Hello!
This is a rectangular prism
To find the volume you use the equation whl
w is width
h is height
l is length
Put in the values
6.3 * 7.9 * 12.4 = 617.1
The answer is D
Hope this helps!
10 units right then 10 units down
Answer:
y = -8/3x + 33
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 1 / 9 -12
8 / -3
= -8/3
y = -8/3x + b
1 = -8/3(12) + b
1 = -32 + b
33 = b
Tile 1:In any triangle (regardless its type), the sum of measures of the internal angles is 180°.
This means that:
∠ABC + ∠BAC + ∠ACB = 180°
Tile 2:The sum of measures of internal angles of a triangle is 180°.
We are given that:
ΔABC is isosceles where AB = AC
This means that:
∠ABC = ∠ACB
We are also given that measure angle BAC is 70 degrees
180 = ∠ABC + ∠ACB + 70
∠ABC + ∠ACB = 110°
We know that both angles are equal, therefore:
∠ABC = ∠ACB = 110/2 = 55°
Tile 3:We are given that ΔQPR is an isosceles triangle where PQ = QR
This means that:
∠QPR = ∠QRP
We are given that ∠QRP = 30°
This means that:
∠QPR = 30°
Tile 4:A diagram representing the given scenario is attached.
Now we have:
point D is midpoint to AB and point E is midpoint to BC
There is a theorem stating that: "In a triangle, a line joining the midpoints of two sides is parallel to the third side and equals half its length"
Applying this to the givens, we would conclude that:
ED is parallel to AC
Now, since these two lines are parallel, then angles BAC and BDE are corresponding angles which means that they are equal.
This means that:
∠BAC = ∠BDE = 45°
Hope this helps :)