Answer:
57
Step-by-step explanation:
5|x^3-2|+7
Let x=-2
5|(-2)^3-2|+7
Work inside the absolute values first
5|-8-2|+7
5|-10|+7
Take the absolute value, which makes it positive
5 *10 +7
Multiply
50+7
57
Answer:
it is a function
Step-by-step explanation:
Because on the X-axis there is no numbers repeating making it a function
Answer:
See the attached figure.
Step by step solution:
<u>Part (1):</u>
When ΔABC is an isosceles triangle with AB = AC
The summing of the three of the triangle = 180°
∴ m∠ABC + m∠BAC + m∠ACB = 180°
================================================
<u>Part (2):</u>
When ΔABC is an isosceles triangle with AB = AC
So, m∠ABC = m∠ACB = x
if m∠BAC = 70
∵ m∠ABC + m∠ACB + m∠BAC= 180°
∴ x + x + 70 = 180 ⇒ x = 55°
∴ m∠ABC = 55°
===================================================
<u>Part (3):</u>
When m∠QRP = 30°, and ΔPQR is an isosceles triangle with PQ = QR
So, m∠QPR = m∠QRP = 30°
====================================================
<u>Part (4):</u>
When m∠BAC = 45° and points D and E are the midpoints of AB and BC in ΔABC
∵ Points D and E are the midpoints of AB and BC in ΔABC
∴ DE // AC
∴ m∠BDE = m∠BAC ⇒ the corresponding angles are congruent
∴ m∠BDE = 45°