Which of the following statements is true?

Answer:

[tex]x=\frac{27}{2}\:\text{or}\:13.5[/tex]

Step-by-step explanation:

Both triangles are shown are similar. Therefore, the ratio of their sides will be maintained. We can then set up the following proportion:

[tex]\frac{2}{11}=\frac{3}{3+x},\\2(3+x)=33,\\(3+x)=16.5,\\x=\boxed{13.5\text{ or }\frac{27}{2}}[/tex]

Answer: See explanation

Step-by-step explanation:

Population in 2000 = 15,982,378

Land area = 54,252 square miles

The population density in 2000 will be:

= Population / Land area

= 15982378 / 54,252

= 294.60people per square miles

Since the population increased by 26.8% in 2015, the population in 2015 will be:

= 15,982,378 × (100% + 26.8%)

= 15,982,378 × 126.8%

= 15,982,378 × 1.268

= 20,265655

The population density in 2015 will be:

= Population / Land area

= 20,265655 / 54,252

= 373.55 people per square miles

The increase in population density from 2000 to 2015 will be:

= 373.55 - 294.60

= 78.95

Answer:

A, 4.5

Step-by-step explanation:

6^2 + n^2 = 7.25^2

36 + n^2 = 56.25

56.25 - 36 = 20.25

√20.25 = 4.5

Answer:

59 degrees. (A)

Step-by-step explanation:

Corresponding angles are equal.

Answer:

A) 59°

Step-by-step explanation:

Since both lines are parallel to the other line, the angle has to be the exact same as the one shown above it.

Answer:

1 1/4 pounds

Step-by-step explanation:

1/2 ÷ 2/5 = 5/4

Answer:

The trapezoid is a quadrilateral. The 4 angles of a quadrilateral all equal to 360 degrees. Now you know that this is an isosceles trapezoid since the two sides are congruent. [360-(110*2)] / 2= [360-220] / 2= 140/2=70. So the answer is 70 degrees.

Step-by-step explanation:

Answer:

7

Step-by-step explanation

i did this

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

BC is tangent to the circle at point B.

Answer:

4x−5y=−10 hopefully this helps

Answer:

2x+3y = 12

Step-by-step explanation:

multiply 3 and 4

multiply -2 by -x

multiply y and 3

Summary:

2x+2y = 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The length of each side of the base is 3 inches. Thus, the correct option is D.

In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.

The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches.

The length of each side of the base is calculated as,

75 = 5 x 1/2 x a x 10

75 = 25a

a = 3 inches

Thus, the correct option is D.

More about the pyramid link is given below.

https://brainly.com/question/17615619

#SPJ2

Answer:

57

Step-by-step explanation:

10% of 570 = 57 (dividing by 10). Times that by 3, which is 171. Now divide 171 by 3, equals 57 (the answer).

Answer:

48% of 75 is 36 so then 60% of 45 is 27, so then we do simple subtraction and do 36-27 which gives us 9

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

A because it requires experimental and control groups

Answer:

15

Step-by-step explanation:

Hope this helps

add 12 and 3 and you get 15

multiply 8 and 5 and you get 40

subtract 40 from 15 you get 24

yeeeeeeeeeeeeeeee

Answer:

1400 girls

Step-by-step explanation:

68% of 14,000 = 9,520

22% of 14,000= 3,080

9,520 + 3,080 =12600

14,000 - 12,600 = 1400 girls

Answer:

144.44%

Step-by-step explanation:

780/540 = 1.44444 * 100 (for each percent) = 144.44 %

Answer:

69.23

Step-by-step explanation:

Hope This helped!

Answer:

DE, BA

Step-by-step explanation:

These two pair of angles meet at the point G, they touch, therefore adjacent.

Answer:

9)  1/48

11)  1/24

13)  5/16

14)  1/8

Step-by-step explanation:

9) P(A and 5) = 1/8 × 1/6

11) P(J and LT 3) = 1/8 x 2/6

13) P (consonant and odd) = 5/8 x 1/2

14) P ('M' or 'T' and GT 3) = [(1/8+1/8) × 1/2]  = 2/8 x 1/2

Answer:

Step-by-step explanation:

Answer:

9 worms are longer than 3 inches

Step-by-step explanation:

you can just count how many are in in the rows after 3 and that is your answer

Answer:

1,000

Step-by-step explanation:

i to the test djdjsjsjsj

Answer:

it's black

Step-by-step explanation:

I can't see the question.

Answer:3/20

Step-by-step explanation:

Heads=Boy

Tails=Girl

If the first 3 students are boys, all 3 coins must be heads.

Because in 3 of these experiments, the coins all land on heads, and there are 20 experiments completed, 3 out of the 20 experiments are 3 boys; 3/20.

Answer:

a is the answer

Step-by-step explanation:

y = ( x^2 +2x+ 5 )^6,

let u be equal to x^2 + 2x + 5

y = u^6 '

dy|du = 6u^5, du|dx = 2x + 2

dy|dx = dy|du × du|dx = 6u^5 ×( 2x + 2 )

= 2( x + 1) × 6u^5 = 12 ( x + 1 )( x^2 + 2x +5)^5

Answer:

M=2/3

m=1/2

Step-by-step explanation:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.