Answers:
Angle 2 = 67 degrees
Angle 3 = 113 degrees
Angle 4 = 67 degrees
Angle 5 = 113 degrees
Angle 6 = 67 degrees
Angle 7 = 113 degrees
Angle 8 = 67 degrees
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Explanation:
Angle 1 is given to be 113 degrees, so 180 minus that angle is 180-113 = 67 which is the measure of angle 2. This works because angle 1 and angle 2 form a straight 180 degree angle.
Angle 2 = angle 8 because they are vertical angles, same can be said for angle 1 and angle 7. Also, we know that angle 3 = angle 5, and angle 4 = angle 6.
Furthermore, the alternate interior angles are congruent so angle 8 = angle 4 and angle 7 = angle 3.
Based on all that we can fill out a lot of the angles. You'll have the same answers repeated over and over. The even numbered angles (angle 2, angle 4, angle 6, angle 8) are all 67 degrees. The odd numbered angles (angle 1, angle 3, angle 5, angle 7) are 113 degrees.
Make sure you correct the "130" for angle 5 to be "113" instead.
Answer:
16
Step-by-step explanation:
Write the expression in algebraic form:
3x² + 4y²
Notice we only have variables "x" and "y".
Given these variables: x = 2, y = 1, and z = –3
We can <u>ignore "z"</u> because the variable is not in the equation.
<u>Substitute</u> x = 2 and y = 1 in the expression. In other words, replace "x" and "y" with the numbers they give you.
3x² + 4y²
= 3(2)² + 4(1)²
Then, simplify the expression. Remember to follow <u>BEDMAS order</u> (brackets, <u>exponents</u>, division and <u>multiplication</u>, <u>addition</u> and subtraction).
= 3(2)² + 4(1)² Solve exponents first
= 3(4) + 4(1) Solve multiplication
= 12 + 4 Solve addition
= 16 Answer
The value of 3 x squared plus 4 y squared is 16, if x = 2, y = 1, and z = -3.
Answer:
y = 
Step-by-step explanation:
Straight line in the graph attached shows the linear relation between number of gallons of white paint and number of gallons of red paint added to prepare pink.
Let the number of gallons of white paint required = x
and number of gallons of red paint required = y
y ∝ x
y = kx [k = proportionality constant]
Since a point (4, 1) lies on this line,
1 = 4k
k = 
Therefore, equation that describes the relationship will be,
y =
800 people because when you try to find the number of people, x, you do cross multiply. So it will be 520/x = 65/100, next you multiply 520 by 100, then divide that by 65 to get 800 people
