Answer:
60 degrees
Step-by-step explanation:
We are given the measures of WY and XY. Using them, we can find out 2WY=XY.
In 30-60-90 right triangle, the hypotenuse is 2 times the shortest leg. This means that this triangle is a 30-60-90 triangle. Angle Y is the angle made by the shorter leg and the hypotenuse therefore it is 60 degrees.
Answer:
Capacity of old tank = 1650 barrels.
Capacity of new tank = 2000 barrels.
Explanation:
Let a be the capacity of old tank and b be the capacity of new tank.
A company added a new oil tank that holds 350 barrels of oil more than its old oil tank.
So we have b - a = 350 ----------------------equation 1
Together they hold 3650 barrels of oil
a + b = 3650 ----------------------equation 2
equation 1 + equation 2
2b = 3650 + 350 = 4000
b = 2000 barrels.
Substituting in equation 1
2000 - a = 350
a = 1650 barrels.
Capacity of old tank = 1650 barrels.
Capacity of new tank = 2000 barrels.
Covert standard form to slope-intercept form
4x + 7y + 3 = 0
7y = -4x - 3
y = (-4/7)x - 3/7 so the slope of this line is -4/7
The slope perpendicular to this is - 1 (-4/7) = 7/4
The required line has equation:-
y - 1 = (7/4)(x - (-2))
y - 1 = (7/4)x + 14/4
y = (7/4)x + 18/4 That is the answer in slope intercept form
Multiply through by 4
4y = 7x + 18
7x - 4y = 18 in Standard form Answer
Answer:
3
Step-by-step explanation:
15
-
12
-----
3
Answer:
if ∠Q=∠R
draw an angular bisector from P to QR in which it intersect wit Qr at point S
now we have two triangle : QPS and RSP
in which angle : QPS=RPS ( PS is angular bisector)
and we have angle Q and angle R are equal
and PS is common side
this makes triangle QPS and RSP are congruent by AAS(angle angle side)
which also means that pQ=PR ( proved)
