<h3>Answer:</h3>
y = 28
<h3>Explanation:</h3>
The base angles of the isosceles triangle are congruent, so the sum of angles is ...
34° + 34° + 4y° = 180°
... 4y = 180 -68 . . . . . divide by °, subtract 68
... y = 112/4 = 28 . . . . divide by the coefficient of y
The value for y is 28.
_____
You have not asked about x in either figure.
<em>First figure</em>
Since the angles are congruent, the sides are congruent. Then ...
... 6x -3 = 5x
... x = 3 . . . . . . add 3-5x
<em>Second figure</em>
The base angles of the isosceles triangle are congruent, so
... 34° = (x -5)°
... 34+5 = x = 39 . . . . . . . divide by °, add 5.
Step-by-step explanation:
This is a familiar conversion problem:
Answer:
2/3
Step-by-step explanation:
Do 1/3 divided by 4/5 first.
So we are going to flip 4/5 to 5/4. The equation is now:
1/4+1/3 times 5/4
Now we are going to do the multiplication since multiply and division is before adding and subtraction.
1/3 times 5/4 = 5/12
Now we have to add 1/4+5/12
With adding ( and subtracting) we have to find the common denominator which is 12
So now we have 3/12 + 5/12 = 8/12 which reduces to 2/3
Answer:
A) x degrees + 65 degrees = 180 degrees
B) x degrees = z degrees
C) y degrees = 65 degrees
Step-by-step explanation:
Refer the attached figure
So,
So,
So,
So, x = z
So, Option A ,B and C are true for the values of x, y, and z
First
Outer
Inner
Last
it is a way of remembering how to multiply binomials
it tells which terms to multiply
example
(x+3)(x+4)
First (multiply first terms)
x times x=x²
Outer (multiply outer terms)
x times 4=4x
Inner (multiply inner terms)
3 times x=3x
Last (multiply last terms)
3 times 4=12
now add them all
x²+4x+3x+12
x²+7x+12
that is what FOIL is