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pickupchik [31]
3 years ago
11

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)

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F ind the volume under the paraboloid z=9(x2+y2) above the triangle on xy-plane enclosed by the lines x=0, y=2, y=x
olga nikolaevna [1]

Answer:

The answer is 48 units³

Step-by-step explanation:

If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,

V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {z} \, dx dy\\V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {9(x^{2}+y^{2})} \, dx dy

Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,

V=9\int\limits^2_0 {4y^{3}/3} \, dy

After performing the elementary y integral we obtain the desired volume as below,

V= 48 units^{3}

4 0
3 years ago
The hire purchase cost of a radio is $6355. If the deposit is $1000 and the balance is to be paid in 9 equal instalments, each i
Zepler [3.9K]

Answer: $595

is the correct answer

4 0
3 years ago
Please answer both please please I’ll give brainly
Vilka [71]

Answer:

4.  9  

5.    5x

Step-by-step explanation:

its an isocoles

7 0
2 years ago
Can someone help wit this just find the value of x
Romashka-Z-Leto [24]
2x-2+x+5=90
3x+3=90
-3 -3
3x/3 =87/3
x=29
6 0
2 years ago
(-8+1.5)x4/5 <br><br> Help please
fenix001 [56]

Answer:

-5.2

Step-by-step explanation:

-8+1.5 = -6.5

-6.5 * 4/5 = -6.5 * 0.8 = -5.2

7 0
2 years ago
Read 2 more answers
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