Answer:
1: AAS, RQC 2: ASA, SRP
Step-by-step explanation:
(1) We are shown that two angles and one side are congruent in the order of AAS. Make sure you write the letters in terms of the corresponding angles. The angles and sides are congruent because the problem labels it for us. For example, B,A,C=R,Q,S. Answers: AAS, RQC.
(2) We are shown that two angles and one side are congruent in the order of ASA. Make sure you write the letters in terms of the corresponding angles again. For example, P,Q,R=P,S,R. The angles are congruent because the problem labels it for us. Side PR is congruent to side PR by reflexive property. Answers: ASA, SRP.
I hope this helped :) Good luck
Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.
The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)
The perimeter is 150yd, therefore
a + b + c = 150 (2)
Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)
From (2), obtain
c = 150 - a - b (4)
Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60
From (1), obtain
60b = 1500
b = 25
From (4), obtain
c = 150 - 60 - 25 = 65
Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.
Answer:
T=21
Step-by-step explanation:
Sorry if wrong
I hope this helps
Answer:
1.4
Step-by-step explanation:
The two consecutive integers are 2 and 3
<em><u>Solution:</u></em>
Let x and x + 1 are the two consecutive integers
Let "x" be the smallest integer
Let "x + 1" be the larger integer
<em><u>Given that, sum of 2 consecutive integers is one less than 3 times the smaller integer</u></em>
Therefore,
sum of 2 consecutive integers = one less than 3 times the smaller integer
sum of 2 consecutive integers = 3 times the smaller integer - 1
x + x + 1 = 3(x) - 1
2x + 1 = 3x - 1
3x - 2x = 1 + 1
x = 2
Thus the smaller integer = x = 2
Larger integer = x + 1 = 2 + 1 = 3
Thus the two consecutive integers are 2 and 3