Answer: 25.
Step-by-step explanation: 18+7 = 25.
I hope this helps!
Answer:
x= 15
Step-by-step explanation:
Since this is an isosceles triangle, the other angle is also 5x-6
The sum of the angles of a triangle is 180
42+ 5x-6 + 5x-6 = 180
Combine like terms
10x+30 =180
Subtract 30 from each side
10x+30-30 = 180-30
10x = 150
Divide by 10
10x/10 = 150/10
x= 15
Answer:
I'm pretty sure it's $98.10
Step-by-step explanation:
$90*.09=8.1
90+8.1=98.1
which can also be written as $98.10
Angle values in fraction form
- A = 220/3
- B = 100/3
- C = 200/3
Angle values in decimal form
- A = 73.333
- B = 33.333
- C = 73.333
For each decimal value, the '3's go on forever.
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Work Shown:
Check out the diagram below. Since AD bisects angle BAC, this means the two smaller pieces (angle DAB and angle DAC) are equal to one another. Let's call those smaller pieces x for now. They combine to 2x which is the measure of angle BAC.
Angle BCA is 2x since this is the other base angle, and the two base angles are congruent.
Let y be the measure of angle ADC. It's supplementary to the 110 degree angle.
y+110 = 180
y = 180-110
y = 70
Now focus on triangle ACD. All three angles of a triangle add to 180
A+D+C = 180
x+y+2x = 180
3x+y = 180
3x+70 = 180
3x = 180-70
3x = 110
x = 110/3
This means each base angle is
2x = 2*(110/3) = 220/3
So we know that A = 220/3 and C = 220/3 are the two base angles of triangle ABC.
The last step is to find the vertex angle B
A+B+C = 180
220/3 + B + 220/3 = 180
B+440/3 = 180
B = 180 - 440/3
B = 180*(3/3) - 440/3
B = 540/3 - 440/3
B = 100/3
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So in summary we have
- A = 220/3
- B = 100/3
- C = 220/3
as the three angles for triangle ABC. Those are the exact fractional values.
The approximate decimal values are
- A = 73.333
- B = 33.333
- C = 73.333
Answer:
x² - 16xy + 64y²
Step-by-step explanation:
The difference of x and 8y is x - 8y
The square of the difference is (x - 8y)² = (x - 8y)(x - 8y)
Expand by multiplying each term in the second factor by each term in the first factor, that is
x(x - 8y) - 8y(x - 8y) ← distribute both parenthesis
= x² - 8xy - 8xy + 64y² ← collect like terms
= x² - 16xy + 64y²