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3 years ago

Look at the figure shown below:

Mathematics

2 answers:

natali 33 [55]3 years ago

8 0

Answer:

Using SAS postulate, prove that triangles PQS and PRS are congruent.

Step-by-step explanation:

Just took the quiz.

boyakko [2]3 years ago

6 0

These are the steps, with their explanations and conclusions:

1) Draw two triangles: ΔRSP and ΔQSP.

2) Since PS is perpendicular to the segment RQ, ∠ RSP and ∠ QSP are equal to 90° (congruent).

3) Since S is the midpoint of the segment RQ, the two segments RS and SQ are congruent.

4) The segment SP is common to both ΔRSP and Δ QSP.

5) You have shown that the two triangles have two pair of equal sides and their angles included also equal, which is the postulate SAS: triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.

Then, now you conclude that, since the two triangles are congruent, every pair of corresponding sides are congruent, and so the segments RP and PQ are congruent, which means that the distance from P to R is the same distance from P to Q, i.e. P is equidistant from points R and Q

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Whoever responds first will get marked best!!!!!The Garcia family is driving from 3,272 miles from San Diego, CA ot Bar Harbor,

mojhsa [17]

Answer:

Step-by-step explanation:

We know that in 5 days they have travelled 2045 miles. This means that their per day average for travel is 2045/5=409 miles per day.

Now the distance left is 3272-2045=1227 miles.

And if we divide the average miles with the miles left, it gives us= 1227/409

So, the total time taken for travel will be= 5+3=8 days

I guess this is the way to do it.

8 0

2 years ago

Read 2 more answers

If asphalt pavement costs $0.70 per square foot, find the cost to pave the circular How much does it cost to pave this road?

Hunter-Best [27]

Answer:

Cost to pave the road = $4257

Step-by-step explanation:

Area of the pavement = Area of the outer circle - Area of the internal circle

Area of the outer circle = πr²

= π(55)²

= 3025π square feet

Area of the inner circle = π(33)²

= 1089π square feet

Area of the pavement = 3025π - 1089π

= 1936π

= 6082.12 square feet

Cost of pavement = $0.70 per square feet

Therefore, cost of 6082.12 square feet = 6082.12 × 0.70

= 4257.49

≈ $4257

Cost to pave the road = $4257

5 0

2 years ago

If x = - 4 , the value of y = - 6x

Klio2033 [76]

Answer:

y = 24

Step-by-step explanation:

Step 1:

y = - 6x Equation

Step 2:

x = - 4 Given

Step 3:

y = - 6 ( - 4 ) Input x value

Answer:

y = 24

Hope This Helps :)

4 0

3 years ago

A. Find the measure of m<1<br> B. Find the measure of m<1 ;m<2; m<3

natita [175]

Answer:

A: m<1 = 79 degrees

B: m<1 = 61 degrees, m<2 = 151 degrees, m<3 = 12 degrees

Step-by-step explanation:

A: An exterior angle is equal to the sum of the two opposite interior angles. 27+52 in this case.

B: The sum of the measures of the interior angles in a triangle is 180 degrees.

Since we know the two angles in the right trinagle are 90 and 29 degrees, we add them and subract the sum from 180 which gives us 61 degrees.

Applying what we know from part A, 61 degrees+90 degrees = m<2.

And, since we know m<2 = 151 degrees, we add that and the 17 degrees to then subtract that sum from 180 to get the measure of angle 3 which is 12 degrees.

3 0

3 years ago

Explain in words how you would graph the following inequality on a number line. 3x < 12 HELPPPPPPPPPPP PLSSSSSS

AnnyKZ [126]

Answer:

x<4

Step-by-step explanation:

3x < 12

Divide with 3 on each side

x< 4

In words x has all the real numbers that are less than 4 or x belongs to any number from -ve infinity to 4.

7 0

2 years ago