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kow [346]
3 years ago
9

Three interior angles of a quardilateral have measures of 100 degress, 120 degress, and 80 degress. Find the foourth angle measu

re.
Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

60 degrees

Step-by-step explanation:

100+120+80+x=360

300+x=360

x=60

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Fidn the points of intersection
Sedbober [7]

EQ. 1: x + y = 8

EQ. 2: 4x-y = 7

Rewrite EQ. 1 as EQ. 3: x = 8-y

Replace x in EQ.2 with EQ. 3:

4(8-y) - y = 7

Use the distributive property:

32 - 4y - y = 7

Combine like terms:

32 - 5y = 7

Subtract 32 from each side:

-5y = -25

Divide both sides by -5

y = -25 / -5

y = 5


Now replace y with 5 in EQ. 3 to solve for X:


x = 8-5

x = 3


The point of intersection is X = 3, Y = 5, which is written as (3,5)

8 0
3 years ago
How many liters each of a 25% acid solution and a 50% acid solution must be used to produce 80 liters of a 40% acid solution?
alina1380 [7]

Answer:

  • 32 and 48 liters

Step-by-step explanation:

Let 25% solution is x liters, then 50% solution is (80 - x) liters.

<u>Acid content is going to be same:</u>

  • 0.25x + 0.5(80 - x) = 80*0.4
  • 0.25x - 0.5x + 40 = 32
  • 0.25x = 8
  • x = 8/0.25
  • x = 32 liters

So 32 liters of 25% solution and 80 - 32 = 48 liters of 50% solution

4 0
3 years ago
Explain whether a bar graph double bar graph or circle graph is the best way to display the following set of data
erica [24]

I would say a circle graph would be best to use

8 0
3 years ago
Find the missing length. Give all answers in the simplest radical form.​
Solnce55 [7]

Answer:

x = 2\sqrt{74}

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

x² = 14² + 10² = 196 + 100 = 296

Take the square root of both sides

x = \sqrt{296} = 2\sqrt{74}

8 0
2 years ago
A rocket is launched upward with a velocity of 288 feet per second from the top of a 60-foot building. What is the maximum heigh
mylen [45]

Answer:

288 × 60=17280 feet

Step-by-step explanation:

3 0
3 years ago
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