Angles A and B together create a 90° angle. ∠A = 4x −10 and ∠B = 2x − 20. Find the angle measures (what will

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

A+ B = 90

4x-10 + 2x-10 = 90

Combine like terms

6x -20 = 90

Add 20 to each side

6x -20+20 = 90+20

6x = 110

Divide by 6

6x/6 = 110/6

x = 55/3

A = 4x-10  = 4(55/3)  -10

A=63 1/3

B = 2x-10 = 2(55/3) -10  

     26 2/3


Related Questions

Write 81 as a power in many ways as you can.

Answers

Answer:

9^2, 3^4

Step-by-step explanation:

9 x 9 = 81

3 x 3 = 9 x 3 = 27 x 3 = 81

If a =(9,18) and b=(1,12) what is the length of ab

Answers

Answer:

AB = 10

Step-by-step explanation:

Use the distance formula: √(12 - 18)^2 + (1 - 9)^2

√36 + 64

10

Answer:

10 units

Step-by-step explanation:

Use the distance formula. Substitute the values, (1-9)²+(12-18)²=100. The square root of 100 is 10.

The question is on a screenshot

Answers

Answer:

[tex]x=\frac{4}{15}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}x=\frac{1}{5}\\\mathrm{Multiply\:both\:sides\:by\:}4\\Simplify\\4\cdot \frac{3}{4}x=\frac{1\cdot \:4}{5}\\\mathrm{Simplify\:}4\cdot \frac{3}{4}x:\quad 3x\\\mathrm{Simplify\:}\frac{1\cdot \:4}{5}:\quad \frac{4}{5}\\3x=\frac{4}{5}\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\Simplify\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\\mathrm{Simplify\:}\frac{3x}{3}:\quad x\\\mathrm{Simplify\:}\frac{\frac{4}{5}}{3}:\quad \frac{4}{15}\\x=\frac{4}{15}[/tex]

Answer:

[tex] \frac{4}{15} [/tex]

2nd answer is correct

step by step explanation

[tex] \frac{3}{4} \times x = \frac{1}{5} \\ x = \frac{1}{5} \times \frac{4}{3} \\ x = \frac{4}{15} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

In ΔWXY, the measure of ∠Y=90°, WX = 67 feet, and XY = 41 feet. Find the measure of ∠X to the nearest degree.

Answers

Answer:

52 degrees

Step-by-step explanation:

Which graph shows a solution to the following system?
{ x -y ≥ -1
{ x+y ≤ 0​

Answers

Answer:

That's the answer attached, whatever answer matches up with it is correct.

Step-by-step explanation:

What is the area of the circle below, the circle has a radius 20.5 ft.
84 feet
92 feet
O 1319.59 ftsq
659.79 ftsa
O 128.74
O none

Answers

Answer:

It is approximately 1320.25

Andrés y Ana María celebran hoy su aniversario de bodas con sus tres hijos. Para ello han decidido preparar una torta de nueces cuyos ingredientes son:

Answers

Answer:

1 taza de harina

1 taza de harina1 taza de nueces molidas

1 taza de harina1 taza de nueces molidas1 taza de azúcar

1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear

1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos

1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos100 gramos de mantequilla

Which prisms are similar to a prism with a length of 10 feet, a width of 6 feet, and a height of 12 feet?

Answers

Answer:

2

Step-by-step explanation:

find the point that lies on the line described by the equation below. y - 3 = 3 (x - 9)​

Answers

Answer: D

Step-by-step explanation: (9,3) is the given point in the equation where y-y1=m(x-x1)

Answer:

D. (9, 3)

Step-by-step explanation:

You can solve figure this out by plugging in the coordinates. The best guess would be that the answer is "D," and we can check:

y - 3 = 3(x - 9)

3 - 3 = 3(9 - 9)

0 = 3(0)

0 = 0

Since the answers match, answer "D," is correct.

Lauren’s book is 180 pages long. She has read 80% of it. How many pages has she read.

Answers

Answer: 144 pages

Step-by-step explanation: if you take 180 and multiple it by the decimal of 80% which would be .8 you get 144

Answer:

144 pages

Step-by-step explanation:

You have to do 180 times 80/100.

that will get you to 144 pages.

In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?

Answers

Answer:

tan ∠L = 65/72

Step-by-step explanation:

The tangent ratio is:

tan of angle x = opposite/adjacent

Looking from the perspective of angle L, find the opposite side.

This side is MN, measuring 65 units.

opposite = 65

Now let's find the adjacent side.

This side is LN, measuring 72 units.

adjacent = 72

Therefore, the tangent ratio of angle L is 65/72.

