Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:


Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:

13 = x
Verify whether x = 13 is the correct value:




This shows the proportional relationship between
, and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
Answer:
Fraction: 23/100
Decimal: 0.23
Percent: 23%
Step-by-step explanation:
Hope this helps!
Answer:
0$
Step-by-step explanation:
If he spent all of his money, than he has nothing left.
Answer:

Step-by-step explanation:
Given a triangle.
One of the angles is
more than 5 times of one angle.
Third angle is
more than the difference of two angles.
To find:
The angles.
Solution:
Let the first angle = 
As per question statement, second angle = 5
+ 
And third angle = 5
+
-
+
= 
Using triangle sum property that the sum of all the internal angles of a triangle is always equal to
.

Therefore, the first angle = 
The second angle = 
The third angle = 
Therefore, the angles are
.
The error that Loren made is C. She should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b.
<h3>What is an equation?</h3>
It should be noted that an equation is a statement that shows that two mathematical expressions are equal.
In this case, for Loren to find the slope, this will be:
m = y2 - y1/x2 - x1
= (149 - 130)/(10 - 1)
= 19/9
In this case, the error that Loren made is that she should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b.
Learn more about equations on:
brainly.com/question/13763238
#SPJ1