Solve for x and then solve for y.

Solve For X And Then Solve For Y.

Answers

Answer 1

Answer:

y = 62

Step-by-step explanation:

Since we need to solve for x first, we'll solve the left triangle first. A triangle equals 180 degrees, so with in mind:

x + 7 + 3x - 18 + x - 9 = 180

add like terms

5x - 20 = 180

add 20 to both sides

5x = 200

divide by 5

x = 40

Now we have x, input it into the equations for the second triangles:

x + 21 + x + 17 + y = 180

40 + 21 + 40 + 17 + y = 180

add/simplify

118 + y = 180

subtract 118 from both sides

y = 62

Answer 2

Answer:

x = 40° ; y = 62°

Step-by-step explanation:

The figure consists of 2 triangles. According to Angle sum property in a triangle , sum of measure of all the angles of a traingle is equal to 180° .

So ,

[tex](3x - 18) + (x + 7) + (x - 9) = 180[/tex]

[tex] = > 5x - 20 = 180[/tex]

[tex] = > 5x = 180 + 20 = 200[/tex]

[tex] = > x = \frac{200}{5} = 40[/tex]

Now using the angle sum property in another triangle ,

[tex](x + 21) + (x + 17) + y = 180[/tex]

[tex] = > y + (40 + 21) + (40 + 17) = 180[/tex]

[tex] = > y + 61 + 57 = 180[/tex]

[tex] = > y + 118 = 180[/tex]

[tex] = > y = 180 - 118 = 62[/tex]


Related Questions

If AABC = ADEF, which segment is congruent to AC?

Answers

Answer:

Segment DF

Step-by-step explanation:

The corresponding vertices are in the same order in both triangles.

ABC

DEF

Segment AC is congruent to segment DF.

Which point represents the ordered pair (-2 1/4, 2/3)?
A. Point Q
B. Point R
C. Point S
D. Point T

Answers

Answer: c. Point S

Step-by-step explanation:

Answer:point s

Step-by-step explanation:

Need help with this fast

Answers

Answer:

the second diver is the deepest

Step-by-step explanation:

45 is better than 36

PLEASEEEEE HELPPPPP THIS IS ALGEBRA 1

Raise m to the 5th power, then multiply 8 by the result

Answers

Answer:

8m⁵

Step-by-step explanation:

m to the 5th power = m × m × m × m × m

                                = m⁵

Then multiplied by 8 = 8 × m⁵

                                   = 8m⁵

Therefore, m to the 5th power multiplied by 8 will be represented by 8m⁵.

Maurice and his father are building a dog house. They are using long pieces of wood and cutting them into smaller pieces. They have a piece of wood that is 3.6 feet long and are cutting it into pieces that are each 0.75 feet. How many smaller pieces will they be able to make?

Answers

Answer:

4.8 smaller pieces

Step-by-step explanation:

Total length of wood = 3.6 feet

Length of each piece = 0.75 feet

How many smaller pieces will they be able to make?

Number of smaller pieces of wood = Total length of wood / Length of each piece

= 3.6 feet / 0.75 feet

= 4.8 smaller pieces

Number of smaller pieces of wood = 4.8

The diagonals of quadrilateral ABCD
intersect at E
. If EC=4, BD=12, AE=x,
and BE=y
, what values of x
and y
would prove that the quadrilateral is a parallelogram?

Answers

Answer:

Step-by-step explanation:

16 ae =x

The values of x

and y  that would prove that the quadrilateral is a parallelogram are 4 and 6 respectively.

Find the diagram attached. In order to prove that the quadrilateral is a parallelogram, we need to find the values of x and y that make the diagram a parallelogram.

From the parallelogram;

AE = EC and BE = EDBD = BE + EDAC = AE + EC

Given the following parameters

EC=4,

BD=12,

Since AE = EC, hence the measure of AE is 4.

Similarly, BD = BE + ED

BD = BE + BE

BD = 2BE

12 = 2BE

BE = 6 = y

Hence the values of x

and y  that would prove that the quadrilateral is a parallelogram are 4 and 6 respectively.

Learn more about parallelograms here: https://brainly.com/question/12825816

Two complementary angles have a difference of 22 degrees. What are the two angles?
plz its due in 20 min

Answers

Answer:

If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️

Above sum solution....

one angle =x

other angle =y

According to question

x+y= 90°......(1)

x-y=22°......(2)

from one and two ....by eliminating method...

2y=68

y=68/2

y=34

put y in equation 1

x+y=90°

x+34=90°

x=90°-34

x= 56...

