Answer:
D
Step-by-step explanation:
No matter what X is, Y will always be 0.
Answer: C) mC > mA > mB is correct regarding the angles of the triangle ABC.
Step-by-step explanation:
Given: In Δ ABC, the side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.
AB=4p-1 , AC=p+4 , BC=3p
where p+4 < 3p [as p≥3]
3p < 4p-1 [as p≥3]
⇒ 4p-1> 3p > p+4
⇒AB>BC>AC
Angle opposite to AB ,BC and AC is m∠C ,m∠A and m∠B.
Therefore mC > mB > mA [∵Angle opposite to greater side is greater]
Thus , mC > mA > mB is correct regarding the angles of the triangle ABC.
Answer:
a² + b² = c · (e + d) = c × c = c²
a² + b² = c²
Please see attachment
Step-by-step explanation:
Statement, Reason
ΔADC ~ ΔACB, Given
AC/AD = BA/AC, The ratio of corresponding sides of similar triangles
b/e = c/b
b² = c·e
ΔBDC ~ ΔBCA, Given
BC/BA = BD/BC, The ratio of corresponding sides of similar triangles
a/c = d/a
a² = c·d
a² + b² = c·e + c·d
a² + b² = c · (e + d)
e + d = c, Addition of segment
a² + b² = c × c = c²
Therefore, a² + b² = c²
Answer:
10.5in
Step-by-step explanation:
DC=16in is similar to OP=12in.
So the ratio is 12/16=3/4.
Now AD=14in.
MP=AD×ratio=14×3/4=21/2=10.5in
Answer:
-1/8
Step-by-step explanation:
The given expression is y⁻³
We want to find the value of the expression when y = -2
Thus;
At y = -2, we have; -2⁻³
According to law of exponents, x⁻⁴ = 1/x⁴
Thus; -2⁻³ = -1/2³ = -1/8
