Answer: x = 34°
Explanation:
As per definition, complementary angles add up 90°.
In the figure you see angle A measures x + 22° and angle B measures x.
Therefore, according to the definition, you can set this equation:
x + 22° + x = 90°
Solve for x:
- start: x + 22 + x = 90
- combine like terms: 2x + 22 = 90
- subraction property: 2x = 90 - 22
- do the operation: 2x = 68
- division propery: x = 68/2
- do the operation: x = 34
Answer: x = 34°
15 divided by 2 1/2=6
Nestor can pot 6 plants in an hour. (I'm guessing that it said 2 1/2 hours)
<h3>
Answer: 12 inches</h3>
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Explanation:
Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.
That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.
We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.
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Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.
We'll use the pythagorean theorem to find XZ
a^2 + b^2 = c^2
(XZ)^2 + (ZY)^2 = (XY)^2
(XZ)^2 + (5)^2 = (13)^2
(XZ)^2 + 25 = 169
(XZ)^2 = 169-25
(XZ)^2 = 144
XZ = sqrt(144)
XZ = 12
Segment XZ is 12 inches long.
(8v + s)5 (multiply 5 into the parentheses)
(8v × 5) + (s × 5)
40v + 5s
