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3 years ago

5

Which value for x makes the sentence true?

1 answer:

Sedbober [7]3 years ago

7 0

Answer:

D) -5

Step-by-step explanation:

10x-5=-55

10x=-55+5

10x=-50

x=-50/10

x=-5

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In-s [12.5K]

Answer:

The perimeter is 240

Step-by-step explanation:

The side length is 60 and 60*4=240

hope this help!

7 0

2 years ago

The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

4 0

3 years ago

Read 2 more answers

Problem-solving Practice

kotykmax [81]

First, what's 3 to the power of 8?
Then what's 3 to the power of 10

Now subtract them by each other for your answer

6 0

2 years ago

Read 2 more answers

There are 56 students going on a field trip to the science center. The students tour the center in groups of 8 how many groups o

S_A_V [24]

Answer:

There would be 7 groups of students because 56 divided by 8 students gives you 7 groups.

Step-by-step explanation:

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3 years ago

An employee earned $3,300 working for an employer in the current year. the current rate for fica social security is 6.2% payable

spin [16.1K]

Employer's Total FICA Tax = $3,300 * (0.062 + 0.0145) = $252.45

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3 years ago