(SAT Prep) Find the value of x.

(SAT Prep) Find The Value Of X.

Answers

Answer 1

Answer:

x = 155

Step-by-step explanation:

First find the missing angle in the smaller triangle.

We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55

Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.

The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.

The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.

Answer 2
Recall that triangles add to 180 degrees.
In the left triangle, the angles are 35 + 90 + angle = 180. The third angle of the left triangle is 55 degrees.

Now recall that angles drawn from a straight line all add up to 180 degrees
So 55 + 60 + third angle = 180. Thus, the third angle is 65 degrees.

Within the middle triangle, we now have 2/3 of the angles. 90 + 65 + third angle = 180. Thus, the third angle is 25 degrees.

25 degrees is right next to angle X. As we have already stated, they add up to 180 when adjacent.

So 180-25 = 155 degrees, the value of angle X.

Related Questions

Please help! Will mark brainliest! ASAP

Answers

Answer:

165.00 dollars

Step-by-step explanation:

Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:_________

PLEASE HELP ME!!!

Answers

Answer:

62%

Step-by-step explanation:

I took a fraction and made a decimal which was made into a percentage.

186 ÷ 300 = .62

Check: 62% • 300 = 186

The survey Anna conducted has 62% of students whose favorite color is red.

What is percentage?

The percentage is the value per hundredth. Percentages can be converted into decimal form by dividing them by hundred, Percentage can also be represented as a fraction.

Given that 186 out of 300 students Anna surveyed chooses red as their favorite color.

The percentage of students whose favorite color is red is no. of students whose favorite color is red divided by the total no. of students multiplied by hundred which is,

= (186/300)×100.

= 186/3.

= 62%.

learn more about percentages here :

https://brainly.com/question/14801224

#SPJ6

A bucket that has a mass of 20 kg when filled with sand needs to be lifted to the top of a 10 meter tall building. You have a rope that has a mass of 0.4 kg/m that must be secured to the bucket. It takes 1 meter of rope to secure the bucket. Once the bucket reaches the top of the building it only has mass 16 kg because there was a hole in the bottom and sand was leaking out at a constant rate while it was being lifted to the top of the building.

Find the work done lifting the bucket (sand and rope) to the top of the building.

Answers

Answer:

W=2001.24 newton meters

Caution: check units and arithmetic - I often make errors.

Step-by-step explanation:

Work is force times distance.

Denote height by h where h=0 is at ground level.

Denote the mass of the bucket and rope at height h by m(h).

The rate at which the bucket loses mass with height is (20-16)/10=0.4 kg/m

The rate at which the rope between the bucket and the top of the building loses mass is 0.4 kg/m

The initial mass of the bucket and rope is

[tex]m_{0}=20+0.4+0.4(10)=24.4[/tex]

The mass at height h is

[tex]m(h)=24.4-0.8h[/tex]

The force required at height h is

m(h)g

where g is the gravitational acceleration.

g=9.81 meters/sec/sec

The work required is

[tex]\int\limits^b_a {m(h)g} \, dh[/tex]

Where a=0 and b=10

[tex]g\int\limits^b_a {(24.4-0.8h)} \, dh=g(24.4h-0.4h^2)\left \{ {{10} \atop {0}} \right.[/tex]

g(244-40)=204g

W=2001.24 newton meters

1. A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000. What was the growth rate as a percent for that 5-year period?


Pls help


A. 6.48%


B. 3.34%


C. 5.23%


D. 2.15%

Answers

Answer:

The growth rate for the period was of 17.86%.

Step-by-step explanation:

To find the growth rate as a percent, we multiply the change by 100, and divide by the initial value.

A house cost $112,000 in 2010. By the year 2015, the house had a value of $132,000.

Change: 132 - 112 = 20

Initial value: 112

Growth rate as a percent:

20*100/112 = 17.86%

The growth rate for the period was of 17.86%.

Answer:b

Step-by-step explanation:

From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.

