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Daniel [21]
2 years ago
13

What is the measure of \angle 1?, What is the measure of \angle 2?, What is the measure of \angle 4? and What is the measure of

\angle 5?

Mathematics
1 answer:
mote1985 [20]2 years ago
8 0

Answer:

<1  and <6 = 98

<2 and <3 = 139

<4 and <5 = 123

Step-by-step explanation:

82 + 9x - 6 + 6x - 1 = 180

15x + 75 = 180

15x = 105

x = 7

<1:

x + 82 = 180

x = 98

<2:

6x - 1 = 6(7) - 1 = 41

x + 41 = 180

x = 139

<3 = <2 because of vertical angle thm so <3 = 139

<5:

9x - 6 = 9(7) - 6 = 57

x + 57 = 180

x = 123

<4 = 5 because of vertical angle thm

<6 = <1 because of vertical angle thm

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CosA.cos2A.cos4A=sin8A/8sinA​
alexgriva [62]

I assume you're supposed to establish the identity,

cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)

Recall the double angle identity for sine:

sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)

Then you have

sin(8A) = 2 sin(4A) cos(4A)

sin(8A) = 4 sin(2A) cos(2A) cos(4A)

sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)

==>   sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)

as required.

3 0
3 years ago
The area of a square is 49 square meters. How long is each side?
Artemon [7]

A square has 4 equal sides, which means when you need to work out the area, you're doing length × width, but the length and width are exactly the same, because it's a square (look at the picture if you don't understand this).

That means you just have to pick any side (let's call this side x), and multiply it by another side of the square. Now, because all of the sides are equal, you're doing x multiplied by x, which is the same as x².

Therefore, if the area is equal to x², and in this question, it's also equal to 49 (as stated in the question), we can equate them to each other:

x² = 49

Now to get the x by itself, we need to do the opposite of squaring, which is square rooting. Therefore, we square root both sides of the equation:

√x² = √49

The √ and the ² cancel out, so you're just left with x:

x = √49

The square root of 49 is just 7, so we can replace √49 with 7, and we get:

x = 7

Now remember, earlier, I called x the value of one side. Therefore, by remembering that, you know that the value of one side is equal to 7. And because all the sides are the same as each other, each side is equal to 7 metres.

Therefore, your final answer is 7 metres :)

3 0
3 years ago
A mixture requires 4 cups of water for every 7 cups of flour used. How many cups of water should be used with 28 cups of flour
MAVERICK [17]

Answer:

16 cups of water

5 0
3 years ago
If 260 is increased by 170%, what is the resulting number?
iragen [17]
Hello!
----------
The answer is 442.
----------
WORK: 170%=1.7*260=442
----------
Hope this helps and have a great day!
4 0
3 years ago
A principal collected and recorded math test scores for two groups of students. After analyzing the information for each group,
Ganezh [65]
Para comer um pouco mais tarde a gente não tem
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