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Gre4nikov [31]
2 years ago
9

Complete the diagram below by filling in the measures of each angle

Mathematics
1 answer:
aksik [14]2 years ago
8 0

Answer:

Step-by-step explanation:

Since the 2 lines running the same direction are parallel to each other, as marked, then x + 32 and 2x + 1 are corresponding and they are also congruent. That means that they are equal in measure:

x + 32 = 2x + 1 and

x = 30. So the angles measure 62 degrees each. That means that each angle that is diagonal to these 2 angles also measure 62 degrees. The angles above and next to each of these 62 degree angles are supplementary, meaning they measure 180 - 62 which is 118 degrees.

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Find the amount to tip on a $67.99 dinner, when you tip 20%. Round to the nearest cent.
neonofarm [45]

Answer:

$13.60 for tip

$81.59 for total meal cost

Step-by-step explanation:

Meal = $67.99

tip is 20% so 0.20

67.99*0.20=13.60 tip

8 0
3 years ago
Explain how solving 8+2 can help you solve 80+20.
katrin [286]
Becuase 80 is the same as 8 but has an extra 0 at the end (which makes it 80) and same for 20 to 2. 8 + 2 = 10 (now add a zero at the end). The answer should be 100.
5 0
3 years ago
Read 2 more answers
Mr. Evans is considering offering a second after-school tutoring session for his math students each week. He records the number
horrorfan [7]

Answer:

The correct options are:

Four families said they ate out twice the previous week.

One family said they ate out 5 times the previous week.

The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families  

          0                                                          2

          1                                                           3

          2                                                          4

          3                                                           1

          4                                                           2

          5                                                           1

          6                                                            1

Hence, the range of the number line is between 0 to 6.

Also there are 4 dots above 2.

   Hence,  Four families said they ate out twice the previous week.

Also there is one dot above 5.

       Hence,  One family said they ate out 5 times the previous week.

The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

Hope it helped u!.... Btw can u plz mark me BRAINLIEST.. If it helped u?

Tysm!

4 0
2 years ago
(x+6)(x^2-7x+12)<br> Algebra addition problem to find the area.
lisov135 [29]

Answer:

=x^3-x^2-30x+72

Step-by-step explanation:

Distribute parentheses:

=xx^2+x\left(-7x\right)+x\cdot \:12+6x^2+6\left(-7x\right)+6\cdot \:12

Apply minus - plus rule:

=x^2x-7xx+12x+6x^2-6\cdot \:7x+6\cdot \:12

Simplified:

=x^3-x^2-30x+72

Its complicated but..

7 0
2 years ago
Read 2 more answers
What is the area of the sector bound by the center of the circle and arc CD in the circle below? Radius is 6 ft and central angl
ArbitrLikvidat [17]

The answer is 9.42 for the ones wondernig what it was! I calculated it and took the exam and it was correct.

8 0
3 years ago
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