Answer:
<h2><em>
38°, 66° and 76°</em></h2>
Step-by-step explanation:
A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.
<A + <B + <C = 180° ...... 1
If the measure of one angle is twice the measure of a second angle then
<A = 2<B ...... 2
Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3
Substituting equations 2 and 3 into 1 will give;
(2<B) + <B + (3<B-48) = 180°
6<B- 48 = 180°
add 48 to both sides
6<B-48+48 = 180+48
6<B = 228
<B = 228/6
<B =38°
To get the other angles of the triangle;
Since <A = 2<B from equation 2;
<A = 2(38)
<A = 76°
Also <C = 3<B-48 from equation 3;
<C = 3(38)-48
<C = 114-48
<C = 66°
<em>Hence the measures of the angles of the triangle are 38°, 66° and 76°</em>
If my mom does not have to work, then i do not have to babysit my little sister
Answer:
<h2>2(x - 5)(x + 3)</h2>
Step-by-step explanation:
![2x^2-4x-30\\\\=2\cdot x^2-2\cdot2x-2\cdot15\\\\=2(x^2-2x-15)\\\\=2(x^2+3x-5x-15)\\\\=2[x(x+3)-5(x+3)]\\\\=2(x+3)(x-5)](https://tex.z-dn.net/?f=2x%5E2-4x-30%5C%5C%5C%5C%3D2%5Ccdot%20x%5E2-2%5Ccdot2x-2%5Ccdot15%5C%5C%5C%5C%3D2%28x%5E2-2x-15%29%5C%5C%5C%5C%3D2%28x%5E2%2B3x-5x-15%29%5C%5C%5C%5C%3D2%5Bx%28x%2B3%29-5%28x%2B3%29%5D%5C%5C%5C%5C%3D2%28x%2B3%29%28x-5%29)
Answer:nope i need points
Step-by-step explanation:
