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kaheart [24]
3 years ago
11

Given. 21 and 2 are complements, 22 and 23 are complements and mzt 35° Prove m23 35°

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0

Answer:

Step-by-step explanation:

By the congruent complements theorem , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of congruent  angles. Then, using the substitution property, the measure of angle 3 is 35 degrees.

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Anna drives 45 km to work each day.
Ivahew [28]

Answer:

<em>Anna drove at an average speed of 49.73 km/h</em>

Step-by-step explanation:

<u>Average Speed</u>

If an object moves at different speeds to cover a certain total distance dt in a total time tt, the average speed is:

\displaystyle \bar v=\frac{d_t}{t_t}

Anna drives a total distance of dt=45 km each day. One day she drives a distance of d1=25 km at v1=82 Km/h. The time taken for that distance is:

\displaystyle t_1=\frac{d_1}{v_1}=\frac{25}{82}=0.3049\ h

She takes t2=36 minutes to drive the remaining distance. 36 minutes is 36/60=0.6 h, thus the total time is:

t_t=0.3049\ h+0.6\ h=0.9049\ h

The average speed is:

\displaystyle \bar v=\frac{45}{0.9049}=49.73\ km/h

Anna drove at an average speed of 49.73 km/h

3 0
3 years ago
Which linear pair rule will not result in a congruent figure?
Rainbow [258]
Choice 4, (x,y) (2x,y) I think is the answer, because when you multiply 2 by x, you're expanding the shape
4 0
3 years ago
5.
Tasya [4]

Answer:

<STR = 38degrees

Step-by-step explanation:

Find the diagram attached

Complete Question:

In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?

Sicne triangle STR is isosceles, hence the base angles are equal. Let the base angles be y

y+y+104 = 180

2y = 180-104

2y = 76

y = 38degrees

Since <STR = y, hence the measure of <STR = 38degrees

8 0
3 years ago
Can someone please provide an answer with an explanation please?
Elden [556K]

Answer:

7 is the card that must be removed.

Step-by-step explanation:

2 + 5 + 8 + 9 = 24 and dividing it by four (which is something you have to do when finding the average or mean) will get you 6 as an answer. So by getting rid of 7 you have a final mean as 6.

5 0
3 years ago
2. A triangular prism has a base area of 27 square inches and a height of 13 inches. What is the
guajiro [1.7K]

Answer:

A.)351 cubic inches

Step-by-step explanation:

The computation of the volume of the prism is shown below:

As we know that

Volume of the prism is

= Base × height

= 27 square inches × 13

= 351 cubic inches

hence, the first option is correct

And, the rest of the options are wrong

5 0
3 years ago
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