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2 years ago

How do I know if it’s similar, congruent or neither?

Mathematics

1 answer:

Phantasy [73]2 years ago

5 0

Answer:

These two triangles are congruent.

Step-by-step explanation:

You know this bc the markings on the drawing show that Angle B and Angle D are congruent. Also that AB is parallel to CD. This means that Angle BAC and Angle DCA are congruent by ALTERNATE INTERIOR ANGLES. Also, AC is congruent to itself. That makes the two triangles congruent by ANGLE-SIDE-ANGLE.

Now, you need to know that "congruent" triangles (and shapes in general) are the same size and shape. "Similar" triangles (shapes) are the same shape but not necessarily the same size.

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A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a

DENIUS [597]

Answer:

A(x) = x(200-x)

Step-by-step explanation:

400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet

If x is length and y is breadth. Perimeter is given by :

P = 2(x+y)

400 = 2(x+y)

⇒ (x+y) = 200 .....(1)

y = 200-x

Area of a rectangle is given by :

A = xy

A(x) = x(200-x)

Hence, the area as a function of length of rectangle is x(200-x).

3 0

3 years ago

Point

klemol [59]

Answer:

6.5 bottles

Step-by-step explanation:

convert liters to ml 1 bottle= 1000ml

divide how much she drank by 1000ml

6500÷1000=6.5

4 0

4 years ago

Use long division to find the quotient below (8x^3+20x^2+36)/(2x+6)

blsea [12.9K]

Answer: 14x - 42

Hope this helps!

6 0

2 years ago

URGENT URGENT helppps plz

Murljashka [212]

Answer:

1) Bigger sector = 168.8pi

1) Smaller sector = 56.3pi

2) Bigger sector = 529.9

3) Smaller sector = 176.6

Step-by-step explanation:

1) Bigger sector = $\frac{270}{360}$ ×pi×15×15

= 168.75pi

1) Smaller sector = $\frac{360-270}{360}$ ×pi×15×15

= $\frac{90}{360}$ ×pi×15×15

= 56.25pi

2) Bigger sector = $\frac{270}{360}$ ×3.14×15×15

= 529.875

2) Smaller sector = $\frac{360-270}{360}$ ×3.14×15×15

= $\frac{90}{360}$ ×3.14×15×15

= 176.625

6 0

3 years ago

A time for the 100 meter sprint of 14.9 seconds at a school where the mean time for the 100 meter sprint is 17.6 seconds and the

kirza4 [7]

Answer:

Z-score = -1.285

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.6 seconds

Standard Deviation, σ = 2.1 seconds

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

For x = 14.9, we have:

$z_{score} = \displaystyle\frac{14.9-17.6}{2.1} = -1.285$

A z-score to be unusual if its z-score is less than -2.00 or greater than 2.00.

Thus, the z-score is not unusual as it lies in the range [-2.00, 2.00]

6 0

3 years ago