Answer:
The value of x is 106
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The triangle in the given figure has two sides equal
→ That means the triangle is an isosceles triangle
∴ The triangle is isosceles
∵ In the isosceles triangle, the base angles are equal in measures
∵ The measure of one base angle is 37°
∴ The measure of other base angle is 37°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ 37° + 37° + x = 180°
→ Add the like terms
∴ 74° + x = 180°
→ Subtract 74 from both sides
∵ 74 - 74 + x = 180 - 74
∴ x = 106
∴ The value of x is 106
Answer:
y = 3/5x + 62/5
Step-by-step explanation:
Equation of a line with two points is
m = y - y_1 / x - x _1
m = y_2 - y_1 / x_2 - x _1
Equating both
y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1
Using what we are provided with
(-4 , 10)(16 , -2)
x_1 = -4
y_1 = 40
x_2 = 16
y_2 = -2
Imputing the values
10 - (-2) / 16 - (-4) = y - 10 / x - (-4)
10 + 2 /16 + 4 = y - 10 / x + 4
12 / 20 = y - 10 / x + 4
Lets cross multiply
12 ( x + 4) = 20(y - 10)
Open the brackets
12x + 48 = 20y - 200
12x + 48 + 200 = 20y
12x + 248 = 20y
Following this equation of line
y = mx + C
20y = 12x + 248
Let's divide through by 20 to get y.
20y / 20 = 12x + 248 / 20
y = 12x + 248 / 20
We can separate it by
y = 12x / 20 + 248 / 20
y = 3/5x + 62/5
Therefore, the equation of the line is
y = 3/5x + 62/5
This problem is solved better well when given the drawing
or the figure. It may have been given and you forgot to attach it in the
question. However, so that we can solve this now, I drew the figure on my own
(see the attached pic).
We can see from the figure that two parallel lines are
intersected by a straight line. This type of scenario creates special angles.
Angle PXY and angle RYX are called alternate interior angles since they are on
the interior opposite sides of the cut.
By virtue of alternating interior angles, angle PXY and
angle RYX are congruent hence:
m∠RYX = m∠PXY
m∠RYX = 64.36°
Answer:
C
Step-by-step explanation:
Retangular prisms volume= lengthxwidthxheight
therefor you have to include all three number making you answer C
