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mina [271]
2 years ago
6

What is the measure of DF?

Mathematics
2 answers:
Lisa [10]2 years ago
5 0

Answer:

The correct answer is second option

3.2

Step-by-step explanation:

It is given that, Coordinates of triangle ABC,

A(0, 1), B(0, 2) and C(3, 2)

ΔABC ≅ ΔDEF

Therefore we can write, AB = DE, BC = EF and AC = DF

<u>To find the measure of DF</u>

DF = AC

(0, 1) C(3, 2)

By using distance formula,

AC = √[(3 - 0)² + ( (2 - 1)²]

 = √(9 + 1) = 3.16≈ 3.2

Vera_Pavlovna [14]2 years ago
4 0
BC= DF

B(0,2) , C(3,2)

d= (3-0)^2 + (2-2)^2
d= 9
Square root 9= 3

DF = 3
Hope this helps!
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Given
kolbaska11 [484]

Answer:

  ∠CBD = 125°

Step-by-step explanation:

The angle sum theorem tells you that ...

  ∠ABC +∠CBD = ∠ABD

  8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°

  17x -24° = 180° . . . simpify

  17x = 204° . . . . . . add 24°

  x = 12° . . . . . . . . . . divide by 17

Now the measures of the angles can be found from their expressions.

  ∠ABC = 8(12) -41° = 55°

  ∠CBD = 9(12) +17° = 125°

4 0
3 years ago
PLEASE HELP ASAP!!
Julli [10]

To find the percentage,we need to form a fraction first:

The nominator would be: the students who have not blue eye and were not wearing orange at the same time (50)

The denominator: students with not blue eyes (20)

Hence we can form the fraction: 20/50

To find the percentage, we can multiply the fraction by 100%:

20/50x100%

=2/5 x 100%

= 200/5 %

= 40%

Therefore the answer is 40%.

Hope it helps!

8 0
3 years ago
I need help on this on this onr too anyone mind helping?
V125BC [204]
The correct answer should be 23 3/4 miles
I hope this helps
YOU'RE WELCOME :D
4 0
3 years ago
Use the distributive property of multiplication to find 6 x 32
bekas [8.4K]

Answer:

..................

Step-by-step explanation:

2(3 + 16)

6 0
3 years ago
Can someone please answer these 2 questions.
Volgvan

Answer:

The cross section of sphere is circle

Area of cross section = 25 in²

Step-by-step explanation:

From the figure we can see a cylinder with height 8 inches and volume 200 π in³.

<u>The cross section of the cylinder looks like a circle.</u>

<u>To find the area of cross section</u>

Volume of cylinder = Cross section area * Height

200 = cross section area * 8

cross section area = 200/8

 = 25 in²

Area of cross section = 25 in²

7 0
3 years ago
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