Answer:

65/72

Step-by-step explanation:

What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 8?

Answers

Answer:

n/2 - 6 + 10

8/2 - 6 + 10

4 - 6 + 10

= 8

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

I just took the test, sorry if I didn't come on time.

In a group of Year 9 students, the ratio of boys to girls is 9 : 7. There are 4 more boys than girls in this group. How many students are in this group altogether?

Answers

Answer: 32

Step-by-step explanation:

There are 18 boys and 14 girls (4 more boys than girls.  32 students total.

If the ratio of boys to girls is 9 : 7, there are 32 students in this Year 9 group altogether.

Let's denote the number of boys as "9x" and the number of girls as "7x" since the ratio of boys to girls is 9:7. We are also given that there are 4 more boys than girls, so we can set up an equation:

Number of boys = Number of girls + 4

9x = 7x + 4

Now, we can solve for "x":

9x - 7x = 4

2x = 4

x = 2

Now that we have the value of "x," we can find the number of boys and girls:

Number of boys = 9x = 9 * 2 = 18

Number of girls = 7x = 7 * 2 = 14

Finally, to find the total number of students in the group, we add the number of boys and girls:

Total number of students = 18 (boys) + 14 (girls) = 32.

The ratio of boys to girls is 9:7, and there are 4 more boys than girls.

To learn more about ratio click on,

https://brainly.com/question/30925663

#SPJ2

Wegnerkolmp2741o Plz answer

The best shooters in the NBA make about 90% of their free throws (shots from the line). If a player took 20 shots, what number of those shots would you expect to go in?

Answers

Answer:

18 shots

Step-by-step explanation:

By criss cross method

100% -> 20 shots

90% - >?

[tex]answer = \frac{90 \times 20}{100} = 18[/tex]

Hope this helps...

Answer:

18

Step-by-step explanation:

Take the number of shots times the probability that they will go int

20 * 90%

Change to decimal form

20 *.90

18

18 of the shots would be expected to go in

Which algebraic expression represent this phase

Answers

The answer would be A because product means multiplication.

Select one or more expressions that together represent all solutions to the equation. Your answer should
be in radians
Assume n is any integer
13 sin(2x) - 3 = 3

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

0.24+n*pi and 1.33+n*pi

Step-by-step explanation:

First you add three to both sides to get:

13sin(2x)=6

Then you divide by thirteen to both sides to get:

sin(2x)= 6/13

Next, you use a calculator to perform the inverse of sine to both sides, which is arcsin, and cancels out the sin.

arcsin(sin(2x))= arcsin(6/13) -> 2x= arcsin(6/13)

Arcsin(6/13)= approximately 0.48. But besides 0.48, there is another solution, because the y value of 6/13 can have two possible x values, both in quadrant one and two. We found the quadrant one value. The quadrant two value is just pi-0.48=2.66.

So, if we add two pi (360 degrees) to both of these solutions for n amount of times, then on a graph, we would end up on the same point every time. Each of those revolutions around the graph is one solution. These are the solutions:

2x= 0.48+n*2pi ->       0.24+n*pi

2x=2.66+n*2pi ->          1.33+n*pi

how would you change x + 3y = 18 -3x - 12y = -75 to eliminate x

Answers

Answer:

Multiply the equation  by 3 making positive 3X which will cancel out with negative 3X

Aisha reduced the size of her square driveway. She made one side 10 feet shorter and the other side 15 feet shorter. The smaller rectangular driveway will have an area of no more than 800 square feet.

Answers

Complete Question:

Aisha reduced the size of her square driveway. she made one side 10 feet shorter and the other side 15 feet shorter. the smaller rectangular driveway will have an area of no more than 800 square feet. write an inequality to represent the area of the smaller driveway.

Answer:

The inequality that represents the area of the smaller drive way is [tex]x(x-25) \leq 650[/tex]

Step-by-step explanation:

Let the original length of the sides of Aisha's square driveway be = x

She made one side 10 ft short, i.e. (x - 10) ft

She made the other side 15 ft short, i.e. (x - 15) ft

Since the sides are no longer equal, the driveway is now a rectangle

The question states that the smaller rectangular driveway will have an area of no more than 800 square feet

Area of a rectangle = length * Breadth

Area = (x - 10)*(x - 15)

[tex]Area = x^{2} - 15x - 10x + 150\\Area = x^{2} - 25x + 150[/tex]

Area ≤ 800

[tex]x^{2} - 25x + 150 \leq 800\\ x^{2} - 25x - 650\leq 0\\x(x-25) \leq 650[/tex]

Solving the above, x = 40.9 or -15.9

Since the length of a square cannot be negative, x = 40.9 ft

Answer:

(x-10)·(x-15)≤800

Step-by-step explanation:

imagine math

Anyone know the answer?

