How do you solve these two problems please explain step by step

How Do You Solve These Two Problems Please Explain Step By Step

Answers

Answer 1

Answer:

1) [tex]x=15, y=41[/tex]

2) [tex]x=6, y=24[/tex]

Step-by-step explanation:

1)

The two triangles are similar by AA similarity.

That means [tex]5x-5=4x+10[/tex].

We can add [tex]5[/tex] to both sides to get [tex]5x=4x+15[/tex].

We can then subtract [tex]4x[/tex] from both sides to get [tex]x=15[/tex].

We know that the [tex](5x-5)+(6y-4)=180[/tex]  because they both lie on a straight line.

We can plug in for [tex]x[/tex] to get [tex](5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180[/tex].

We can divide both sides of the equation by [tex]6[/tex] to get [tex]y-11=30[/tex].

We then add [tex]11[/tex] to both sides to get [tex]y=41[/tex].

So, [tex]\boxed{x=15, y=41}[/tex] and we're done!

2)

Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to [tex]180^{\circ}[/tex], we have that [tex]90+3y+18=180[/tex].

We can subtract a [tex]90[/tex] and an [tex]18[/tex] from both sides to get [tex]3y=72[/tex].

We then divide both sides of the equation by [tex]3[/tex] to get [tex]y=24[/tex].

We do the same thing for [tex]x[/tex]. On the other side of the trapezoid, we have that [tex]15x+30+10x=180[/tex].

We combine like terms on the left side to get [tex]25x+30=180[/tex].

We subtract a [tex]30[/tex] from both sides to get [tex]25x=150[/tex].

We divide both sides of the equation to get [tex]x=6[/tex].

So, [tex]\boxed{x=6, y=24}[/tex] and we're done!


Related Questions

A bag contains 100 ounces of birdseed.
The birdseed company plans to reduce
the amount of seed in a bag by 15%.
How many ounces will be in a new bag
of birdseed?
F
15 OZ
H 85 oz
G
17.25 oz
J
115 Oz

Answers

Answer:

H

Step-by-step explanation:

help m.e please please

Answers

Answer:

the answer is -2,-2

Step-by-step explanation:

Find the perimeter of the trapezoid.

Answers

Answer:

18.9

Step-by-step explanation:

perimeter of a trapezoid is base + base + side + side (p = a + b + c + d)

adding up each of the sides gives you 18.9

The price of a microwave is $85. The sale tax is 7%. What is the total cost of the microwave?

Answers

Answer:

the answer will be 30...................

Answer:

$90.95

Hope this helps you! Also, here is a story to go along with my answer!

Once Upon A time there was a noble Knight, he wasn’t like any other Knight, he had powers, something much more than a sword and shield. He was part of a fairytail, which in this world is a association of wizards, or people who can use magic. As the noble night was walking around town, he noticed a figure far in the distance, of course he was a young, curious knight, so he decided to go explore the figure in the distance. As he walked upon the figure that wasn’t so far anymore he relized somethin, something so astonishing that he thought would never Be real, a castle full of treasures full of coins and gems. As he walked in to the castle, he wasnt aware f what would happen if he where to take the treasure, he made the best choice, not to satisfy his greed, and left the castle as it was when he found it before, promising himself not to tell anyone about what he witnessed that day.

Yours Truly, TheAnimeCatUwU

Two parallel lines are cut by a transversal. What is the measure of 26?
A. 180°
B. 90°
C. 123°
D. 57°

Answers

your answer will be option D.
Step-by-step explanation:
123 + x = 180
x = 180 -123
x = 57

Answer:

57

Step-by-step explanation:

1+2=180

123+2=180

2=180-123

2=57

2=6=57 ( because 2 and 6 are 2 isotopic angles)

PLZ HELP DUE TODAY NO LINKS I WILL REPORT!!!

Answers

Answer:

452.16 in^2

Step-by-step explanation:

multiply 12 times 12

then multiply that number by Pi(3.14)

2x + 5 = 15 Check:






please and thank you ​

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

VERY EASY

peter pays $6.20 for a gallon of petrol in Canada. His friend Doug pays $1.50 per liter in Barbados. Which petrol is more expensive? ​

Answers

Answer:

Canada

Step-by-step explanation:

Multiply $1.50 by the amount of liters in a gallon 3.78541 and it is less than 6.20

Answer:

peter pays more money

Step-by-step explanatipeter is more

because 4 liters is a bit over a gallon and each liter is 1.50 so 1.50 x 4 is 6 dollars so peter pays more money

Part B Which of these statements are true? Choose all that apply. . А More than 20% of girls and more than 20% of boys chose math as their favorite subject. Fewer than 30% of girls and fewer than 20% of boys chose English as their favorite subject. с Fewer than 20% of girls and fewer than 20% of boys chose history as their favorite subject. D More than 20% of girls and more than 30% of boys chose science as their favorite subject B​

Answers

Is there a sort of graph that I could look at and then I could tell, because I don’t just know this information off the top of my head.

