Answer: 5
Step-by-step explanation:
Since
, by the corresponding angles theorem,
. This means
by AA.
As corresponding sides of similar triangles are proportional,

However, as distance must be positive, we consider the positive solution, x=5.
Therefore, the answer is <u>5</u>
Answer:
Angle 1 = 85*
Angle 3 = 85*
Angle 4 = 95*
Angle 5 = 85*
Angle 6 = 95*
Angle 7 = 85*
Angle 8 = 95*
Step-by-step explanation:
Since angle 2 is 95*, angle 4 would be the exact same. Now you add 95+95=190 and subtract that from 360. 360-190=170. Then divide 170 by 2= 85 to get the measurements for 1 and 3.
Answer:
25% increase
Step-by-step explanation:
length is 24 inches after the increase and width is 33 inches (i did length as up and down and width as side to side, that's how I always do it but I might be wrong let me know and I can fix it)
the area before it gets increased it 600
after the increase its 792
and 600 is 75.75% of 792
so it would be 25.25% increase
sorry this was so long hope this helps
Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
<u>Recall</u><u> </u><u>:</u>
<u>At</u><u> </u><u>10mph</u><u> </u><u>:</u>
- Distance = 10 × (t + 3) = 10t + 30 - - - (1)
<u>At</u><u> </u><u>12</u><u> </u><u>mph</u><u> </u><u>:</u>
- Distance = 12 × (t - 2) = 12t - 24 - - - - (2)
<em>Equate</em><em> </em><em>(</em><em>1</em><em>)</em><em> </em><em>and</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em><em>:</em>
10t + 30 = 12t - 24
<em>Collect</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em>
10t - 12t = - 24 - 30
-2t = - 54
<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em> </em><em>2</em>
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
Learn more : brainly.com/question/25669152
Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.
To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
x = [ -7 ± √(49 - (-180) ) ] / ( -10 )
x = [ -7 ± √(229) ] / ( -10)
x = [ -7 ± sqrt(229) ] / ( -10 )
x = 7/10 ± -sqrt(229)/10
The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.