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4 years ago

Which sequence of transformations proves congruence from parallelogram EFGH to parallelogram

Mathematics

2 answers:

BARSIC [14]4 years ago

6 0

Answer:

Step-by-step explanation:

egoroff_w [7]4 years ago

6 0

Answer:

its definitely D hope I helped

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Calculate the area of the shaded region.

Nostrana [21]

Let $A$ be the area of the sector in the larger circle (radius 12 cm) whose central angle is subtended by the labeled arc with measure 45 deg, and let $a$ be the area of the sector in the smaller circle (radius 8 cm) with the same central angle. The area you want is $A-a$ .

We have

$\dfrac A{\pi(12\,\mathrm{cm})^2}=\dfrac{45^\circ}{360^\circ}\implies A=18\pi\,\mathrm{cm}^2$

$\dfrac a{\pi(8\,\mathrm{cm})^2}=\dfrac{45^\circ}{360^\circ}\implies a=8\pi\,\mathrm{cm}^2$

So the area of the shaded region is $18\pi-8\pi=10\pi$ .

7 0

3 years ago

A bag contains 10 red stars and 7 blue stars. John randomly draws 4 stars from the bag. He does not replace the stars after each

xenn [34]

Red star- 10/17, likely

blue star- 7/17, likely

they're both likely, because the nominators are both about more than half of the denominator

3 0

3 years ago

Find the area of an obtuse-angled triangle with a base of 4 cm and a height 7 cm.

SOVA2 [1]

Answer:

14 cm²

Step-by-step explanation:

Obtuse angle: more than 90° and less than 180°

The formula for the area of an obtuse triangle is the same as that for any triangle:

area of a triangle = 1/2 x base x height

Therefore, given:

base = 4 cm
height = 7 cm

⇒ area = 1/2 x 4 x 7 = 14 cm²

5 0

3 years ago

Read 2 more answers

In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,

kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

$P(X)=^nC_x\ p^x(1-p)^{n-x}$ , here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

$P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840$

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0

4 years ago

A male African elephant weighs 6 tons. A male African lion at the local zoo weighs 1/50 of the weight of the male African elepha

Arturiano [62]

Answer:

240

Step-by-step explanation:

Take 1/50 as an decimal and multiply it by 12000 pounds (6 tons

.02*12000=240

3 0

3 years ago