Answer:
x = 10
Step-by-step explanation:
3x - 5 = 2x + 5
Both triangles equal 25
Subtract 2x → You get left with x
x -5 = 5
Add five... which leaves you with↓
x = 10
Then substitute x for 10
(3 · 10) - 5
25
(2 · 10) + 5
25
You know this is true because they equal each other.
I hope this could help!!
The absolute value of B is 1 3/5 because although B is in the negatives, absolute value makes it positive.
Answer:
63.5
Step-by-step explanation:
The diagonals of a rhombus bisect opposite angles.
The longer diagonal bisects the 42° angle
The larger angle of the rhombus is 180 - 42 = 138
Let x = the length of the longer diagonal
You know two sides and the included angle of a triangle.
Using the law of cosines we get

x^2 = 34^2 + 34^2 - 2(34)(34) cos 138
= 1156 + 1156 - 2312 c0s 138
= 4030.1508...
x = sq rt 4030.1508...
= 63.5
Answer:
2 gigabytes of data
Step-by-step explanation:
Given
Amount Jason keeps per month = $68.90
Cost of flat per month = $60.50
Balance for data = 68.90-60.50
Balance for data = $8.40
If 1Gigabyte = $4
x = $8.40
Cross multiply
4x = 8.40
x = 8.40/2
x = 2.20
Hence Jason can only use 2 gigabytes of data while staying within his budget
Answer:
y-1 = 5(x+8)
Step-by-step explanation:
The standard equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Given
Slope m = 5 (assumed value)
Point (-8,1)
Substitute the given data's into the formula
y -1 = 5(x-(-8))
y-1 = 5(x+8)
Hence the required equation is y-1 = 5(x+8)