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3 years ago

Check if the two triangles are congruent

Mathematics

1 answer:

NARA [144]3 years ago

7 0

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

The answer is yes they are congruent because if you flip the second one they are the same.

I hope this helped :)

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A cube measures 3.0 CM on each side and has a mass of 25g. What is the density?

Oxana [17]

Answer:

D ≈ 0.925926 g/cm³

Step-by-step explanation:

Density = Mass / Volume

Step 1: Define

M = 25 g

V = (3 cm)³ = 27 cm³

D = ?

Step 2: Substitute and Evaluate for Density

D = 25g / 27 cm³

D = 25/27 g/cm³

D ≈ 0.925926 g/cm³

8 0

4 years ago

The grocery store is selling bags of grapefruits for $4. Each bag contains 8 grapefruits. What is the price per grapefruit?

Liula [17]

8× = 4
×/8=4/8
× = .5

each grapefruit is .5

5 0

3 years ago

In circle F with m \angle EFG= 122m∠EFG=122 and EF=16EF=16 units, find the length of arc EG. Round to the nearest hundredth.

kow [346]

Given:

In circle F, $m\angle EFG=122^\circ,\ EF=16$ units.

To find:

The length of arc EG.

Solution:

It is given that, $m\angle EFG=122^\circ,\ EF=16$ units. It means the central angle of arc EG is 122 degrees and the radius of the circle F is 16 units.

Formula for arc length is:

$s=2\pi r\times \dfrac{\theta}{360^\circ }$

Where, r is the radius and $\theta$ is the central angle in degrees.

Putting $r=16,\ \theta=122^\circ,\ \pi=3.14$ , we get

$s=2(3.14)(16)\times \dfrac{122^\circ}{360^\circ }$

$s=100.48\times \dfrac{61}{180}$

$s=34.0515556$

$s\approx 34.05$

Therefore, the length of arc EG is 34.05 units.

6 0

3 years ago

PPPPLLLSSS HELP THIS IS WORTH SIXTY PERCENT OF MY GRADE. I DONT GET HOW SINCE IT ONLY TWO QUESTIONS BUT IT IS. PLEASE HELP

anastassius [24]

Answer:

122; 19

Step-by-step explanation:

15 ⋅ 6 - 2² ⋅ 8 + 4³ =
15 ⋅ 6 - 4 · 8 + 64 =
90 - 32 + 64 =
58 + 64 =
122

2³ + 2² ⋅ 2 + 6 - 2¹ ⋅ 2⁰ - 1 =
8 + 4 · 2 + 6 - 2 · 1 - 1 =
8 + 8 + 6 - 2 - 1 =
22 - 2 - 1 =
20 - 1 =
19

5 0

3 years ago

Imagine that there are 100 different researchers each studying the sleeping habit of a college freshman. Each researcher takes a

aalyn [17]

Answer:

Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.

Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.

And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.

In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.

Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.

5 0

3 years ago

Check if the two triangles are congruent​

Check if the two triangles are congruent