PEMDAS
10x -40 +15 = -15
-10x -10x
________________
-40 +15 = -15 - 10x
+15 +15
________________
-40 + 15 +15 = -10x
_______________
-40 + 30 = -10x
_____________
-25 = -10x
+10 +10
________
-15 = x
<em>Hopefully this all makes sense to you ☺</em>
Answer:
You can go ahead with option D
Step-by-step explanation:
<h2>30% of x will be 3x</h2>
Answer:
1. 18 (sqrt21 - sqrt2a)
2. 3
3. x^m/n
4. (5x^4√10)/(√2x)
5. x = -2 or -6
6. x = 30
Step-by-step explanation:
Number 1
3^3sqrt21 - 6^3sqrt2a
3 * 6 * sqrt21 - sqrt2a
18 (sqrt21 - sqrt2a)
Number 2
3^1/2 * 3^1/2 =
3^1/2+1/2 =
3^1 =
3
Number 3
^nsqrtx^m =
x^m/n
Number 4
(√250x^16)/(√2x) =
(√25 * 10 * x^16)/√(2x )=
(5x^4√10)/(√2x)
Number 5
√2x + 13 - 5 = x
√2x + 13 = x + 5
square both side to take away the sqrt sign
(√2x + 13)^2 = (x + 5)^2
expand the equation on the RHS
2x + 13 = x(x+5) + 5(x+5)
2x+13 = x^2 + 10x +25
substract 13 from both sides
2x = x^s + 10x +12
subtract 2x from both sides
0 = x^2 +8x + 12
Factorize equation
x^2 + 6x +2x + 12 = 0
x(x+6) + 2(x+6) = 0
(x+2)(x+6) = 0
x = -2 or -6
Number 6
3 ^5sqrt(x+2)^3 + 3 = 27
subtract 3 from both sides
3 ^5sqrt(x+2)^3 = 27 - 3
3 ^5sqrt(x+2)^3 = 24
divide through by 3
^5sqrt(x+2)^3 = 8
square both sides by 5 to take away the 5th root sign
(x+2)^3 = (8)^5
(x+2)^3 = 32,768
take the cube root of both sides to take away the ^3
x+2 = ^3sqrt 32,768
x+2 = 32
x = 32 - 2
x = 30
The base angles are both 74°
Further explanation:
An isosceles triangle is a type of triangle that has two sides and two angles equal.
Let A, B and C be three angles
Let A=32°
If A is 32 then B and C will be equal
The internal angles of a triangle are 180°
So,
m∠A+m∠B+m∠C=180°
We know that B and C are equal
m∠B=m∠C
So putting the value of A and replacing C by B
32°+m∠B+m∠B=180°
32°+2m∠B=180°
2m∠B=180°-32°
2m∠B=148°
m∠B=148°/2
m∠B=74°
As
m∠B=m∠C
So
m∠C=74°
The base angles are both 74°
Keywords: Isosceles Triangle, Angles
Learn more about Isosceles triangle at:
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