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Harman [31]
3 years ago
5

Given:

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0

Triangle ASA's congruence theorems can be used in this ptoof

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Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the
docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let x be the miles in the circular park path, t_{L} the time Louisa takes to finish and t_{C} the time Calvin takes to finish both in hours.

Then x, the longitude is equal to the velocity times the time used to finish. So

x=5t_{L}

x=6t_{C}

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

t_{C}=t_{L}-0.5

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

5t_{L}=6t_{C}

In this last equation replace t_{C}  with the other equation and solve:

5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3

With Louisa's time find x:

x=5t_{L}\\ x=5(3)\\ x=15

7 0
3 years ago
According to the Holy Bible, Jesus begins to perform healings. There were many healers during Jesus’ time. What made Jesus’ heal
Gekata [30.6K]

Healing was essential to the ministry of Jesus because He envisioned healing as a physical symbol of forgiveness. He guaranteed the ultimate glory of the human body through His personal resurrection, but forecast that restoration by healing twisted, shrunken, blinded limbs and organs. The paralytic's restoration is but one of many such examples (Mark 2:1-12).

Though there were many healers, Jesus was able to even raise up the dead, and also there was one instance where the Canaanite woman struggled through His disciples' desire to dismiss her, and His own initial, courteous refusal, to get what she knew she could trust Him to grant (Matthew 16:28). The crowds "begged him to let the sick just touch the edge of his cloak," (Matthew 14:36), for "all who touched him were healed."

Healers were not able to do that, and Jesus also claimed that he was God's son, so performing miracles like this was like proving the point. Also, healers were not always able to heal the person, but Jesus was able to do so all the time (for free even!) so many people traveled to meet him so he could heal them.

The woman with a hemorrhage crept silently through the crowd to merely touch His clothes (Mark 5:28). She also claimed that she went to many healers, but she didn't get healed, in fact, she got worse! So that's an instance that proves the point.

<em>Thank you :D</em>

3 0
3 years ago
15 - 10 = _____(3 - 2) PLEASE HELP ON THIS IS DUE TODAY
telo118 [61]

Answer:

 15 - 10 = 5(3 - 2)

its 5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the value of x?<br> x = [ ? ]
Mnenie [13.5K]

Answer:

Step-by-step explanation:

The tangent to the angle makes an angle of 90° with the radius.

The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.

By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore

x = 60-30 = 30°.

4 0
3 years ago
Read 2 more answers
Home heating oil is sold by the gallon. Last winter, the Romano family used 370 gallons of oil at $2.56 per gallon. If the price
belka [17]

Answer:

$1030

Step-by-step explanation:

Last winter:

Total expense = 370 * 2.56 = $947.2

Next year,

price increases 9% per gallon

which means, per gallon cost is $2.7904

Approx. expense = 370 * 2.7904 = $1032.448 which is round down to $1030

4 0
3 years ago
Read 2 more answers
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