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serious [3.7K]
3 years ago
6

A train travels 325 miles every 5 hours. What is the UNIT RATE of the train?

Mathematics
1 answer:
telo118 [61]3 years ago
8 0

Answer: The unit rate is 65 miles per hour.

Step-by-step explanation:

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What is the missing statement in the proof? Scroll down to see the entire proof.
Eva8 [605]

Answer: C. \angle BCA\cong \angle DCB is the missing statement.

Explanation: Given: ΔABC with m∠ABC = 90° (view diagram)

Prove: AB^2 + BC^2 = AC^2

Proof:  1. Draw BD\perp AC (construction)

 2. \angle ABC\cong\angle BDC  (Angles with the same measure are congruent.)

3. \angle BCA\cong \angle DCB (Reflexive Property of Congruence)

4. \triangle ABC\sim \triangle BDC  (AA criterion for similarity)

5. BC:DC=AC:BC  (Corresponding sides of similar triangles are proportional.)

 6.BC^2= AC\times DC  (cross multiplication)----------(1)

7. \angle ABC\cong \angle ADB (Angles with the same measure are congruent)

8. \angle BAC\cong \angle DAB (Reflexive Property of Congruence)

9. \triangle ABC\sim \triangle ADB  (AA criterion for similarity)

10.  AB:AD=AC:AB⇒AB^2=AC.AD --------------(2)

equation (1) + equation (2) ⇒AB^2+BC^2= AC(DC+AD)⇒AB^2+BC^2= AC^2


6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 3(2x + 1) — (x — 1)?
leonid [27]
The answer is C. 5x + 4
6 0
3 years ago
Which of the following is the equation of a line that passes through the point
sweet-ann [11.9K]
The answer would be b
7 0
3 years ago
What is the answer to this 14-2y=​
yaroslaw [1]

Answer:

y=7

Step-by-step explanation:

Assuming that the equation is 14-2y=0

We need to isolate 'y' variable to obtain its value, to do that, lets start by subtracting -14 to both sides of equality sign,

14-2y=0 is now this: 14-14-2y=0-14, which is equals to -2y=-14

Now, lets continue by dividing by -2 both sides of equality sign.

We have this

-2y/-2=-14/-2

y=7

Thus, we've obtained the value for 'y' variable

4 0
3 years ago
Need help which one is it <br> a)x=7<br> b)x=12<br> c)x=20
Svetach [21]

- you can use the pythagorean theorem for this.

a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

- square root this.

c = 20

therefore, x = 20.

so option C.

6 0
3 years ago
Read 2 more answers
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