Solving Linear Equations: Variables on Both Sides I really need this please!

Answer:

x = 46

Step-by-step explanation:

Since the angle that is not marked is a vertical angle, is must be the same in each triangle

The sum of each triangle is 180, set them equal and subtract the same angle from each side, this leaves the equation

53+85 = x+92

138 = x+92

138-92 =x

46 =x

Answer:

338

Step-by-step explanation:

10,140x.08=811.20 annual interest

811.20/360 x 150(5 months)=338

Answer:

(100,300)

Step-by-step explanation:

Just did it and got it right.

The answer is 'Right'.

Step-by-step explanation:

Sum of angles in a triangle = 180°

Angle C = 180 - 58 - 32

= 90°

90° is defined as a right angle.

Therefore, triangle ABC is classified as a right-angled triangle.

Answer:

The equation of the circle is [tex](x - 2)^2 + (y - 7)^2 = 21[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle, with center [tex](x_0,y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Diameter at the points (7,8) and (-3,6).

The diameter is the distance between these two points, so:

[tex]D = \sqrt{(-3-7)^2+(6-8)^2} = \sqrt{104}[/tex]

Radius is half the diameter, so:

[tex]r = \frac{\sqrt{104}}{2} = \frac{\sqrt{104}}{\sqrt{4}} = \sqrt{\frac{104}{4}} = \sqrt{21}[/tex]

So

[tex]r^2 = (\sqrt{21})^2 = 21[/tex]

Center:

Midpoint of the diameter, which is the mean of the coordinates. So

[tex]x_0 = \frac{7 - 3}{2} = \frac{4}{2} = 2[/tex]

[tex]y_0 = \frac{8 + 6}{2} = \frac{14}{2} = 7[/tex]

Then

[tex](x - 2)^2 + (y - 7)^2 = 21[/tex]

Answer:

Arithmetic Finance.

Compound interest

Step-by-step explanation:

when you're given the year sequence, principal and rate.

Answer:

Step-by-step explanation:

A = P ( 1 + r)^ n

This formula is used to find the Amount in Compound interest.

P --- Principal - the value we are depositing or taking loan

r - rate of interest

n --- number of years

A- amount that we get after n years or the loan to paid after n years

Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*5^2

=3.14*25

=78.5 ft^2

Answer: 0.85 hope this helps

Step-by-step explanation: plz mark brainlest

Answer:

850 boxes per hour hope that helps

Answer: 250 boxes of cereal per hour

Work: All i did was divide the 5950 boxes by the 7 hours. After that, I got the quotient 250.

Answer:

33.33 repeating percent.

Step-by-step explanation:

So using the 20 percent, we can guess there will be 2 bulbs that are defective in the sample. So 2/10. But we are guessing there will be 6;6/10. We alreadly know the proablity of that is low. To be exact 2/6 (as they are both over ten we can get rid of that) or 1/3, or 33.333 repeating percent.

Hope this helps!

36

pemdas rule

paranthesis first

8 ÷ 2 + 32

then division

4 + 32

then addition

36

Answer:

suppose

h is hypotenuse

l is longer leg

s is shorter leg

Step-by-step explanation:

l-s=5

l+5-10=s

now solve by linear equation

Answer:

The game ended at 1:24 p.m.

Step-by-step explanation:

Answer:inconsistent

Step-by-step explanation:

there is no explanation its just vocab

Answer:

700,000 + 2,000 + 1

Step-by-step explanation:

Answer:

[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]

Step-by-step explanation:

Required

Exact value of [tex]\cos(30)[/tex]

[tex]\cos(30)[/tex] is calculated from an equilateral triangle, divided into with the following dimensions

[tex]Hypotenuse = 6[/tex]

[tex]Adjacent = 3[/tex]

[tex]Opposite = 3\sqrt 3[/tex]

So:

[tex]\cos(30) = \frac{3\sqrt3}{6}[/tex]

[tex]\cos(30) = \frac{\sqrt3}{2}[/tex]

Answer:

the second one

Step-by-step explanation:

y is postitive when x <  -1 and x > 3, but y is decreasing only when x < 1 so the case where both are true is when x < -1   option 2

Answer:

45 minutes

Step-by-step explanation:

60 minutes in one hour divided by four will give us 1/4

60/4=15

15*3= 45

45=3/4 of an hour

Answer:

you would pay $11.04

Step-by-step explanation:

$12 x .08= .96

$12 - 0.96 = $11.04

Answer:

11.04

Step-by-step explanation:

So, a ticket cost 12$.

We need to find the price when it of 8% off, whihc is tecnically 92% of the orginal price.

Putting this into decimal form:

0.92

So to find this price, we need to multiply the orginal price by the percentage:

12*0.92

0.02*12 is 2*24 adding 2 decimals which equals 0.24

0.9*12 is 12*9 adding 1 deecimal which equals 10.8

Add them together: 0.24+10.8 = 11.04

So 11.04 is our new cost.

Hope this helps!

Answer:

2

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

If x=4.5 when y is 9, x is always half of  y. x^1 /y^1 = x^2/ y^2

is 1/2 = 1/4

Answer:

57.6 Pounds

Step-by-step explanation:

Weight on Earth = 160 pound

Weight on Mars = (9/25)*160 pound

= 57.6 pounds

Answer:

The answer is A, the CPI is 25.50, and the rate of inflation is 2%.

Step-by-step explanation:

I took the test and I know the correct answer. :)

Answer:

E) 102 and 2%

Step-by-step explanation:

9514 1404 393

Answer:

  384 square yards

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW . . . . . where L and W stand for Length and Width

Using the given dimensions, you find the area to be ...

  A = (24 yd)(16 yd) = 24×16 yd² = 384 yd²

The area of the figure is 384 square yards.

Answer:

1,848

Step-by-step explanation:

Find the arithmetic pattern:

*Arithmetic means addition or subtraction*

To get from 8 to 14, we must add 6.

To get from 14 to 20, we must add 6.

The arithmetic pattern is 6.

List the rest of the terms (24 terms total):

8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 104, 110, 116, 122, 128, 134, 140, 146

Formula:

Sn = n (a1 + an/2)

a1 = first term

an = last term

n = number of terms

Sn = 24 (8 + 146/2)

Sn = 24 (154/2)

Sn = 24 (77)

Sn = 1,848

Answer:

1848

Step-by-step explanation:

a=8

d=14-8=6

n=24

[tex]S_{n}=\frac{n}{2} [2a+(n-1)d]\\S_{24}=\frac{24}{2} [2 \times 8+(24-1)6]\\=12[16+138]\\=12 \times 154\\=1848[/tex]

Answer:

10

Step-by-step explanation:

ABC is similar to RST,

so BC is corresponding to ST, and AC is corresponding to RT

BC=12 and ST=8

so the scale factor from RST to ABC is 1.5 and the scale factor from ABC to RST is 2/3 because 12*(2/3) is 8, and 8*1.5 is 12.

now apply this to AC to find RT

AC=15

15*(2/3)=10

10*1.5=15

RT =10

Answer:

The answer is C

Answer:

Step-by-step explanation:

the answer is 15:5 compares wins to losses and 15:22 compares wins to ties. HOPE THIS HELPS

Answer:

628.3 cm

Step-by-step explanation:

The window has a semicircle shape = half of a circle

Perimeter of the window = ½(πr²)

Radius (r) = 20 cm

Plug in the value

Perimeter of the window = ½(π*20²)

= ½(π*400)

Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)