Let's solve your system by substitution.
y=2x+1;y=4x−1
Step: Solve y=2x+1for y:
y=2x+1
Step: Substitute2x+1foryiny=4x−1:
y=4x−1
2x+1=4x−1
2x+1+−4x=4x−1+−4x(Add -4x to both sides)
−2x+1=−1
−2x+1+−1=−1+−1(Add -1 to both sides)
−2x=−2
−2x
−2
=
−2
−2
(Divide both sides by -2)
x=1
Step: Substitute1forxiny=2x+1:
y=2x+1
y=(2)(1)+1
y=3(Simplify both sides of the equation)
Answer:
x=1 and y=3
Applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
<em><u>Recall:</u></em>
- Alternate angles are congruent and have equal angle measures.
- Angles on a straight-line = 180 degrees.
<em>The diagram showing the information and sketch of the Highland Park is attached below (see attachment).</em>
<em />
<em><u>Thus:</u></em>
m<BAC = 36° (given)
m<BCE = 60° (given)
<ACD = <BAC (alternate angles)
m<ACD = 36°
m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)
m<ACB = 180° - (36° + 60°)
m<ACB = 84°
Thus, applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
<u></u>
<u></u>
Learn more here:
brainly.com/question/15234579
Answer:
24 and 25
Step-by-step explanation:
- 24 + 25 = 49
I hope this helps!
The area of a trapezoid is calculated using the formula: 1/2(a + b)h. The diagram shows that base number one (a) is 8.5 dm and base number two (b) is 26.5 dm. The height is 9 dm. Substitute these values into the formula.
1/2(8.5 + 26.5) * 9, add 8.5 and 26.5 inside the parentheses.
1/2(35) * 9, you can now solve from left to right. Multiply 1/2 and 35.
17.5 * 9, multiply to get your final answer. The area of the trapezoid is C. 157.5 dm^2.
