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omeli [17]
4 years ago
5

Need help asap do tonight

Mathematics
1 answer:
Xelga [282]4 years ago
6 0

Answer:

4.

Once x is opposite to z, they are the same. It is the same for y, equals to 40º.

m∠y = 40º

The ∠x and 40º are supplementary, therefore ∠x = 140º.

∠z = 140º

m∠x = 140º

m∠y = 40º

m∠z = 140º

5.

Considering the explanation from the question 4:

m∠x = 50º

m∠y = 130º

m∠z = 50º

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melamori03 [73]

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Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

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The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

A=\sqrt{s(s-a)(s-b)(s-c)}, where a, b, and c are three sides of the triangle and s is the semi-perimeter (s=\frac{a+b+c}{2}).

The semi-perimeter, s, is:

s=\frac{5+5+4}{2}=\frac{14}{2}=7

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