Given:
In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.
To find:
The value of x and y.
Solution:
In triangle ABC,
(Given)
So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.
In isosceles triangle ABC,
The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.
In triangle ABD,
[Angle sum property]
Therefore, the correct option is B.
Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³
Volume of sand in the new terrarium=10*24*h
where
h------------> is the <span>deep in the new terrarium
</span>remember that
the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in
the answer is 2 in
(a) 95 = (x+7)*(x-7)
(b) 95 = (x+7)*(x-7)
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
x = 12 because you cannot have a negative age so Trina is 12 years old.
Answer:
Step-by-step explanation:
4x what = 98
3 = AIA ( Alternate Interior Angles)
4 = Definition of AIA
