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Mathematics

1 answer:

Alenkinab [10]3 years ago

7 0

Answer:

25 inches^2

Step-by-step explanation:

The formula for the area of a triangle is A = (1/2)(base)(height).

Here the base, b, is 10 inches and the height, h, is 5 inches.

Thus, the area of this triangle is

A = (1/2)(base)(height) = (1/2)(10 inches)(5 inches) = 25 inches^2

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My solution to the problem is as follows:

Just multiply the number of each choice:

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2 years ago

Read 2 more answers

In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of

ira [324]

Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)