Answer:
x = 55°
y = 70°
z = 125°
Step-by-step explanation:
Based on the Isosceles triangle theorem, since two sides of the triangle are congruent, therefore, the angles opposite to each of the equal sides are congruent.
Thus:
x = 180° - 125° (angles on a straight line/linear pair)
x = 55°
If x = 55°, the other base angle will also be 55°.
Therefore,
y = 180° - (55° + 55°) (sum of ∆)
y = 70°.
z = x + y (exterior angle of a ∆ theorem)
z = 55° + 70° (substitution)
z = 125°
Use the substitution method
w(x)=9x+8
w(5)=9(5)+8
Do the parenthesis first then add because of using PEMDAS
P= Parentheses
E= Exponents
M= Multiplication
D= Division
A= Addition
S= Subtraction
45+8
=53
Answer: w(5)=53
Answer:
(x - 9) is already simplified
x² - 3x simplified is x(x - 3)
Step-by-step explanation:
We need to see if we can either take out GCF or factor. Since the 1st expression we can do neither, it is in its simplest form. For the 2nd expression, we can take out an <em>x</em>, and we get x(x - 3) as our simplified expression.
Answer:
(q,0)
Step-by-step explanation:
See the diagram given.
It is clear from the coordinates of the points given that point C (0,r) lies on the Y-axis and point E (-q,o) lies on the X-axis. Hence, point D must be on the X-axis.
ΔCDE being an isosceles triangle, the origin of the coordinate axes will be on the DE line and it will be at the midpoint of DE.
Therefore, ΔCDE will be symmetric with respect to the Y-axis and the coordinates of point D will be (q,0). (Answer)
Answer:
B. 24 ft.
Step-by-step explanation:
25 would be the hypotenuse of a triangle and 7 is a leg, so
7^2 + x^2 = 25^2
49 + x^2 = 625
x^2 = 576
x = 24 ft
