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>
Answer: 6 = 2(1+2), this is true.
Step-by-step explanation:
To solve this, 6 = 2(1 +2) =
This question is to proove that 2(1 +2) = 6
First we open the bracket:
(2 × 1) + (2 × 2)
Multiply 2 by 1 = 2
Multiply 2 by 2 = 4
2 + 4 = 6
I hope this helps.
Step-by-step explanation:
Since the first coordinates are both (0,0) it implies that the line passes through the origin.
The slope of the line is therefore 5/8
The equation:
y-0=5/8(x-0)
y=5/8x
Answer: A
Step-by-step explanation:
- factor out the greatest perfect foot factor
- the root of a product is equal to the product of the roots of eachother
- reduce the index of the radical and exponet with 5
4:7 = 8:14
4 x 2 = 8. 7 x 2 = 14