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zaharov [31]
3 years ago
10

How do I answer this question?​

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle equals 180 degrees, therefore,

180 = m<1 + m<2 + m<3

180 - m<3 = m<1 + m<2

But, we also know that m<4 + m<3 = 180 degrees.

180 = m<3 + m<4

180 - m<3 = m<4

Both m<4 and m<1 + m<2  equals 180 - m<3

m<4 = m<1 + m<2

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a_sh-v [17]
4x is the proportionality
7 0
2 years ago
P what equation in slope-intercept form represents the line that passes through the points (3,5) and (-9,2)
ivanzaharov [21]

Answer:

y =\frac{1}{5}x+\frac{22}{5}

Step-by-step explanation:

To write the equation of a line, use the slope formula to first find the slope.

m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{3--9}=\frac{3}{3+12}=\frac{3}{15}=\frac{1}{5}

Substitute m=1/5 and the point (3,5) into point slope formula.

y-y_1 = m(x-x_1)\\y-5=\frac{1}{5}(x-3)\\y-5=\frac{1}{5}x -\frac{3}{5}\\y =\frac{1}{5}x+\frac{22}{5}

3 0
3 years ago
How do you solve sin (5pi/3) without a calculator?
Savatey [412]

very simple, we use the formula sin(a+b)=sinacosb + sinbcosa and sin(20)=2sinacosa

5pi = 2pi/3+3pi/3,

First, we use sin(a+b)=sinacosb + sinbcosa

sin(5pi/3)=sin(2pi/3+3pi/3)= sin(2pi/3+pi)= sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)

but we know that sin(pi)= 0, and cos (pi) = -1, so sin(5pi/3)= - sin(2pi/3)

now, use sin(2a)=2sinacosa, sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)

sin<span>(5pi/3)=  -2sin(pi/3)cos(pi/3)</span>

<span>sin(pi/3)= 0.86, cos(pi/3)=0.5, finally we have   </span>sin<span>(5pi/3)=  -0.86 x 0.5= -0.43</span>

5 0
4 years ago
Read 2 more answers
Find the value of X.
shtirl [24]

Answer:

x=15º

Step-by-step explanation:

180=25+8x+5+2x

180=30+10x

180-30=10x

150=10x

15=x

4 0
3 years ago
Read 2 more answers
This id hard please help me do this
svlad2 [7]
In this problem, we're going to use the 'PEMDAS' method.

First, we're doing the problem in the parenthesis.
44 - 4 = 40

Next in PEMDAS, we need to do the exponent.
6² = 6 x 6 = 36

Then we would do multiplication, but there is nothing to multiply so we move onto division.
40 / 2 = 20

Now we would add, but there is nothing to add so we move onto subtraction.
20 - 36 = -16

Our final answer would be -16.

Hope this helps!~
7 0
3 years ago
Read 2 more answers
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