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3 years ago

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Calculate the area of triangle WXY with altitude YZ, given W(2, −1), X(6, 3), Y(7, 0), and Z(5, 2). (6 points) 8 square units 9.

4 square units 7.7 square units 12 square units

2 answers:

RSB [31]3 years ago

6 0

Answer: 8 square units

Step-by-step explanation:

tangare [24]3 years ago

5 0

Answer:8 square units

Step-by-step explanation:Took the test and it was correct

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If EF - 3x - 11, FG = 4x-10, and EG - 28, find the values of x, EF, and FG. The drawing is not to scale.

Gnom [1K]

Answer:

Part 1) $x=7$

Part 2) $EF=10\ units$

Part 3) $FG=18\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

$EG=EF+FG$ ---> by addition segment postulate

we have

$EG=28\ units\\EF=3x-11\\FG=4x-10$

substitute

$28=(3x-11)+(4x-10)$

solve for x

$28=7x-21$

$7x=28+21$

$7x=491$

$x=7$

step 2

Find the value of EF

$EF=(3x-11)$

substitute the value of x

$EF=3(7)-11=10\ units$

step 3

Find the value of FG

$FG=(4x-10)$

substitute the value of x

$FG=4(7)-10=18\ units$

4 0

3 years ago

A 12 foot by 8 foot rug covers the hardwood floor of a room. The rug leaves a uniform

trapecia [35]

Answer: 2(12 × 8)

Step-by-step explanation:

The area of the rug will be gotten by multiplying the length by its width. This will be:

= 12 foot × 8 foot

= 96feet²

Since the area of the room is twice the area of the rug, the equation you will use to solve for x will be:

= 2(12 × 8)

= 2(96)

= 192feet²

4 0

3 years ago

10 increased by the product of p and 2

Nuetrik [128]

10 + 2p

increases by means addition

product means multiplication

3 0

3 years ago

The length of sides of triangular fields are 10m, 24m and 26m. A farmer grows flowers in this field. If 5kg flowers can be obtai

Ostrovityanka [42]

Answer:

Area: 120m²

Flowers: 600kg

Step-by-step explanation:

we can use Heron's formula to solve for the area.

Heron's formula:

Area of triangle = $\sqrt{ s(s-a)(s-b)(s-c)}$

s = 1/2 (a+b+c)

s = 1/2 (10 +24+26)

s = 30

Area of triangle

$=\sqrt{30(30-10)(30-24)(30-26)} \\=120m^{2}$

Since every 1 m² of area can grow 5kg of flowers,

the yield of flowers will be:

120 x 5

=600kg

7 0

3 years ago

suppose that you put $2,500 into retirement account that grows with an interest rate of 5.25 % compounded once each year after h

Jlenok [28]

You will need to use this formula:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = [log(15,000) - log(2,500)] / log (1.0525)
</span>
<span> <span> <span> 4.1760912591 </span> </span> </span> - <span> <span> <span> 3.3979400087 </span> </span> </span> / <span> <span> <span> 0.0222221045 </span> </span> </span> =
<span> <span> <span> 0.7781512504 </span> </span> </span> / <span> <span> <span> 0.0222221045 =
</span></span></span>
<span> <span> <span> 35.0169917705 </span> </span> </span> years
About 35 years

You'll find the formula here: http://www.1728.org/compint2.htm
And a compound interest calculator here: http://www.1728.org/compint.htm
(You'll find both are helpful for this problem).

8 0

3 years ago