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3 years ago

Which choice is the solution?

Mathematics

1 answer:

kifflom [539]3 years ago

8 0

The solution for your answer is 12

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To shape service similar create and solve a proportion to find the value of X then find the measure of the unknown side

cupoosta [38]

Answer:

x = 10

6x - 6 = 54

Step-by-step explanation:

The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).

So our proportion:

63/(6x-6) = 49/42

Cross multiply

63*42 = 49*(6x-6)

2646 = 294x-294

2940 = 294x

x = 10

Double-check:

63/(6*10 - 6) = 49/42

63/(60 - 6) = 49/42

63/54 = 49/42

7/6 = 7/6

6x - 6 = 6(10) - 6 = 60 - 6 = 54

3 0

3 years ago

Endpoints of segment MN have coordinates (0, −3), (−2, −4). Endpoints of segment AB have coordinates (2, 5), (4, k).

tatiyna

Answer:

The value of k is 6

Step-by-step explanation:

we know that

If two segments are parallel, then their slopes are the same

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope MN

we have

M(0, −3), N(−2, −4)

substitute

$m=\frac{-4+3}{-2-0}$

$m=\frac{-1}{-2}$

$m=0.5$

step 2

Find the slope AB

A(2, 5), B(4, k)

substitute in the formula

$m=\frac{k-5}{4-2}$

$m=\frac{k-5}{2}$

Remember that the slopes MN and AB must be equal

$0.5=\frac{k-5}{2}$

Solve for k

$1=k-5$

$k=1+5=6$

therefore

The value of k is 6

3 0

4 years ago

Please help I need this answer

Over [174]

Answer: He bought 9 shirts

Step-by-step explanation: hen you take 50% off of $22.98 you get $11.490. Then you divide the total cost($103.41) by $11.490, and then you get 9.

7 0

3 years ago

1.) The island shown has a population of 12,175 people. Find the population

miv72 [106K]

Answer:

Population density = $148.22\ \text{people per square kilometer}$

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km$

Area of triangle is given by :

$A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2$

$\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}$

Hence, the population density is $148.22\ \text{people per square kilometer}$ .

7 0

3 years ago

Solve for p.

Arte-miy333 [17]

2(p+1)=24
divide both sides by two
p+1=12
subtract 1 from both sides
p=11

4 0

4 years ago