Answers

Answer:

42.537 m

Step-by-step explanation:

Let x = height of tower

tan 28 = x/80

x = 80 tan 28

x = 42.537 m

Solve for x in equation x^2-10x25=35

Answers

Answer:   b

Step-by-step explanation:

x= 5+√35 and 5-√35

Which of the following is the expansion of
(2x + 3)^3?

Answers

I think the answer is 8×^3+36×^3+54×+27. If the answer is wrong then I'm sorry

Answer:

8x^3 + 36x^3 + 54x + 27

Step-by-step explanation:

If you're asking to expand the equation the answer is 8x^3 + 36x^3 + 54x + 27

what is the area of 5m, 17m, 8m, and 5m, the shape is a kite

Answers

Answer:

It can't be a kite. A kite has 2 pairs of equal sides.

Step-by-step explanation:

Write the word sentences as an equation! Half of a number q is 14.

Answers

Answer:

q/2=14

I hope this helped you :)

hitunglah luas permukaan balok dengan ukuran sebagai berikut
a. 8 cm × 4 cm × 2cm
B. 8 cm × 3 cm × 4 cm ​

Answers

jawaban

a. = 112 cm²b. = 136 cm²

penjelasan langkah demi langkah( step by step explanation )

Total Luas Permukaan = 2 (Panjang x Lebar + Lebar x Tinggi + Panjang x Tinggi)

a.Luas Permukaan = 2( 8×4 + 4×2 + 2×8 )

= 2 ( 32 + 8 + 16 )

= 2 × 56

= 112 cm²

b.Luas Permukaan = 2( 8×3 + 3×4 + 4×8 )

= 2 ( 24 + 12 + 32 )

= 2 × 68

= 136 cm²

good morning!

(+64) + (+31) =

Answers

Answer:

95

Step-by-step explanation:

Answer:

Good morning to you too:)

Step-by-step explanation:

the answer is 95

What number is between 5/2 and the other number In the photo.

Answers

5/2 would simplify to 2.5 and √11 would be 3.3 so the answer should be 3

Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?

Answers

Answer: 4 dollars for each notebook

Step-by-step explanation:

21-9= 12

12/3=4

each notebooks costs 4 dollars

Answer:

$4

Step-by-step explanation:

A man earns $1500 a week. He saves $500. What percentage did he spend?

Answers

Answer:

3313%

Step-by-step explanation:

He spent 66.67%. Check below for reference:

how can I learn to understand it more

Answers

Step-by-step explanation:

Well if you dont understand something ask a teacher for help or study on a topic that you struggle with for example math try looking up different math questions and solving them or ask a teacher is you can have pratice questions or problems then show it to him/her so they can check to see if you are right. Hope that help unless you dont understand a certain question that I might have missed.

PLEASE HELP PLSS IM ON A TIME LIMIT!!!

Answers

Answer:

so on the first one all your doing is multiplying 65 by the number on top so the graph should look like this.

2 3 4 5

130 195 260 325

On the second one all your doing is putting the dot where the numbers meet up so for example. I'm going to try my best at this to create a drawing so pretend ! is a line and - is also a line.

10!

!

8!

!

4!_|●_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|_

0!_|_|_|_|_|_|_|_|_|_

2

so I hope this made sense so where I put my dot is where the blue dot should go on the graph

11. Let f(x) = 2x² + 7x + 5

Answers

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

12.5(7) + 11.9(8)=?


Answers

Answer:the answer is 182.7

Step-by-step explanation:brainliest please Sans Undertale out

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b. -2 + 3x = -(x + 6)
Solve for x

Answers

Answer: x = -1

Work:

-(x + 6)
-x - 6


-2 + 3x = -x - 6

Put x to one side of the equation. This one will be on the left side. Add x to do so.

-2 + 4x = -6


Isolate x by adding 2.


