Answer:
1. m<5 = 114
2. m<6 = 68
3. m<2 = 64
Step-by-step explanation:
<u>Question 1:</u>
<1 = <4 because of Vertical Angles Theorem
< 4 = <5 because of Alternate Interior Angles Theorem
Hence, <1 = <5
Since m<1 = 114: m<5 = 114.
<u>Question 2:</u>
<3 = <6 because of Alternate Interior Angles Theorem
Since m<3 = 68: m<6 = 68
<u>Question 3:</u>
<2 = <7 because of Alternate Exterior Angles Theorem
Since m<7 = 64: m <2 = 64
Hope this helped! If not, let me know! <3
Answer:
Step-by-step explanation:
Remark
Let the shorter base = x
Let the longer base = 3x
h = 5
Area = 60
Formula
Area = (b1 + b2)*h /2
Solution
60 = (x + 3x)*5 / 2 Multiply both sides by 2
2*60 = (x + 3x)*5 Combine like terms
120 = 4x *5
120 = 20x Divide by 20
120/20 = x
x = 6
Therefore the two bases are
x = 6
3x = 18
X2+4x−5<span>5<span>x2</span>−8x+3</span>×<span><span>20x−12</span><span><span>x2</span>−6x−55</span></span>
start by doing some factoring
<span><span><span>(x+5)(x−1)</span><span>(x−1)(5x−3)</span></span>×<span><span>4(5x−3)</span><span>(x−11)(x+5)</span></span></span>
cancel common factors and then see whats left...
So you cancel (x+5) and 4(5x-3)?
Answer:
Step-by-step Explanation:
Answer:
32.25
Step-by-step explanation:
For 40 gallons of gas = $86
For 1 gallon of gas = 86/40 = $2.15
For 15 gallons of gas = 15 x 2.15 = 32.25