All categories

3 years ago

Use the AA similarity Postulate to prove the diagram has two similar

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

Answer:

Triangle PRT is similar to triangle SRQ

Step-by-step explanation:

AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

one angle is already given : angle RPT congruent to angle RSQ

The other is : angle TRP congruent to angle SRQ (both triangles share the same angle)

Triangle PRT is similar to triangle SRQ (AA postulate)

You might be interested in

Convert 3.5km to meters

tatuchka [14]

The answer is 3500 meters.
1 km = 1000 meters. This means that 3.5 x 1000 = 3500

6 0

3 years ago

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m

densk [106]

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled $\frac{15*32}{60} = \frac{32}{4} = 8\text{km}$

So, his position after t minutes can be modeled by the following function:

$J(t) = 8 + 32t$

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

$M(t) = 52t$

At what time did she catch up with Jorden,

She catches up t minutes after 6:15 AM.

t is found when

$M(t) = J(t)$

$8 + 32t = 52t$

$20t = 8$

$t = \frac{8}{20}$

$t = 0.4$

0.4 of an hour is 0.4*60 = 24 minutes.

So she catched up with Jordan after 6:15 AM + 24 minutes = 6:39 AM

4 0

3 years ago

Which equation is the inverse of 5y+4 = (x+3)^2 +1/2?

maxonik [38]

Answer:

Answer D

Explanation:

To simply find the answer, you need to a: solve for y ; b: Find the square root of both sides ; c: solve the equation.

Hope this helps.

7 0

3 years ago

Read 2 more answers

An international phone call costs $12.61 for 32 minutes minutes. How many cents per minute?

lilavasa [31]

32/12.61=2.537668517

8 0

3 years ago

Read 2 more answers

What is the solution to the following system of linear equations?

Lostsunrise [7]

x − 2y = −1 => x = 2y -1

2x + y = −12
2(2y - 1) + y = -12
4y - 2 + y = -12
5y = -10
y = -2
x = 2·(-2) - 1
x = -4 - 1
x = -5

Answer D (-5,-2)

8 0

4 years ago