A dresser has a width of 6 feet, a height of 3 feet, and a depth of 2 feet. If the dresser has 6 drawers of the same size, what is the volume of the space for each drawer?

Answers

Answer:

The volume of the space for each drawer is 6 feet^3.

Step-by-step explanation:

Solve for the volume of the entire dresser.

Formula for volume of a rectangle:

Volume (v) = Length (l) × width (w) × height (h)

v = 2 × 6 × 3

v = 12 × 3

v = 36

Now divide the volume by the number of drawers.

36 ÷ 6 = 6

You have worked 35 1/2 hours and your hourly rate payid $10.75. Calculate your straight - time pay.

Please help.

Answers

Answer:

C

Step-by-step explanation:

You need to times 35.5 by 10.75 which will get you 381.62 which rounds to 381.63

The answer is 381.63

Help I need to find the area????!!!?!?!?

Answers

It should be 63 bc area is height x width :)

Help me with this thanks

Answers

It’s A bro bro bro bro bro

Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-3}3 −3 3^{3}3 3

Answers

Answer:

27

Step-by-step explanation:

Given the expression

[tex]\left(3^{-6}\times 3^{3}\right)^{-1}\\[/tex]

According to law of indices, this can be written as;

[tex]\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27[/tex]

Hence the required answer is 27

PLZ HELP ASAP!!!! NEED HELP!!!

Answers

Answer:

I'm pretty sure the answer is C

Given that 3x : 8 = 9 :2 , find the value of x .

Answers

Answer:

i hope you understand this answer

[tex]3x : 8 = 9 : 2[/tex]

[tex] \frac{3x}{8} = \frac{9}{2} [/tex]

[tex]3x × 2 = 8 × 9[/tex]

[tex]3x = \frac{8 \times 9}{2} [/tex]

[tex]3x = 4 \times 9[/tex]

[tex]x = \frac{4 \times 9}{3} [/tex]

[tex]x = 4 \times 3[/tex]

[tex]x = 12[/tex]

An estate valued at $60 000 is divided among
three daughters Annette, Betty and Carol in the
ratio 1:2:3 respectively.
(a) Calculate the amount each received.

Answers

Answer:34 13

Step-by-step explanation:

ffrff

20000 I divided 60,000 by 3 because there are three of them

What is the answer for 8.7mm and 10mm?

Answers

Answer:

18.7

Step-by-step explanation:

just add them

Ramon paid $3.25 for notepads and $1.80 for markers.
how much of each item did he buy?

notepad cost: $0.65
markers cost: $0.36

Answers

He bought 5 notepads and 5 markers.

Math Due soon pls help fast

Answers

Answer:

your answer will be A.π(12.1)²

Step-by-step explanation:

hope it helps...

have a great day

Answer:

option A

is the correct answer of this question π(12.1)^2

hope it helps and your day will be full of happiness.

^_^

In AQRS, the measure of ZS=90°, the measure of ZQ=64°, and RS = 16 feet. Find the length of QR to the nearest tenth of a foot.

Answers

Answer:

17.8

Step-by-step explanation:

Using the SOH CAH TOA identity

Opposite = 16

Hypotenuse = QR = x

Angle of elevation = 64 degrees

Sin64 = opp/hyp

Sin 64 = 16/x

x = 16/sin64

x = 16/0.8898

x = 17.8

Hence QR is 17.8 to the  nearest tenth of a foot

Jim needs 224 programs for the school play on Thursday. How many boxes of programs will he need, given that each box contains 46 programs?

Answers

Answer:

He needs 5 boxes.

Step-by-step explanation:

224 divided by 46 is 4.86956521739, however he needs all of them, so he needs to put the extra in another box.

A shark is cruising at a depth of 32.9 meters below sea level. If it
ascends 15.5 meters, what is the shark's new depth?

Answers

Ascending means rising so I’m pretty sure you add 15.5 to 32.9 which is 48.4

Pls help what is the answer? I need help, no links are allowed.

Answers

Answer:

44 cm³

Step-by-step explanation:

If you break up this shape into 2 pieces you get a rectangle with the measurements of 2, 2, and 5 and another rectangle with the measurements of 2, 2, and 6. You then multiply 2, 2, and 5 together which will get you 20, and multiply 2, 2, and 6 together which will get you 24. You will then add both products which will get you 44. Since the measurement is in centimeters and it is a 3 dimensional shape it will then become 44 cm³.

