Answer:
95 degrees
Step-by-step explanation:
since angles 1 and 4 are vertical angles, they are congruent
3x+10=4x-15
3x-4x=-15-10
-x=-25
x=25
x=25 degrees
angles 4 and 7 are supplementary due to them being alternate exterior angles
lets find the measure of angle 4:
4x-15
4*25-15
100-15
85 degrees
Now, lets find the angle measure of angle 7:
85+x=180
x=180-85
x=95
So, the angle measure of angle 7 is 95 degrees
Answer: Choice A) 4/5
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Work Shown:
cos^2(theta) + sin^2(theta) = 1
(-3/5)^2 + sin^2(theta) = 1
9/25 + sin^2(theta) = 1
9/25 + sin^2(theta) - 9/25 = 1 - 9/25
sin^2(theta) = 1 - 9/25
sin^2(theta) = 25/25 - 9/25
sin^2(theta) = (25 - 9)/25
sin^2(theta) = 16/25
sqrt[sin^2(theta)] = sqrt[16/25]
sin(theta) = 4/5
The fact that sine is positive in quadrant 2 means that the result is positive.
Answer:
26
Step-by-step explanation:
[(7+3)5-4]/2+3
-To solve this equation you have to use PEMDAS
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction-
- With MD and AS you work left to right of the equation since they are in the same spot. (PE[MD][AS])
Step 1) [(10)5-4]/2+3
- First you do "P," parentheses, so you add 7+3=10
Step 2) [50-4]/2+3
- Next you do "M," multiplication, and multiply 10x5=50
Step 3) [46]/2+3
- Then you do "S," subtraction, and subtract 50-4=46
(FYI: Steps 1-3 were still in the parentheses. We had to start with the parentheses in the parentheses, work PEMDAS, and now we are out of the parentheses and have to work PEMDAS on the rest of the problem.)
Step 4) 23+3
- Now we do "D," division, and divide 46/2=23
Step 5) 23+3=6
- Finally we do "A," addition, and add 23+3=26 so the answer is 26
(FYI: "/" means division)
Answer: 31311620
Step-by-step explanation: Calculator