To verify add both

sum = 90°

Hence ..verified...

Step-by-step explanation:

hope its helps u...☺️✌️✌️

Answer:

13 degrees

Step-by-step explanation:

Easy points if u know it

Answers

Answer:

True

Step-by-step explanation:

5x + 2 = 17

Subtract 2 from both sides

5x = 15

Divide both sides by 5

x = 3

Plug this number into the next equation and see if it is true

10x + 4 = 34

10(3) + 4 = 34

30 + 4 = 34

34 = 34

This is a true equation, so the the answer is true.

Answer:

True

Step-by-step explanation:

This is true because the whole equation 10x + 4 = 34 is 2 times more than the other equation 5x + 2 = 17.

You can see that by multiplying the whole equation 5x + 2 = 17 by 2:

2(5x + 2 = 17)

To get:

10x + 4 = 34

So both equations are equivalent, which means that the answer is true.

Hope this helps! :)

Please help 10 pts given

Answers

Answer:

6.50 per mile

Step-by-step explanation:

PLEASEEE ANSWERR
Which steps show how to use the distributive property to evaluate 7 · 88?
A. 7(88)=7(90 - 2) = 7.90-2 +630 – 2 = 628
B. 7(88)= 7(90 - 2) = 7.90-7.2 = 630 – 14 = 616
C. 7(88)=7(90 - 2) = 7.90 +7.2 = 630 + 14 = 644
D.7(88)=7(90 - 2)=7.90 - 90.2 = 630 – 180 = 450

Answers

Answer:

b

Step-by-step explanation:

B because no other make sense

The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean. What is the variance of the data set?

Answers

Answer:

D.16

Step-by-step explanation:

took the Unit test 100%

Answer:

D

Step-by-step explanation:

Janet buys a pair of shoes for 50% off the original price of $80. What is the sale price of the shoes?

Answers

Answer:

$40

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

80 divided by 2 = 40 50 %

Can someone pls help me

Answers

Answer: x = 7

Step-by-step explanation:

7x+9=58

8x+2=58

These are congruent angles so they are the same value.

1-4x/2x+1=4/1-5x
solve in quadratic equations​

Answers

Answer:

I can only assume that the entire 1-4x is divided by 2x, and 4 by all of 1 - 5x.  You can guarantee more accurate results by using brackets where appropriate.  If I read that expression with the correct notation, it reads as [tex]1 - \frac{4x}{2x} + 1 = \frac{4}{1} - 5x[/tex].

Assuming instead that it's meant as [tex]\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}[/tex], we can solve it as shown below, giving us x values of 1 and 3/20 (or 0.15).

Step-by-step explanation:

First let's reformat this to the usual ax² + bx + c format:

[tex]\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}\\(1 - 4x)(1 - 5x) = 4(2x + 1)\\1 - 5x - 4x + 20x^2 = 8x + 4\\20x^2 - 5x - 4x - 8x + 1 - 4 = 0\\20x^2 - 17x - 3 = 0[/tex]

Let's solve it with the quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\\\\x = \frac{17 \pm \sqrt{-17^2 - 4\times 20 \times( -3)} }{2\times20}\\\\x = \frac{17 \pm \sqrt{289 + 240} }{40}\\\\x = \frac{17 \pm 23 }{40}\\\\x = 1, \frac{3}{20}[/tex]

PLEASE HELP
9 increased by the product of 4 and v

Answers

Answer:

4v + 9 or 9 + 4v

Step-by-step explanation:

increased means plus

the product of is multiplication

im too tired to explain annything else

gn bro

Slope of (9,4) and (7,10)

Answers

Answer: The slope of those two points would be -3

I hope this helps, and Happy Holidays! :)

Answer:

-3 ..?

Step-by-step explanation:

Events A and B are independent. The probability of A given B has occurred is 0.43, and the probability of B given A has occurred is 0.35.

What is the probability, to the nearest hundredth, that A and B occur?

Answers

Answer:

0.43* 0.35 = 0.1505 or 0.15 after rounding

Step-by-step explanation:

Based on the probabilities of A and B occurring with conditions, the probability of A and B occurring is 0.15.

What is the probability that both A and B occur?

This can be found by the formula:

= Probability that A occurs if B occurs x Probability of B occurring if A occurs

Solving gives:

= 0.43 x 0.35

= 0.15

In conclusion, the probability is 0.15.

Find out more on independent event probabilities at https://brainly.com/question/7965468.

