Answer:
a. x = 12
b. x = 4
Step-by-step explanation:
a. RECTANGLE
ABCD is a rectangle, AC and BD are its diagonals.
Diagonals of a rectangle are congruent.
Therefore,
AC = BD
10x + 8 = 9x + 20
10x - 9x = 20 - 8
x = 12
b. RHOMBUS
Diagonal of a rectangle bisect opposite angles.
Therefore,
(5x + 3)° = (2x + 15)°
5x + 3 = 2x + 15
5x - 2x = 15 - 3
3x = 12
x = 12/3
x = 4
Answer:
Job 2
Step-by-step explanation:
Find how much job 1 pays for 1 hour:
(150 - 30) ÷ 8 = 15
Job 1 pays $15 per hour.
Assuming variable x stands for number of hours worked, job 2 pays $17 an hour.
Put job 1 into a similarly formatted equation:
Variable y = total pay
y = 15x + 30
Compare job 1 and 2:
Job 1: 15x + 30
Job 2: 17x + 25
Just by looking at the two expressions, there is no obvious higher paying job so let's try plugging in 8 hours for x:
15(8) + 30 = 150
17(8) + 25 = 161
$161 is more than $150 so job 2 pays more.
Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>What does the information want:</u>
<u>Let's gather some information</u>:
- ΔA'BC' and ΔABC are similar triangles
⇒ Angle B is shared by both triangles
⇒ Angle A' and A are the same, as they are both on parallel
lines, A'C' and AC, and both angles are formed with the
same line AB
⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles
<u>If they are similar triangles</u>:
⇒ their side lengths are proportional to each other
⇒ let's set up a proportion

⇒ let's set up a proportion

<u>Answer:</u>
- <u>x= 17.143</u>
- <u>y = 26.25</u>
Hope that helps!
#LearnwithBrainly
Answer:
1.25*10^-4
2*10^-4
3.25*10^-10
Step-by-step explanation:
Answer:
to me it looks like B but i could be wrong
Step-by-step explanation: