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Mkey [24]
4 years ago
14

Four angles of a pentagon have measures of 85°, 90°, 95°, and 110°. The smallest of all the exterior angles measures is

Mathematics
1 answer:
snow_tiger [21]4 years ago
5 0

Answer:

20°

Step-by-step explanation:

A pentagon's interior has a total of 540°. So, you must figure out the fifth angle.

Use the equation:

540°-85°-90°-95°-110°= fifth interior angle

You should get that the fifth interior angle equals 160°.

The <em>largest </em>interior angle will have the <em>smallest </em>exterior angle. In this case, it is the fifth interior angle, 160°.

An exterior angle added to its interior angle equals 180°.

So use the equation:

180°-160°=exterior angle.

You should get that the exterior angle is 20°.

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Maria used one bag of flour. She baked
Vitek1552 [10]

Answer:

Answer is 11.

Step-by-step explanation:

Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2

Maria makes the remaing 48 muffins of the flour left so,

One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2

Add both of them

9/2+13/2=11

4 0
3 years ago
Determine whether or not the given value is a solution for the equation. Answer Yes or No
igor_vitrenko [27]
Y=24 is a solution for the equation.

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5 0
3 years ago
Find the value of the variable using these steps.
mash [69]

Step-by-step explanation:

0.4 x + 3.9 = 5.7

hope 0.4 x = 5.78 - 3.9

0.4x = 1.88

x = 1.88/0.4

x = 4.7

3 0
3 years ago
Read 2 more answers
Can you help me with this problem please
Over [174]

Remark

I think you want us to do both 3 and 4


Three

QR is 4 points going left from the y axis + 2 points going right from the y axis.

QR = 6 units long.


RT is 4 units above the x axis and 3 units below the x axis

RT = 7 units long


TS = 3 units. For this one you just go from T to S. The graph really helps you. You just need to count.


Problem 4

You need to find the area of the combined figure. You could do it as a trapezoid, which might be the easiest way. I'll do that first.


Area = (b1 + b2)*h/2


Givens

B1 = QR = 6

B2 = UT + TS = 6 + 3 = 9

h = RT = 7


Area

Area = (6 + 9)*7/2

Area = 15 * 7 / 2

Area = 52.5


Comment

You could break this up into a rectangle + a triangle

Find the area of QRTU and add the Area of triangle RTS


<em>Area of the rectangle </em>= L * W

L = RT = 7

W = QR = 6

Area = 7 *6 = 42


<em>Area of the triangle</em> = 1/2 * B * H

B = TS = 3

H = RT =7

Area = 1/2 * 3 * 7

Area = 1/2 * 21

Area = 10.5


Total Area = 42 + 10.5 = 52.5 Both answers agree.

3 0
3 years ago
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