The measure of the three angles are 56, 28 , 192 degree
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , three vertices an three angles.
It is given to make system of equations
Let the measure of the first , second and third angle be x, y and z
the sum of the measures of the first two angles is 12 less than the measure of the third angle.
x +y = z -12 ----1
the measure of the first angle is twice as big as the measure of the second angle.
x = 2y
Now equation 1 will be
z - 3y = 12
x +y+z = 180
2y +y +z = 180
3y +z = 180 ----2
z - 3y = 12------3
On solving the system of equation 1, 2
2z = 192
z= 96 degree
3y = 180-96
y = 28
x = 56
Therefore the measure of the three angles area 56, 28 , 192 degree.
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Answer:
D and E
Step-by-step explanation:
Perimeter = 4s
4(x + 8)
4x + 32
9514 1404 393
Answer:
y = -3x^2 -9x +30
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...
f(x) = (x +5)(x -2)
At the point x=3, the value of this product is ...
f(3) = (3 +5)(3 -2) = (8)(1) = 8
In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...
y = -3(x +5)(x -2)
y = -3x^2 -9x +30 . . . . . standard form
No, she will still owe $9.30. $25.63 - $16.33= $9.30
Answer: 1/6
Step-by-step explanation:
<u>Given:</u>
4/9 and 11/18
<u>Solve:</u>
<em>STEP ONE: Make the denominators equal by determining the LCM</em>
LCM = Least Common Multiple
First Five multiples of 9 = 9, 18, 27, 36, 45
First FIve multiples of 18 = 18, 36, 54, 72, 90
As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.
<em>STEP TWO: Compare the size and determine the greater one.</em>
4/9 = (4 × 2) / (9 × 2) = 8/18
11/18 = 11/18
Since 11 > 8, therefore, 11/18 is greater than 8/18
<em>STEP THREE: Find the difference between the two fractions.</em>
11/18 - 4/9
=11/18 - 8/18
=(11 - 8) / 18
= 3 / 18
= 1/6
Hope this helps!! :)
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