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3 years ago

Find measure of angle if it is 20 more than 4 times its supplement

Mathematics

1 answer:

xenn [34]3 years ago

7 0

Hello!

Supplementary angles add up to 180. This gives us the system of equations below.

a+b=180

b= 4a+20

Now we plug our b value into the first equation and solve for a.

a+4a+20=180

We combine like terms.

5a+20=180

We subtract 20 from both sides.

5a=160

We divide both sides by 5.

a=32

Now we want to find our angle b. We can plug our a value into the equation.

b=4(32)+20

128+20=148

Therefore, our angle measure is 148°.

I hope this helps!

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Solve the System of Equations

soldi70 [24.7K]

Answer:

Equations: $x+y=80\,,\,2x+4y=216\,\,$

number of chickens = 52

number of goats = 28

Step-by-step explanation:

Given: A small ranch has chickens and goats

Total number of heads = 80

Total number of legs = 216

To find: number of chickens and goats

To draw: the graph

Solution:

Let x denotes number of chickens and y denotes number of goats.

According to the question,

$x+y=80\,\,(i)\\2x+4y=216\,\,(ii)$

From (i), put $x=80-y$ in (ii)

$2(80-y)+4y=216\\160-2y+4y=216\\2y=216-180\\2y=56\\y=\frac{56}{2}=28$

Put $y=28$ in equation (i)

$x+28=80\\x=80-28=52$

So,

number of chickens = 52

number of goats = 28

Download pptx

6 0

4 years ago

Write the set of real numbers in interval notation. {x | x ≥ −8}

Vikentia [17]

The answer is: $[-8, \infty)$

Which can be written as: [-8, infinity)

This is the interval from -8 to infinity. So -8 is our left most point on the number line and infinity being our right most. There is no boundary on the right side.

Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set".

Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers.

8 0

3 years ago

I'd really appreciate it if someone could help me with these square problems :/

adelina 88 [10]

I would but I don’t want to ;/

3 0

3 years ago

Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the

Dominik [7]

G=37

Angle ACD and angle DCB are a linear pair. Meaning they are supplementary.

ACD=90 degrees

180-90=90

90 degrees equals the angle of DCB.

90-53=37

So g=37

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3 years ago

A central angle in this diagram is:

Mrrafil [7]

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3 years ago