Answer:
<T = 83
Step-by-step explanation:
In a parallelogram <M = < P and < N = <T (opposite angles are congruent)
We also know that <M + <N = 180 ( consecutive angles are supplementary)
<M + <N = 180
6x+10 + 5x+10.5 = 180
Combine like terms
11x+20.5 = 180
Subtract 20.5 from each side
11x +20.5-20.5 = 180-20.5
11x = 159.5
Divide each side by 11
11x/11 = 159.5/11
x=14.5
We can find <N
<N = 5x+10.5
= 5(14.5)+105
=72.5 +10.5
= 83
<N = <T = 83
B. 2x – 8y = -4
C. 4x – 2y = -8
D. 4x - 2y = 8
Answer:
D
slope is 2 and y-intercept is (0, -4)
Step-by-step explanation:
4x-2y= 8 move variable x to the right (change signs)
- 2y= -8 + 4x Divide both sides by 2
y= -4 + 2x reorder terms using communitive property
y = 2x -4
y= mx + b
Answer:
1/3
Step-by-step explanation:
In the coin there is heads or tails (2 possible results), so the probability of tossing heads is 1/2
For the number cube, we have 6 possible results. If we want a result greater than two, we have 3, 4, 5 or 6, so we have 4 of the 6 results, then the probability is 4/6.
Now, to find the final probability, we multiply both probabilities above:
Probability = (1/2) * (4/6) = 2/6 = 1/3
Mike saves $36 by buying the shirts at a discounted price.
The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Given the offer,
By 1 at regular price ($45) and get 40% off on two shirt
40 % of 45 ⇒ 0.40 × 45 = $18
So shirt price = 45 - 18 = $27/each
Since 2 shirt buy at this price = 2 × 27 = $54
Money saved = 2×45 - 54 = $36
Hence "Mike saves $36 by buying the shirts at a discounted price".
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Given question is incomplete complete question is ;
Answer:
54
Step-by-step explanation: