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riadik2000 [5.3K]
3 years ago
8

Which of the following are remote interior angles of angle 1? Check all that apply

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0
Your answer is correct

<2 and <3 are remote interior angles of <1
Arisa [49]3 years ago
5 0

Answer:

Option (b) and (c) are correct.

The remote interior angles of ∠1 are ∠2 and ∠3.

Step-by-step explanation:

Given : A triangle with marked angles.

We have to find the remote interior angles of angle 1.

Remote interior angles are the two angle that are inside the triangle and are opposite from the exterior angle.

Also,Remote interior angles don't share a vertex or corner of a triangle with the exterior angle.  

Thus, for the remote interior angles of angle 1 are angle 2 and angle 3  as they do not share a vertex or corner of a triangle with the exterior angle.  

Thus, Option (b) and (c) are correct.

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Find the area of an octagon whose perimeter is 120 cm.
stira [4]

Answer:

The area of an octagon whose perimeter is 120 cm is 1086.4 cm^{2}

Step-by-step explanation:

An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.

There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.

The perimeter of an Octagon is given by

P=8a

and the area of an Octagon is given by

A=2a^{2}(1+\sqrt{2})

We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get

120=8a\\\frac{8a}{8}=\frac{120}{8}\\a=15

Now, we calculate the area

A=2a^{2}(1+\sqrt{2})\\A=2(15)^{2}(1+\sqrt{2})\\A=450\left(1+\sqrt{2}\right)\\A\approx 1086.4 \:cm^{2}

5 0
3 years ago
What is the next number? 3,6,17,42,87,158,...,...​
Alla [95]

Answer:

CAN'T TELL . BECAUSE I HAVEN'T SEEN SUCH A QUESTION BEFORE

5 0
2 years ago
PLEASE HELP ME I MIGHT FAIL <br> What is the area of the shaded region?<br><br> square centimeters
scoray [572]

Answer:

98 square centimeters

Step-by-step explanation:

first find the area of the non shaded area

8x4=32

next find the area of the rectangle around it

13x10=130

and last you need to subtract the non shaded area from the rectangle around it to find the area of the shaded area

130-32=98

4 0
3 years ago
F (x) = 3x^2 - 7x - 32<br> What is the value of f(-4)?
Zielflug [23.3K]

Answer:

f (-4) = 3x(-4)^2 - 7x(-4) - 32 =  44

Step-by-step explanation:

you should replace every x with the number given which is here equals -4

5 0
3 years ago
C. 3851 yards <br> D. 3181 yards <br> Math question please help I'm running out of time
natali 33 [55]

Using the law of sins:

X/ sin(44) = 4510/sin(180-44-36)

x / sin(44) = 4510 / sin(100)

x = 3,181 yards.

4 0
3 years ago
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