#SPJ2

Can I PLEASE GET SOME HELP FROM SOMEBODY ANYBODY for these questions 26,43,44,45 PLEASE ​

Answers

Answer:

sure

Step-by-step explanation:

5^2 + [15-4(3 1/5)] -15.4
And you have to show your work Bc the dang teacher is strict

Answers

Answer:

I think the answer is 11.8

Step-by-step explanation:

25+ [ 15- 4 x 16/5] - 15.4

25 +[ 15- 4/1 x 16/5] - 15.4

25+ [ 15 - 20/5 x 16/5] - 15.4

25 +[ 15 -  64/5] - 15.4

25+ [ 15/1 - 64/5] - 15.4

25+ [75/5 - 64/5] - 15.4

25+ 11/5 - 15.4

25+ 2.2 - 15.4

27.2 - 15.4

11.8

plz help i’ll mark brainliest for correct answer

Answers

Answer:B

Step-by-step explanation:

(x+1)^2-(x-8)^2
please help

Answers

simply each term

x^2+2x+1-x^2+16x-64

simply by adding terms

18x - 63

12- [3 - (13) * 2]
I need work shown

Answers

Answer:

35

Step-by-step explanation:

Answer:

12−(3−(13)(2))

=12−(3−26)

=12−(−23)

=35

Step-by-step explanation:

please it’s an emergency

Answers

Answer: C

Step-by-step explanation:

Okay first set a comparison since the two triangles are similar

x-1/20=x-1+27/3x+8

x-1/20 = x+26/3x+8

cross multiply

20x+520=3x^2+8x-3x-8

3x^2-15x-528=0

3(x^2-5x-176)=0

im kinda lazy to factor this out so i used an online calculator right here but factor it out like a good kid

x=16, x=-11

it has to be positive so x=16

C

can someone please help me find out what LN and KN is

Answers

Answer:

LN= 3,9

KN=-2,9

Step-by-step explanation:

its that answer because on the number lime L is 3 and N is 9 and K is -2

Select the correct answer. What is[tex]\sqrt{192}[/tex] in simplest form? A.32√3 B.3√8 C.8√3 D. 2√48

Answers

Answer:

C. 8√3

Step-by-step explanation:

Please mark me as brainlest!

Thanks!

48√2 in the simplest form of the expression √192.

Option D is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the √192 by factoring it into its prime factors:

192 = 2 × 2 × 2 × 2 × 2 × 3 × 3

Then, we can group the prime factors into pairs of two:

192 = (2 × 2) × (2 × 2) × (2 × 3) × 3

Simplifying each pair of factors under the square root gives:

[tex]\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}[/tex]

Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:

[tex]16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}[/tex]

Therefore,

48√2 in the simplest form of the expression √192.

Learn more about expressions here:

https://brainly.com/question/3118662

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Solve the following equation for x:

-3 (x - 4)+ 24x = 4(5 – 2)+7x

Answers

Use Cymath to get your answer

Jill has 15 oranges and 12 pears. She wants to put all of the fruit into baskets with each basket having the SAME NUMBER of pieces of fruit in it. Without mixing the fruit, what is the GREATEST number of pieces of fruit Jill can put in each basket?

Answers

Y’all need help ASAP thanks for

Your bedroom is a square and each side of your bedroom is 8 feet long what is the area of your bedroom

Answers

64 Hope this helps!!!!!

Answer: 64 square feet

Step-by-step explanation:

Jeremy needs an extra 2 dozen cookies in addition to the 4 dozen (48) that the recipe makes. He says to himself "If I just add 2 to the amount of each ingredient, that will be how much I need."
Is Jeremy correct? Explain why or why not.

Answers

Answer:

yes

Step-by-step explanation: because it's 1 1/2 times the recipe

Yes jeremy is correct because if I add 2 to the amount of each it will be the needed amount

You are standing at the edge of a cliff. You look down with an angle of depression of 20 degrees and see a a dog at the bottom that is 130 feet away from where you're standing. What is the height of the cliff? Round your answer to the nearest tenth, and round only once.

Answers

Answer:

47.3feet

Step-by-step explanation:

The set up will give a right angled triangle.

The distance of the dog away from the cliff = 130 feet = adjacent side

Angle of depression = 20°

Height of the cliff = Opposite = x

Using the SOH, CAH, TOA trigonometry identity;

According to TOA;

tan theta = opposite/adjacent

tan 20 = x/130

Cross multiply;

x = 130tan20

x = 130(0.3639)

x = 47.3 feet

Hence the height of the cliff to the nearest tenth is 47.3feet

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