Answers

Answer:

A≈18.38

Step-by-step explanation:

Solve for area

Shape: Parallelogram

Formula: Base*Height

5.25*3.5=18.375

Round answer

Hope this helps.

A rectangular pyramid has a volume of 1.512in, a height of 12 in., and a base length of 21 in. What is the width of its buse?
2 in.
6 in.
12 in
18 in.

Answers

The answer this 6 in because 12 x 21 x 6 = 1512in

If y varies directly as the square root of x and y = 8 when x = 36, find the value of y when x = 144. y =

Answers

Answer:

y=32

Step-by-step explanation:

cross multiply

36/4 *144/y

144*8/36

=1152/36

y=32

Answer:

D. -180

Step-by-step explanation:

Evaluate each series

Answers

Answer:

solution is 147

work is shown

Solve the system of equations

-10x+3y=5
x=y-4

x=
y=

Answers

Answer:

So the answer is y=5 and x=1

Please help me in this question.

Answers

Answer:

Step-by-step explanation:

(i) Area of ABCD = (base1+base2)*height/2

                           = (6+12)*4/2 = 36 cm2

(ii) Volume = Area of ABCD * length = 36 * 25 = 900 cm3

(iii) Total SA = Area of ABCD *2 + 25*5*2 + 6*25 + 12*25

                    = 72                         + 250      + 150   + 300

                    = 772cm2

the sum of four consecutive integers is 34. find the least of the numbers.
a 6
b 7
c 8
d 5​

Answers

Answer:

7 and 8

Step-by-step explanation:

the no. are 7,8,9,10

A

n+1+n+2+n+3+n+4=34
4n+10=34
4n=24
n=6

Joaquin used 1-3/6 cups of apple juice and 1-4/6 cups of orange juice in a recipe for punch. How much juice did Joaquin use?Solve this problem any way you choose.

Answers

Answer:

The answer is 3 and 1/6 cups.

Step-by-step explanation:

If Joaquin used 1 and 3/6 cups of apple juice and 1 and 4/6 cups of orange juice for the punch, there is a total of 2 cups and the fractions can be added as their denominators are the same.

3/6 + 4/6 = 7/6 cups

So the total juice in the punch is 3 and 1/6 cups.

I hope this answer helps.

I NEED HELP PLZ ANSWER CORRECTLY!!!!!!
(a,b) (less, greater)

Answers

Answer: The diameter of Pool A is 7.32 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.

Step-by-step explanation:

The diameter of a circle is double its radius.

Pool A has a radius of 12 feet - double that would be 24 feet, its diameter.

Next, convert this to meters:

[tex]24 * \frac{0.305}{1} = 7.32[/tex]

The diameter of pool A is 7.32 meters.

The diameter of pool B is 7.5 meters.

The diameter of pool B is greater.

You can calculate the circumference of a circle by using this formula:

[tex]C = 2\pi r[/tex], where r is the radius.

Divide 7.5 by 2 to get your radius of Pool B, which is 3.75, and solve for C:

[tex]C = 7.5\pi \\\\C = 23.561[/tex]

Rounding to the nearest hundredth, the circumference for pool B is 23.56 meters.

Do the same thing for pool A:

[tex]C = 7.32\pi \\\\C = 22.996[/tex]

Circumference for pool A rounds to 23 meters.

Answer:

the diameter of pool a is 24. so, the diameter of pool b, is greater, and idk the rest

a(b-x)=cx
make x the subject of formular

Answers

Answer:

×=

[tex] \frac{ab}{?c + a} [/tex]

Answer:

x = [tex]\frac{ab}{c+a}[/tex]

Step-by-step explanation:

a(b-x) = cx

ab - ax = cx

ab = cx + ax

ab = x (c + a)

divide both sides by (c + a) for x to stand alone

x  = ab/ c + a

what is the circumference of a circle witha radius of 4 in​

Answers

25.12 in or 8π

Step-by-step explanation:

Since you didn't specify whether or not to leave pi or to make it be 3.14, I did both.

The formula for the circumference of a circle is...

[tex]C=2\pi r[/tex]

So...

[tex]C=2*3.14*4[/tex]

C = 25.12 in

If you want to leave pi...

[tex]C=2*\pi *4[/tex]

C =

what is the sum of the geometric series?

a. 21/2
b. 21/8
c. 21
d. 10

Answers

Answer:

A

Step-by-step explanation:

Other Questions
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