<h3>
Answer:</h3>
3 11/15 cm
<h3>
Step-by-step explanation:</h3>
AE is the angle bisector of ∠A, so divides the sides of the triangle into a proportion:
... BE:CE = BA:CA = 7:8
Then ...
... BE:BC = 7 : (7+8) = 7:15
ΔDBE ~ ΔABC, so DE = 7/15 × AC
... DE = 7/15 × 8 cm = (56/15) cm
... DE = 3 11/15 cm
7/8 as a percent - 87.5%
7/8 as a fraction - 7/8..? I don't get what you're talking about there
7/8 as a decimal - 0.875
It’s 7.7 because you round it the the nearest ten which is 6 turns into a 7 by adding one
Answer:
-3
Step-by-step explanation:
<u>Easy way</u>:
Between the two marked points, you can count that you need to go down 6 and over 2. That means the rise/run is -6/2, or -3.
<u>Full way</u>:
Starting Point: (-1,3)
Ending Point: (1,-3)
Slope is given by (y₂-y₁)/(x₂-x₁)
To calculate this, (-3-(3))/(1-(-1))
Clean up the double negatives to get (-3-3)/(1+1), AKA -6/2
-6/2 = -3.
Answer:
<u>The correct answer is C. 129.</u>
Step-by-step explanation:
Let's recall that the Inscribed Quadrilateral Theorem states that a quadrilateral is inscribed in a circle if and only if the opposite angles are supplementary.
In the case of the inscribed quadrilateral ABCD in the graph attached, we have that:
m∠C= 51°, therefore its supplementary angle, ∠A, should be the difference between 180° and m∠C.
m∠C= 180° - m∠A
Replacing with the real values:
51 = 180 - m∠A
m∠A = 129°
<u>The correct answer is C. 129.</u>
