Someone help me with this! Brainliest + 20 plints

Mathematics

1 answer:

Reika [66]3 years ago

3 0

You must use multiple different angle theorems in order to answer these questions.

In the first question, you use a Z angle theorem, where since the angles lie on a parallel line, angles a and b will equal to 180.

Angle a will equal 40 due to the alternate angles, and b will equal 140 since 180 - 40 = 140.

In the second question, you use corresponding angles. b will equal 72 since they are alternate angles and follow the Z angle theorem, and angle a = angle c. To get these, take 180 - angle b to get angle c, which is 180 - 72 = 108. Angle c = 108 and angle a = 108 since they are opposite angles.

In the third question, since everything takes place in a parallelogram, opposite angles will equal each other, thus angle b will equal 79. To get angle a, you do 180 - angle b or 79, 180 - 79 = 101. Angle a will equal 101.

*assume each number has a degree on them*

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3 years ago

Find the lateral area and the surface area of the right prism.

liraira [26]

Answer:

390 $in^{2}$

Step-by-step explanation:

We know that the top is a rectangle triangle, we only have two of the tree sides and the one that is missing is the hypotenuse. The formula to find it is $h^{2}= a^{2} +b^{2}$

If we put the values we know it would be

$h^{2}= 5^{2} +12^{2}$

$h^{2}= 25 +144$

$h^{2}= 169$

$h=\sqrt{169}$ = 13

So now we have the lenght missing.

The area of the top and bottom is the same and we found it by the formula $\frac{(base)(height)}{2}$ = $\frac{(12)(5)}{2}$ = 30, that is the area of just one triangle, multiply by 2 and that is the area of top and bottom = 30 x 2 = 60