Can someone help me please ? :)

Answers

Answer:

(4, 3 ) and (1.5, 8 )

Step-by-step explanation:

Given the 2 equations

2x + y = 11 → (1)

xy = 12 → (2)

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.

y = 11 - 2x → (3)

Substitute y = 11 - 2x into (2

x(11 - 2x) = 12 , that is

11x - 2x² = 12 ( subtract 12 from both sides )

11x - 2x² - 12 = 0

2x² - 11x + 12 = 0 ← in standard form

(x - 4)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5

Substitute these values into (3) for corresponding values of y

x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )

x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )

PLEASE HELP
Complete the function for this graph:

Answers

Answer:

The equation is:

f(x) = Ix + 3I - 2

Step-by-step explanation:

For a function like:

f(x) = Ix - kI + c

k is the x-value where the vertex is, and c is the y-value where the vertex is.

In the graph we can see that the vertex is in the point (-3, -2)

then:

x-value = -3 = k

y-value = -2 = c

Replacing those in the equation for the function:

f(x) = Ix - (-3)I - 2

f(x) = Ix + 3I - 2

Patricia recorded the prices of watches at a store. The prices are shown in the table.



Watches
Price (dollars)
15
22
16
24
16
20
12
27


What is the median price of the watches in dollars?

Answers

The median price of the watches in dollars is: $16.00

Jillian wants to figure out how much water will fit inside the water tower that is by her house. So she wants to find the volume of the water tower. True or false?

Answers

Answer:

I'm going to say true because that's the most logical answer

Step-by-step explanation:

true is the answer Hope it helps you

What is the measure of Zr?
Angles are not necessarily drawn to scale L M 133 N O

Answers

Answer:

47°

Step-by-step explanation:

Line LN equal 180°. Since MON equals 133°, subtract 180-133 to get 47°

Jabari owns 100 shares of Stock A and 45 shares of Stock B For the past month, his stocks have been fluctuating inversely. Stock A decreased
by m cents per
share and Stock B increased by n cents per share. Which equation can be used to find the total change in value of Jabari's
shares per month?

Answers

Answer:

Answer is

(100*-m)+(45*n)

Step-by-step explanation: because stock  decreases per sock so you're going to multiply 100 times -m because it is decreasing so it will be negative

Then it will be 45*n because it increases per number of stocks so you multiply 45 which is the number of stocks times n

Step-by-step explanation:

Other Questions
There are ____________ amino acids that share the same basic structure and serve as building blocks to proteins.Group of answer choices12202000200 Which equations are true for x = 2 and x = 2? Select two options x2 4 = 0 x2 = 4 3x2 + 12 = 0 4x2 = 16 2(x 2)2 = 0 Toward the end of the Civil War, Congress passed legislation that made it difficult for state banks to issue their owncurrency by Un avin vuela hacia al norte a una velocidad de 90 m/s, pero un fuerte viento sopla hacia al este a 20 m/s y desva su rumbo. Realiza los trazos y encuentra el vector resultante. what percentage of genetic information is passed on from parents to their offspring Tell us what you do in the school days? Is this a IdiomPersonification Alliteration Peter piked and picked a pepper What advantage did the colonists have during the American Revolution?more belief in their causemore reasons for African Americans to join their fightmore experienced soldiersmore support from Native Americans I NEED HELP NOW !!!!! PLEASE WHAT IS THE ANSWER TO NUMBER 2 I WILL MARK BRAINLIEST FOR A REAL ANSWER What was writing and record-keeping like in ancient India The ratio of men to women working for a company is 5 to 4. If there are 162 total, how may women work for the company Benjamin Franklin, which type of Parliamentary tax is acceptable to the American colonists? A ride sharing company offers two options: riding in small cars that can carry up to 3 passengers each, or riding in large vans that can carry up to 6 passengers each. A group of 27 people is going to use the ride sharing service to take a trip. The trip in a small car costs $10 and the trip in a large van costs $15. The group ends up spending $80 total. An equation that represents one of the constraints is 3x+6y=a. What is the value of a? BRIANLIST ANSWER pls help i meant to put science is 3Next Migration and Population Distribution: Mastery TestSubmit TestDrag each tile to the correct location.Based on what you know about the relationship between climate, water availability, and population, identify each region as a high-density orlow-density region.Brahmaputra River deltaTokyoNew York CityGobi Desert in Mongoliathe Arcticdry regions of NamibiaHigh Density RegionLow Density RegionResetNext What theme tries to explain how and why places are similar?RegionLocationHuman-Environment InteractionMovement what is the best name for binary compound of nitrogen and oxygen A . Nitrogen oxideB. Nitrogen oxnie C.oxide nitrogen D.Nitride oxygen A mission to send humans to Mars is set for the 2030s. Perhaps you could be riding that rocket to the Red Planet. Who knows? You might even be piloting the ship yourself! Which means almost the same as mission? A. parade B. trip C. announcement D. contest Which of the following statements are not true? the contribution margin income statement allows users to easily judge the impact of a change in ______ on profit. Steam Workshop Downloader