

Step-by-step explanation:

If you subtract 5-.25=? The answer would be 4.75. Hope this helps.

3 equals 243. Explain how to use that fact to quickly evaluate 36

Answers

Ndjdjdndjdjsksojabq 6375

A local department store sells carpet in 4 sizes. Each carpet comes in 3 different qualities. One of the sizes comes in 5 colors. The other sizes come in 2 colors. How many choices of carpet are there

Answers

Answer:

23.

Step-by-step explanation:

You would multiply the 4 sizes of carpet by the 3 qualities, which equals 12. Then, you add 5+2+2+2. So it would end up being 12+11.

PLEASE QUICK I GIVE BRAINLIEST
How many elementary students are in this random sample? Use a numerical value as your answer.

Answers

Answer:

30 elementary students

Step-by-step explanation:

There are 13 households with 1 child

There are 11 households with 2 children

There are 4 households with 3 children

There is 1 household with 4 children

There are 0 households with 5 children

There is 1 household with 6 children

There are 0 households with 7 children

Therefore, there's a total of 13+11+4+1+0+1+0=30 elementary students

HELP ME !! AND EXPLAIN HOW YOU GOT IT.

PLEASE ANSWER !! ILL GIVE BRAINLIEST !!

50 POINTS !!

FAKE ANSWERS WILL GET REPORTED .

Answers

Answer:

<1= 62

•it is 62 because it is an alternate interior angle which is congruent

<2= 83

• when you add the given angles 62 and 35 you get 97 and a triangle is 180 so you subtract 97 from 180

<3=35

• it is 35 because it is an alternate interior angle which is congruent

Step-by-step explanation:

62+35= 97

180-97= 83

1.
7844
A
27
B
26.4
2.
1900
C.
29.1
3.
1650
D.
28,4
4
1784
E
28
F.
26.1
5,
1699
G
25.5
6.
V805
H
30
7
1729

Answers

Answer:

gebiz hadi bir ben kusura siz

Step-by-step explanation:

sneidmd

Select all that apply.

Select the real words which can be formed with pass.

passable
passage
passdom
passen
passing
passly

Answers

Answer:

passable

passage

passing

Answer:

passable, passage, passing

Step-by-step explanation:

passable is a word

passage is a word

passdom isn't a word

passen isn't a word

passing is a word

passly isn't a word

Please both questions! I'll give Brainlyest

Answers

Answer:

Step-by-step explanation:

3=t-12

12+3=t

15=t

c is the answer

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