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Masteriza [31]
3 years ago
15

Geoffrey wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals.

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
5 0
The correct answer is (SAS) I was just working on this and got it correct.
Nonamiya [84]3 years ago
4 0
<span>the answer
The triangle congruence says triangle ERT is congruent to triangle CTR. </span>
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Please answer the question attached, marking brainliest (serious answers only)
Mandarinka [93]

Step-by-step explanation:

By Exterior Angle Theorem,

81° + b = 117°.

=> b = 117° - 81° = 36°.

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Find the slant height of a cone whose height is 15 cm and whose radius is 8 cm​
Oksana_A [137]

Answer:

Right circular cone

Solve for slant height

l=17cm

r Radius

8

cm

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2 years ago
A friend gives you two baseball cards for your birthday. Afterward, you
lora16 [44]

Answer:

The slope is 4x while the y-intercept os 2.This equation represents starting with 2 and adding 4x cards each week.

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Kryger [21]

Step-by-step explanation:

distance AB is (using Pythagoras with the coordinate differences between both points as sides and the distance as Hypotenuse = baseline of the triangle, the side opposite of the 90 degree angle):

distance² = (5 - -10)² + (7-2)² = 15² + 5² = 225 + 25 = 250

distance = sqrt(250)

to split this distance into a 3/2 ratio, we need actually 3+2=5 equal parts. and then AM gets 3 off these parts, and MB gets 2 of these parts.

so,

distance/5 = sqrt(250)/5 = sqrt(250/25) = sqrt(10)

so,

AM = 3×sqrt(10) = sqrt(90),

and

MB = 2×sqrt(10) = sqrt(40)

now, we need to calculate back using the same Pythagoras approach (calling the coordinates of M xm and ym)

AM² = (xm - -10)² + (ym - 2)² = (xm+10)² + (ym-2)² = 90

90 = xm² + 20xm + 100 + ym² - 4ym + 4

MB² = (5 - xm)² + (7 - ym)² = 40

40 = 25 - 10xm + xm² + 49 - 14ym + ym²

as a first approach we calculate AM² - MB²

90 = xm² + 20xm + ym² - 4ym + 104

- 40 = xm² - 10xm + ym² - 14ym + 74

----------------------------------------------------

50 = 0 + 30xm + 0 + 10ym + 30

20 = 30xm + 10ym

2 = 3xm + ym

ym = 2 - 3xm

this we use now e.g. in the first equation for AM.

90 = xm² + 20xm + (2-3xm)² - 4×(2-3xm) + 104

-14 = xm² + 20xm + 4 - 12xm + 9xm² - 8 + 12xm

-10 = 10xm² + 20xm

-1 = xm² + 2xm

xm² + 2xm + 1 = 0

solving such a squared equation

xm = (-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = 2

c = 1

xm = (-2 ± sqrt(4 - 4))/2 = -1

only one combined solution (as a squared equation usually has 2 solutions).

ym = 2 - 3xm = 2 - 3×-1 = 2 + 3 = 5

so, M = (-1, 5)

8 0
2 years ago
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