1: 132in^2
2: 275units^2
3: 139.5in^2
4: 168ft^2
5: 228ft^2
Answer:
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Step-by-step explanation:
Let the number be x.
Dividing both sides by 4,
Subtracting 8 from both sides,
The number is -7.
Answer: 3
Step-by-step explanation:
In theory we know that the equation of a linear function is expressed as
Eq.(1): y = m*x + c,
where m is the slope and c is a constant.
From the table we know the values of x and y, so we can use any of those, but in this case lets use the first and third rows of the table and substituting in Eq.(1) we obtain a 2-equation system as follow:
Point (-2,-2) gives: -2 = (-2)*m + c Eq.(2)
Point (0,4) gives: 4 = (0)*m + c Eq.(3)
Now rearranging Eq.(2) we get: -2 = -2*m + c <=> -2 - c = -2m Eq.(4)
Then rearranging Eq.(3) we get: 4 = 0 + c <=> c = 4
Plugging the value of c in Eq.(4) we get:
-2 = -2m + 4 <=> -2 - 4 = - 2m <=> -6 = -2m <=> m = 3
So finally and from Eq.(1) we obtain
y = 3x + c
Answer:
<h3>Q1</h3>
- This is acute angle since 75° < 90°
<h3>Q2</h3>
- This is an isosceles triangle
<h3>Q3</h3>
<u>Exterior angle is the sum of non-adjacent interior angles:</u>
- 4x + 7 + 6x - 9 = 118
- 10x - 2 = 118
- 10x = 120
- x = 12
m∠L = 4*12 + 7 = 48 + 7 = 55°
<h3>Q4</h3>
<u>The triangles are congruent and corresponding sides are equal:</u>
- 3x - 5 = 2x + 1
- 3x - 2x = 1 + 5
- x = 6
<u>Side lengths are:</u>
Answer:
Step-by-step explanation:
Let the unknown number be x.
12+24=2(6+x)
Switch sides.
2(6+x)=12+24
Expand brackets.
12+2x=12+24
Subtract 12 from both sides of the equation.
12+2x-12=12+24-12
2x=24
Divide both sides of the equation by 2.
(2x)/2=24/2
x=12
