Answer:
105 degrees
Step-by-step explanation:
The measure of the exterior angle of a triangle is equal to the sum of the measures of the other angles of the triangle.
Given that, we know the missing angle is 25 + 80 = 105.
He will put $122 dollars into each account.
366÷3=122
122×3=366
Answer:
x = 20
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, sum to 180°
5x + 4x = 180
9x = 180 ( divide both sides by 9 )
x = 20
Answer:
1/10
Step-by-step explanation:
The probability of flipping heads is 1 out of 2 or 1/2
The probability of getting a 5 on the spinner is 1/5
The probability of getting both is 1/2 * 1/5 = 1/10
You should try this out by listing all the ways this can happen.
Spinner Coin
1 H
2 H
3 H
4 H
<em><u>5 H</u></em>
1 T
2 T
3 T
4 T
5 T
There are 10 ways of this problem giving results. Only 1 of them is correct.
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
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Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
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Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
