Answer:
See the proof.
Step-by-step explanation:
<u>Statement </u><u> </u><u> Reason</u>
1.∠1 and ∠2 are supplementary angles --- Given
2. m∠1 + m∠2 = 180° --- Linear pair, they are supplementary
3. m∠1 and m∠3 are supplementary angles -- m∠1 + m∠3= 180
(Supplementary angles add upto 180 degrees)
4. m∠1 and m∠3 ------ Exterior sides in opposite rays
5. m∠1 + m∠2 = m∠1 + m∠3 ------ Transitive property
6. m∠2 = m∠3 -------------- Subtraction property
7. l || m ------------- If two lines are cut by transversal the alternative interior
angles are the same, then the lines are paralle.
Thank you.
Answer: 5.17, -0.67
Step-by-step explanation: Solve the equation for p by finding a, b, and c of the qudratic then applying the qquadratic formula
Excact Form: p = 9 + √137/4, 9 - √137/4
Decimal Form:
p = 5.17617497 . . . , -0.67617497 . . .
Hope this helps! :)
~Zane
Add 1/6 teaspoon and 1/8 teaspoon. The LCD here is 24, so we're adding
4/24 to 3/24, obtaining 7/24 (teaspoon of pepper, total).
Answer:
C. hyperbola; 
Step-by-step explanation:
The given conic has equation:
Divide through by 225.
This is a hyperbola centered at the origin.
The hyperbola has been translated from the origin to (0,5).
The translated hyperbola will have equation;
Multiply through by 225.
Expand
Rewrite in general form;
Answer:
y=1/2x+3
Step-by-step explanation:
So the slope formula is y=mx+b. Where mx is the slope and b is the y-intercept. In this case our slope is 1/2 because we rise by one unit and run by 2 units. The y-intercept in this case is 3 because on the y axis the line intersects over 3.
Hopefully that helped :).
