Answer:
Step-by-step explanation:
Angles 3x+5, 75 and x all together make up 180 degrees (review "straight angles").
Thus, 3x + 5 + 75 + x = 180
Simplifying the left side, we get:
4x + 80 = 180, so that 4x = 100, and x = 25.
<KJL = 3(25) + 5 = 80 degrees
<NJM = 25 degrees
<MJL = 75 degrees
Answer:
$10 an hour
Step-by-step explanation:
Subtract the bonus to get the pay.
330-90=240
Divide 240 by 24 hours to get his rate of pay.
240/24=10
He gets $10 an hour.
Answer:
50
Step-by-step explanation:
Sally drove 300 miles in 6 hours, so all you have to do is divide 300 by 6.
300/6=50
Sally drove 50 miles per hour.
Have an amazing day...I hope this helped!! c:
Answer:

Step-by-step explanation:
The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.
The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,
.
Substitute,

Simplify,

Cross products,

Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,

Inverse operations,
