<u>Let us assume that:</u>
We can also write it as:
Squaring both sides, we get:
By splitting the middle term:
<u>Therefore:</u>
<u>But x cannot be negative. </u>
Therefore, the value of the expression is 3.
Given:
We can also write it as:
This pattern will continue.
Answer:
68 inches
Step-by-step explanation:
P = 2 (L + W)
P = 2(4x+5 + 4x+5)
P = 2(8x + 10)
P = 16x + 20
If x= 3
P = 16(3) + 20
P = 48 + 20
P = 68 inches
3x - 7
The perimeter is the sum of all 3 sides of the triangle
To find the third side subtract the sum of the 2 known sides from the perimeter
x + 3 + 2x + 4 = 3x + 7
third side = 6x - (3x + 7 ) = 6x - 3x - 7 = 3x - 7
Answer:
1. x=0
2. m=5
3. x=8
4. x=-8
5. x=49
6. x=-133
Step-by-step explanation:
1. 9x=0
2. -20=-4m, 20=4m
3. 2x=16
4. x/8=-1, x=-1x8
5. x/7=7
6. After simplifying: −1/19(x)=7
Hope this helped, I just simplified all the steps for the step by step explanation. Have a great day and stay safe, happy, and healthy!
Answer:
B. 12
Step-by-step explanation:
✔️Find the value of x
The side lengths of two similar triangles are always proportional.
Given that ∆ABC ~ ∆LMN, therefore:
AB = 5
LM = 10
AC = x + 5
LN = 3x + 3
Plug in the values
Cross multiply
(distributive property)
Collect like terms
Divide both sides by 5
x = 7
✔️Find AC
AC = x + 5
Plug in the value of x
AC = 7 + 5
AC = 12