4x = -4


Divide by 4 to isolate x for the final time.


x = -1

brian is buying cans of baked beans for a camping trip.each can is 15 ounces.if he buys 7 cans,about how many pounds of beans is he buying?
2 pounds
5 pounds
7 pounds
10 pounds​

Answers

Answer:

about 7 pounds

Step-by-step explanation:

NOTE: 16 ounces equals a pound

so, we would do 15x7 which equals 105 ounces. then we would do 105/16 since 105 is the ounces in total and 16 ounces=1 pound. so our answer would equal to 6.5625. which rounded off would be about 7 pounds. I hope this is correct /helps!:)


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = x + 11

Step-by-step explanation:

The table is showing 4 x and y values. With the question of which equation gives the rule of the table.

To solve, all we have to do is plug in x with the correspondant equation, same goes with y.

y = x + 11 will be the only one that fits mainly because all the other ones gives a higher result.

Answer:

y = x + 11

Step-by-step explanation:

y + 11 = 11

1 + 11 = 12

2 + 11 = 13

3+ 11 = 14

4+ 11 = 15

y is the first row, 1,2,3,and 4

11 is 11 (lol)

x is the answer

your answer is y=x+11

What is the probability that a value picked at random from the standard normal distribution will be between -1.96 and 1.96?

Answers

Answer:

P( -1.96 ≤ Z≤ 1.96) = 0.95

Step-by-step explanation:

Explanation:-

Given that the z -scores -1.96 and 1.96

we have to find   P( -1.96 ≤ Z≤ 1.96)

P( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|

                              = |A(1.96)+A(-1.96|   (∵A(-Z) = A(Z))

                            =  0.4750+0.4750

                            = 2×0.4750

                           = 0.95

The probability lies between  -1.96 to 1.96

P( -1.96 ≤ Z≤ 1.96) = 0.95

             

An adult and 5 children rent skates. It costs $4 per adult for skates and a total of
$16.
What is the equation?

Answers

Answer:

$24

Step-by-step explanation:

(1+5) x 4 = 24 dollars

Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER

Answers

Answer:

36-e

Step-by-step explanation:

-

Which table or graph shows the value of y going down as the value of x goes up?

Answers

Answer:

c.

Step-by-step explanation:

If you can buy 4 containers of pudding for $4.20 how much can you buy for $9.45 math problem PARAMETERS
*** 7 STEPS ***

Answers

Answer:

9 containers

Step-by-step explanation:

$4.20 for 4 containers

Form that we can find the cost per container, the unit cost.

$4.20 / 4 containers = $1.05/container

Each container costs $1.05

Now we find the number of containers we can buy with $9.45 by dividing $9.45 by the unit cost.

$9.45/($1.05/container) = 9 containers

Answer: 9 containers

Step-by-step explanation:

Four containers of pudding cost $4.20.

4x = 4.20

x = 1.05

Using this we know that one container of pudding costs $1.05.

Then, divide the maximum amount that you have by the cost of one.

9.45/1.05 = 9

With $9.45, you can buy nine cups of pudding.

In the case that you can buy the four containers in bulk (4 at a time)...

You can only buy 8 containers of pudding (two) because $4.20 only fits into $9.45 twice.

It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the company’s monthly production cost, y, in terms of the number, x of bikes it makes. y=?

Answers

Answer:

Step-by-step explanation:

[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]

what is the quotient of 0.6÷243​

Answers

Answer:

the answer is 0.0024

Step-by-step explanation:

there are more digit's after 4 but hope this is enough

graph the linear equation y= -4/9x -4​

Answers

Answer:

I used Desmos to graph it

A carpenter needs to cut a 5 foot, 8 inch piece of wood from an 8-foot board to make a repair to a door. How many inches of wood will he have left after he makes the cut and repairs the cut and repairs the door?

Answers

Answer:

Step-by-step explanation:

1 foot = 12 inches

length of board in inches = 8 ft × (12 in)/ft = 96 in

length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in =  68 in.

96 - 68 = 28 inches left

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