Answer:
<em>x = 17°, m∠ A = 114°</em>
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
<em>x = 17 </em>⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
<em>m∠ A = 114</em>
<em>Solution; x = 17°, m∠ A = 114°</em>
Answer: 72 grams of tea
Step-by-step explanation:
From the question, we are informed that Yvette uses 6grams of tea leaves to make 24 fluid ounces of tea. This means that for 1 gram of tea leaves, she'll use:
= 24/6
= 4 fluid ounces of tea
Since, 1 gram of tea leaves will be used to make 4 fluid ounces of tea, therefore, the number of grams of tea leaves that will be used to make 288 fluid ounces of tea will be:
= 288/4
= 72 grams of tea
C = 8.5x + 6y
Rearrange the equation by making the side with x, be on the Left Hand Side (LHS)
8.5x + 6y = C
Subtract 6y from both sides of the equation
8.5x + 6y - 6y = C - 6y
8.5x = C - 6y
Divide both sides of the equation by 8.5
(8.5x/8.5) = (C - 6y)/8.5
x = (C - 6y)/8.5
I hope this helped.
Answer:
10000000000000000000000
Step-by-step explanation:
Answer:
9) P' will be at (-3, -6)
10) T' will be at (0, -1)
11) Quadrant IV
Step-by-step explanation:
9) point P is 3 units away from the y-axis and 6 units away from the x-axis; after reflecting over x-axis it will still be the same distances away from each axis but will be in a different quadrant
10) T is at (5, 6); if translated it will be at (5-5 , 6-7) or (0, -1)
11) a point or shape moves to a new quadrant every 90 degrees
