Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,

7 0

2 years ago

The perimeter of a rectangular campsite is 64 cm and its area is 207 cm. Find the length and the breadth of the rectangle.

AlladinOne [14]

Perimeter Formula:
$2l + 2b = 64$

Area Formula:
$l \times b = 207$
Set perimeter Formula equal to b:
$2l + 2b = 64 \\ 2(l + b) = 64 \\ l+ b = 32 \\ b = 32 - l$
Plug formula for be we just made above into the area Formula:
$(32 - l) \times l = 207$

Solve for L (you'll have to use quadratic formula) then plug that back into the area Equation and solve for b.

Here's a link to where the problem has been explained before (they go into more detail than me).

https://brainly.ph/question/468631

lmk if you need any more help

6 0

2 years ago

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If f^-1(x) is the inverse of f(x), which statement must be true?

k0ka [10]

F(f-1x) will be equal to x

take a simple example

f(x) = 2x

so x = f(x) / 2

f-1(x) = x/2

f(f-1x) = 2 ( x/2) = 2 * x/2 = x

5 0

2 years ago

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Susan open an account with $100. She deposits $100.00 every year to an account that earns simple interests at a rate of 5%. If s

NemiM [27]

Answer: