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umka21 [38]
2 years ago
11

???????????????!!!!!!!!

Mathematics
1 answer:
Zigmanuir [339]2 years ago
3 0

Answer:

m ∠ L = 54°

Step-by-step explanation:

the angles of triangle are 2x, 3x & 5x

the sum of angles are 180°

2x+3x+5x = 180

10x = 180

x = 180/10 = 18°

m ∠ L = 3x° = 3(18)° = 54°

m ∠ L = 54°

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An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):
AURORKA [14]

Answer:

2\ gal

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

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

we have

A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)

step 1

Find the distance AB

we have

A(18,20),B(4,20)

substitute in the formula

d=\sqrt{(20-20)^{2}+(4-18)^{2}}

d=\sqrt{(0)^{2}+(-14)^{2}}

AB=14\ ft

step 2

Find the distance BC

we have

B(4,20),C(4,4)

substitute in the formula

d=\sqrt{(4-20)^{2}+(4-4)^{2}}

d=\sqrt{(-16)^{2}+(0)^{2}}

BC=16\ ft

step 3

Find the distance DE

we have

D(16.2),E(22.10)

substitute in the formula

d=\sqrt{(10-2)^{2}+(22-16)^{2}}

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

d=\sqrt{100}

DE=10\ ft

step 4

Find the distance AE

we have

A(18,20),E(22.10)

substitute in the formula

d=\sqrt{(10-20)^{2}+(22-18)^{2}}

d=\sqrt{(-10)^{2}+(4)^{2}}

d=\sqrt{116}

AE=10.77\ ft

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

so

A=(AB+BC+DE+AE)h

substitute the given values

The height of the walls is 10 ft

A=(14+16+10+10.77)10

A=(50.77)10

A=507.7\ ft^2

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal

Round up

x=2\ gal

5 0
3 years ago
Explain how to erige 3 times 3/8 as the product of a whole Number And a unit fraction
Nookie1986 [14]
First the 8 stays the same the multiply it by 3 then add 3 and if you have an improper fraction you put it in simplest form. Equation-3×8 =24+3=27 so 27/8. Put in simplest form.
6 0
3 years ago
The two lines below intersect as shown What is the value of x?
Rufina [12.5K]

Answer:

x = 6

Step-by-step explanation:

because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other

Knowing the angles are equal to each other you can make the equation

2x + 29 = 9x - 13

then you solve for x in this equation

2x + 29 = 9x - 13

(subtract 2x from both sides)

29 = 7x - 13

(add 13 to both sides)

42 = 7x

(divide by 7 on both sides)

6 = x

x = 6

6 0
3 years ago
John has 8/9 of a gallon of apple cider vinegar. If it takes 1/7 of a gallon of vinegar to make a batch of collard greens, how m
kumpel [21]
1/7 gallon  = 1 batch 

<em>[multiply by 7 through]</em>
1 gallon = 7 batches

<em>[multiply by 8/9 through]</em>
8/9 gallon = 7 x 8/9
8/9 gallon = 6 2/9 

<em>[Good enough to make 6 batches, not enough to make 7 batches]</em>

So he can make 6 batches of collard green


5 0
2 years ago
Which of the following expressions is incorrect?
iragen [17]
The third expression is wrong
3 0
2 years ago
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