Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get
Now in Δ PQT and Δ QRS we have
Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
Answer:
f(-5) = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² + 10
f(-5) is x = -5
<u>Step 2: Evaluate</u>
- Substitute: f(-5) = (-5)² + 10
- Exponents: f(-5) = 25 + 10
- Add: f(-5) = 35
Answer:
$6 per week (ratio 6/1)
Step-by-step explanation:
18/3=6
30/5=6
Answer:
Mark up = 33.33%
Step-by-step explanation:
Given that:
buying price = $75
selling price = $100
First we will find the difference between two prices:
Difference = 100 - 75 = $25
We will find now that 25 is what percent of 75 so:
=25/75* 100
= 0.333333 * 100
= 33.33%
So the store marked the price by 33.33% instead of 30%
i hope it will help you!
