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:
Rene made = 90 on her math test
If she answer =20problems correctly
we know,
how many problem were there = ?
there where = 90-20
= 70
There where 70 problems
Answer:
The runner's unit rate is 0.09 miles/minute.
Step-by-step explanation:
Given:
Distance cover by runner = 8 miles and the time taken = 92 minutes.
Now, to calculate the runner's unit rate.
We put the formula to get the unit rate:
Velocity = distance/time



v = 0.09 miles/minute (approximately)
Therefore, the runner's unit rate is 0.09 miles/minute.
Answer:
26 over 3 =2
------ = 8.667
3
Convert mixed number to improper fraction
5 and 3 over 45
3
4
= ( 5 × 4 ) over 4
5 × 4
4
+ 3 over 4
3
4
= ( 20 + 3 ) over 4
20 + 3
4
= 23 over 4
23
4
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 11 over 122
11
12
= ( 2 × 12 ) over 12
2 × 12
12
+ 11 over 12
11
12
= ( 24 + 11 ) over 12
24 + 11
12
= 35 over 12
35
12
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
23 over 4
23
4
+ 35 over 12
35
12
= ( 23 × 3 ) over ( 4 × 3 )
23 × 3
4 × 3
+ ( 35 × 1 ) over ( 12 × 1 )
35 × 1
12 × 1
= 69 over 12
69
12
+ 35 over 12
35
12
12 is the least common multiple of denominators 4 and 12. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
69 over 12
69
12
+ 35 over 12
35
12
= ( 69 + 35 ) over 12
69 + 35
12
= 104 over 12
104
12