Answer:
see below
Step-by-step explanation:
The sum of the interior angles is 180
<1 + <2 + <4 = 180
<1 + 31+ <4 = 180
<1 + <4 = 180-31
<1 + <4 = 149
<2 + <3 = 180 because it forms a straight line
31 + <3 = 180
<3 = 180-31
<3 = 149
Setting theses equal (since they are both equal to 149)
<1 + <4 = <3
The exterior angle is equal to the sum of the opposite interior angles
We can use a modified form of the Pythagorean Theorem to find the length of x, also known as side b.
Pythagorean Theorem:
a^2 + b^2 = c^2
We can fill in the values of a^2 and c^2, and then solve for b.
14^2 + b^2 = 25^2
196 + b^2 = 625
Subtract 196 from both sides.
b^2 = 429
√ both sides.
b = 20.7
<h3>The value of x, or b, is equal to 20.7.</h3>
Answer:
They are equivalent
Step-by-step explanation:
Since 3.75 divided by 5 is .75 that means that 6 divided by 8 would have to also be .75 which, if you divide it, it is.
Answer:
therws this random chart from the internet, I think that's what they want, but not sure
Answer:
x= -5/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7(5x+9)=12−(x+9)
7(5x+9)=12+−1(x+9)(Distribute the Negative Sign)
7(5x+9)=12+−1x+(−1)(9)
7(5x+9)=12+−x+−9
(7)(5x)+(7)(9)=12+−x+−9(Distribute)
35x+63=12+−x+−9
35x+63=(−x)+(12+−9)(Combine Like Terms)
35x+63=−x+3
35x+63=−x+3
Step 2: Add x to both sides.
35x+63+x=−x+3+x
36x+63=3
Step 3: Subtract 63 from both sides.
36x+63−63=3−63
36x=−60
Step 4: Divide both sides by 36.
36x/36 and -60/36
x= -5/3
