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Elena-2011 [213]
3 years ago
14

Carlos performed a transformation on trapezoid EFGH to create E′F′G′H′, as shown in the figure below:

Mathematics
1 answer:
svp [43]3 years ago
8 0

Step-by-step explanation:

Rotation of 90° clockwise about the origin

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What is the area of the sector with a central angle of 97 degrees and a diameter of 10cm
vampirchik [111]

Answer:

21. 162 (rounded to nearest thousandth)

Step-by-step explanation:

Area of a sector: (degree/360) (pi*radius^2)

degree given= 97

radius= diameter/2 = 5

(97/360) (pi*5^2)

(97/360) (pi*25) = 21.16211718

4 0
3 years ago
A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standa
swat32
All our answers lie in the above statement.

Confidence Level:
The creator claims that 9 out 10 students will have the average score in the said range. Or in other words we can say that the creator is 90% confident about the result of the field test. So the confidence level is 90%. 

Margin of Error:
The average score lies within 4% of 70%. This means the margin of error is 4% i.e. the average scores can deviate from 70% by 4% .

Confidence Interval:
Lower Limit = 70% - 4% = 66%
Upper Limit = 70% + 4% = 74%

Interpretation:
The exam creator is 90% confident that the average scores of seniors will be between 66% and 74%. 
4 0
3 years ago
Lenny thinks the following expressions are equivalent:
julia-pushkina [17]

Yes, he is correct, using the distributive property you get the same answer

3 0
4 years ago
Read 2 more answers
Jose set a goal of saving at least $200 in a savings account. He currently has $60 in the
Dovator [93]
It will take him 28 weeks. If he already has $60 of $200 saved, you would do 200 - 60. That would give you 140. To find out how long it would take him to make $140, you would have to do 140 divided by 5 to get the number of weeks.
4 0
3 years ago
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State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement
valentinak56 [21]

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

7 0
3 years ago
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