Answer:
Theresa's height=60 inches
Paul's height= Steve's height=74 inches
Step-by-step explanation:
Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa ?
Let
p=paul's height
s=steve's height
t=theresa's height
Paul's height = Steve's height
p=s
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height
1 1/2 * t -16
=3/2t -16
Steve says he is 6 inches shorter than 1 1/3 times Theresa's height
1 1/3 * t - 6
=4/3t - 6
P=S
3/2t -16 = 4/3t - 6
Collect like terms
3/2t-4/3t= -6+16
9t-8t/6 =10
t/6=10
Cross product
t=60
Theresa's height=60 inches
P=3/2t -16
=3/2(60) -16
=180/2 -16
=90-16
=74 inches
p=s
Paul's height=74 inches
Answer:
Right triangle
Step-by-step explanation:
Properties for acute, obtuse or right triangle,
1). Given triangle will be a right triangle if,
Hypotenuse² = (Leg 1)² + (Leg 2)²
2). Triangle will be an acute triangle if,
(Largest side)² < (leg 1)² + (leg 2)²
3). Triangle will be an obtuse triangle if,
(Largest side)² > (leg 1)² + (leg 2)²
Now we apply these properties in the given triangle,
(Largest side)² = (√11105)²
= 11105
(leg 1)² = (76)²
= 5776
(leg 2)² = (73)²
= 5329
Since 11105 = 5776 + 5329 (First Property)
11105 = 11105
Therefore, given triangle is a right triangle.
<em>Every vector space is an abelian group under addition. It's an axiom</em>
<h3>Proof:-</h3>
For question 7 the answer is x=0.5
10 square inch
2 times 5
2+2+2+2+2
