Find the distance from A to C


12

74

^74

6

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

Answer:

3 hrs 38.2 min, Candle 2 will be three times the length of candle 1

Step-by-step explanation:

If Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

here,
Dora has three candles, which will burn for 3, 4, and 5 hours,
The combination of the hours of burning,
3 + 4 = 7 hours
4 + 5 = 9 hours
3 + 5 = 8 hours

Thus, if Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2

Answer:

Part A)

The polynomial is:

[tex]A=4(x+8)(x+10)[/tex]

Or, expanded:

[tex]A=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.

Step-by-step explanation:

Part A)

For solely the picture, the width is 16 inches, and the length is 20 inches.

If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.

Likewise, the new length will be (20 + 2x) inches.

The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:

[tex]A=(16+2x)(20+2x)[/tex]

To simplify calculations, we can factor out a two from both factors. Thus:

[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]

Expanded, this will be:

[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two, x = 2. Then the area is:

[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]

The area of the picture including the frame will be 480 square inches.

Answer:

The answer is the second option. x = -5.873 , x = 1.873

Step-by-step explanation:

1. add 11 to both sides of the equation

x^2 + 4x = 11

2. find a value that is equal to the square of half of b

(b/2)^2 = (2)^2

3. add the term to each side of the equation

x^2 + 4x + (2)^2 = 11 + (2)^2

4. simplify the equation

x^2 + 4x + 4 = 15

5. factor the perfect trinomial square into

(x + 2)^2 • (x + 2)^2 = 15

6. solve the equation for x

x = 1.873 , x = -5.873

HOPE THIS HELPS!!

☆☆ plz mark as brainliest ☆☆

Answer:

1.) 150

2.) 10

Step-by-step explanation:

If you look at the chart, above the 25 in the seconds row in the gallons row is 150.

This means that the chart tells you there are 150 gallons for every 25 seconds.

The second question asks about 60 gallons. So, if you look at 60 on the gallons row, and look below it on the seconds row, you see 10.

This means the chart tells you there are 60 gallons for every 10 seconds.

Answer:

5

Step-by-step explanation:

The median of all the answers equal up to 5.

Answer:

a=5cm

Step-by-step explanation:

V=B*H

You will get base if you do this:

B=V:H

B=175:7

B=25

I'm not so good with English, side is probably a,so:

Formula for base: B=a²

Then a=√B

a=√25

a=5cm

I hope this helps.

Answer:

Compound interest

Step-by-step explanation:

The question requires us to determine if the interest earned is a simple or compound interest

Simple interest = amount deposited x time x interest rate

Future value with compounding = A( 1 + r)^n

A = amount deposited

r = interest rate

n = time

We would calculate the simple interest and the future value in year 2

Simple interest in year 2 = $3500 x 0.0375 x 2 = 262.50

Future value in 2 years with a simple interest = 262.50 + 3500 = $3762.50

Future value in year 2 with compounding = 3500 x (1.0375)^2 = $3767.42

The value provided in year 2 with compounding matches that provided in the question. Thus, it is compounding of interest that is done

Answer:

Estimated population of New Hampshire is

A. 35,000

Answer:

11 is the answer

Step-by-step explanation:

8+7-4

15-4

11

on number positive 11 is the answer

its just simple addition and substraction then the result can displayed on number line where 11 comes on number line mark that point

Answer:

2497

Step-by-step explanation:

Answer:

2497

Step-by-step explanation:

53 + 2444

= 0053 + 2444

= 2497

Answer:

20

Answer:

20

Step by step:

v = l × w × h

v = 2 × 2× 5

v = 4 × 5

v = 20

Answer:

-250, 1250

Step-by-step explanation:

The pattern is to multiply by -5.

2,-10, 50, -250, 1250

Answer: think its c

Step-by-step explanation:

I believe the answer is 18%

Answer:

line segment EF EH EG EI

Step-by-step explanation:

Answer:

C) p + 3 < 20

Step-by-step explanation:

Since the max is 20, it has to be < 20

p + 3 < 20

Answer:

1,2

Step-by-step explanation:

Answer:

The slope of the line is (2)

Step-by-step explanation:

Good luck ^_^

Answer:

x < -3/5y+ 30

Step-by-step explanation:

x < -3/5y+ 30 for the first one

addboth sides by 6y then divideboth sides by 10

Answer:

short side = 4

Step-by-step explanation:

area = 1/2BH

18 = 1/2(x - 1)(x + 4)

18 = 1/2(x² + 4x - x - 4)

multiply both sides of the equation by 2:

36 = x² + 3x - 4

x² + 3x - 40 = 0

(x + 8)(x - 5) = 0

x = 5

short side = 5 - 1 = 4

The shortest length of the right angled triangle is 4 cm.

where

b = base

h = height

Therefore,

area = 18 cm²

18 = [tex]\frac{1}{2}[/tex] × (x - 1)(x + 4)

36 = (x - 1)(x + 4)

x² + 4x - x - 4 = 36

x² + 3x - 4 = 36

x² + 3x - 4 - 36 = 0

x² + 3x - 40 = 0

x² - 5x + 8x - 40 = 0

x(x - 5) + 8(x - 5) = 0

(x + 8)(x - 5) = 0

x = -8 or 5

we can only use positive numbers.

Therefore,

x = 5

The shortest sides is definitely one of the 2 legs . The hypotenuse of a triangle is the longest side.

Therefore,

h = x - 1 = 5 - 1 = 4 cm

b = x + 4 = 5 + 4 = 9 cm

learn more on right angled triangle here: https://brainly.com/question/2292567?referrer=searchResults

Answer:

Step-by-step explanation:

salut :

500 000 000= 5× 10^8

650 000= 6,5 ×10^4

58 400 000 000= 5.84 ×10^8

0,000 6= 6×10^-4

0,000 032= 3.2 ×10^-4

0,000 000 072 3= 7.23 × 10^-8

0,000 000 072 3=7,23×10^-7

Answer:

x = 6

Step-by-step explanation:

5x - 7 and 23 are vertical angles and are congruent , then

5x - 7 = 23 ( add 7 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Answer:

one solution, x=2

Step-by-step explanation:

brainliest?

Answer:

Answer is 9/8

Step-by-step explanation:

18/8-9/8=9/8

Answer:

9/8

Step-by-step explanation:

9/4 - 9/8

9/4 x 2 = 18/8 to match denominators

18/8 - 9/8

= 9/8