Answer:
Step-by-step explanation:
In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.
Hence <1 = <3
Given < 1 = 3x-1 and <3 = 2x+9
Hence 3x-1 = 2x+9
collect like terms
3x-2x = 9+1
x = 10°
Since <1 = 3x-1
on substituting x = 10
<1 = 3(10)-1
<1 = 30-1
<1 = 29°
<1+<2 = 180 (angle on a straight line)
29+<2 = 180
<2 = 180-29
<2 = 151°
Similarly, on substituting x = 10 into <3
<3 = 2x+9
<3 = 2(10)+9
<3 = 20+9
<3 = 29°
<3+<4 = 180 (angle on a straight line)
29+<4 = 180
<4 = 180-29
<4 = 151°
Given:
To find:
The value of x.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Since,, therefore
On substituting the values from the figure, we get
On cross multiplication, we get
Therefore, the value of x is 4.
X=-8,3.
divide all terms by the two in the first term to get x^2+5x-24=0. Then find the factors. To do so, find what two numbers can be multiplied to get 24, and whether those two numbers can be added or subtracted to get the middle term (5). Since 8x(-3)=24 and 8-3=5, (x+8) and (x-3) are the factors. Then set the factors equal to zero. Add or subtract these numbers to the other side of the equation and you then get x=-8,3. These are the roots.
Answer:
$31.25
Step-by-step explanation:
Let's set up an equation.
$220. 28 - total
$126.53 - cost for parts
3 - # of hours
? - price per hour
3h + $126.53 = $220.28
Subtract $126.53 from both sides.
3h = $93.75
Divide by 3.
h = $31.25
The mechanic charges $31.25 per hour for labor.
Hope that helps.
Answer:
Step-by-step explanation:
Hi there!
We are given the points (2, 7) and (-6, -2). We want to find the distance between them. To do that, we can use the distance formula
The distance formula is given as 
, where 
and 
are points
We have 2 points, which is what we need to find the distance, but let's label their values to avoid any confusion
Now substitute those values into the formula:
Simplify the values under the radical:
Raise to the second power:
Add the numbers under the radical together
The answer can be left as that, as the radical cannot be simplified.
Hope this helps!
