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3 years ago

in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ

1 answer:

3 0

Angle PQM = Angle XYN
Angle PQR = Angle XYZ - 1
Triangle PQR Triangle XYZ
PQ. =. XY. (Given)
Angle PQR. =. Angle XYZ. (From 1)
QR. =. YZ. (Given)
SAS Congruence rule
Triangle PQR = Triangle XYZ

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The radius of Circle A is 6 mm. The radius of Circle B is 4 mm greater than the radius of Circle A. The radius of Circle C is 2

labwork [276]

Answer:

Area of circle A =113.14 mm²

Area of circle b = 314.29 mm²

Area of circle C = 452.57 mm²

Area of circle A = 254.57 mm²

2.25 times

Step-by-step explanation:

Area of a circle = nr²

where n = 22/7

r = radius

Circle A's radius = 6mm

Circle B's radius = 6mm + 4mm = 10mm

Circle C's radius = 10mm + 2mm = 12mm

Circle D's radius = 12mm - 3mm = 9mm

Area of circle A = (22/7) x 6² = 113.14 mm²

Area of circle b = (22/7) x 10² = 314.29 mm²

Area of circle C = (22/7) x 12² = 452.57 mm²

Area of circle A = (22/7) x 9² = 254.57 mm²

Number of times the area of circle D is greater than that circle A = Area of circle D / Area of circle A

254.57 mm² / 113.14 mm² = 2.25 times

4 0

3 years ago

Compare and Contrast how you would factor x^2−9 and x^2+9. For full credit, make sure you explain why they are factored differen

marishachu [46]

The factored form of the expression $x^2 - 9$ is $(x+3)(x-3)$

The expression x^2 + 9 has no real roots hence cannot be factored

Quadratic equations are equations with a degree of 2.

Given the quadratic function $x^2-9 \ and \ x^2+9$

For the function $x^2 - 9$

$=x^2-9\\=x^2-3^2$

Using the difference of two squares:

$a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)$

For the expression x^2 + 9

The expression x^2 + 9 has no real roots hence cannot be factored

Learn more on factorization here: brainly.com/question/20293447

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3 years ago

What is greater 6.67 or 6.670

Nitella [24]

Answer:

They are the same

Step-by-step explanation:

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3 years ago

Drawing it out would be best can you help me please

leva [86]

Answer:

$z_1+z_2$ = (-2,5)

Step-by-step explanation:

To Find: $z_1+z_2$

Solution :

Referring the given graph

We can find the coordinates of $z_1$ and $z_2$

Coordinates of $z_1$ = (-7,1)

Coordinates of $z_2$ = (5,4)

Thus Coordinates of $z_1+z_2$ = (-7+5,1+4) = (-2,5)

Thus $z_1+z_2$ = (-2,5)

So, the point $z_1+z_2$ = (-2,5) is shown on the attached graph file

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3 years ago

Factor by grouping 20p³+15p²+24p+18

ivolga24 [154]

(4p +3)(5p2 + 6) is your answer

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3 years ago

in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ​

in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