Answer:
23x = -115
Step-by-step explanation:
In the substitution method, you must solve for 1 variable in 1 equation to replace it in the other equation. For the system:
2x - 7y = 4
3x + y = -17
Solving for y in the second equation:
y = -17 - 3x
Replacing y in the first equation:
2x - 7(-17 - 3x) = 4
2x + 119 + 21x = 4
23x = -115
This is the new equation after use the substitution method.
Answer:
Step-by-step explanation:
Remember that the formula to get the area of a right triangle is base times height divided by 2, so to find the area:
5 x 12 = 60/2 = 30
Area of this triangle is 30.
To find the perimeter, add all the sides:
5 + 12 + 13 = 30.
Perimeter of this triangle is 30.
Answer:
The measure of other three angles are 135° , 45° and 45°
Step-by-step explanation:
The opposite angles of a parallelogram are equal.
So if we consider a parallelogram ABCD ,
Angle A = Angle C
Angle B = Angle D
If we take angle A = 135° then angle C = 135°
SUM OF INTERIOR ANGLES OF A QUADRILATERAL IS 360°.
A+B+C+D=360°
135°+B+135°+D=360°
270°+B+D=360°
But B=D
So,2B=90°
B=45°
D=45°
So A = C = 135°
A = C = 135° B = D = 45°
A = C = 135° B = D = 45°
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Answer:
2.15%
Step-by-step explanation:
If you were to get the z-score for both 500 and 550 and then get the probability of both those z-scores. After getting the probability you would subtract both probability and get your answer.
Z-score:
550-400/2=3
500-400/2=2
Probability:
3 (from the Z-table) is .9987
2 (from the Z-table) is .9772
.9987-.9772= .0215
.0215 as a percentage is 2.15%
Answer:
Step-by-step explanation:
