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Rina8888 [55]
3 years ago
11

If any two sides and an angle are congruent in two triangles then they must be congruent ?

Mathematics
1 answer:
almond37 [142]3 years ago
8 0

Answer:

yes....it's <em>SAS</em>

<em>it </em><em>means</em><em> </em><em>side</em><em> </em><em>angle</em><em> </em><em>side</em><em>.</em><em>.</em><em>.</em><em>.</em>

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What is the perimeter of a triangle with sides<br> 14 inches, 8 inches, and 16 inches in length?
slamgirl [31]

Answer:

38 inches

Step-by-step explanation:

just add them all together.

4 0
3 years ago
I need help with Geometry
ehidna [41]

Answer:

We conclude that segment QR is the shortest.

Hence, option B is true.

Step-by-step explanation:

First, we need to determine the missing angle m∠R

Given the triangle Δ∠PQR

m∠P = 48°

m∠Q = 83°

m∠R = ?

We know the sum of angles of a triangle is 180°.

m∠P+m∠Q+m∠R = 180°

48°+83°+m∠R=180°

m∠R = 180° - 48° - 83°

m∠R = 49°

Thus, the value of m∠R = 49°

We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Here,

m∠P = 48° is the shortest angle.

As the side QR segment is opposite the smallest angle i.e. m∠P = 48°

Therefore, we conclude that segment QR is the shortest.

Hence, option B is true.

5 0
3 years ago
Suppose y varies directly as x², and y = 160 when x = 4. Find y when x = 6.
labwork [276]

<u>Finding the constant of proportionality</u> :

  • y = kx²
  • 160 = k(4)²
  • k = 10

<u>Finding y when x = 6</u> :

  • y = 10(6)²
  • y = 10(36)
  • y = 360

The value of y is <u>360</u> when x = 6.

7 0
2 years ago
If you assume the samples are representative how many whole wheat bagels might you infer are sold at each store
Alexxandr [17]

Maurine owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to see how many whole wheat bagels are sold at each store each day. Shop A has total of 50 bagels in sample and 10 are whole wheat bagels. Store B has a total of 100 bagels in sample and 23 are whole wheat bagels. Shop C has 25 total bagels in sample and 7 are whole wheat bagels.

We find fraction of whole wheat bagels to the sample for each shop using given information

Shop A = \frac{10}{50}  = 0.20

Shop B = \frac{23}{100}  = 0.23

Shop C = \frac{7}{25}  = 0.28

The number of whole wheat bagels for each shop that sells 500 bagels per day

Shop A = 0.20 * 500= 100

Shop B = 0.23 * 500= 115

Shop C = 0.28 * 500= 140

3 0
3 years ago
Read 2 more answers
In a survey of 1000 large corporations, 260 said that, given a choice between a job candidate who smokes and an equally qualifie
Usimov [2.4K]

Answer:

The 95% confidence interval for the proportion of corporations preferring a nonsmoking candidate is (0.2328, 0.2872)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1000, p = \frac{260}{1000} = 0.26

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.26 - 1.96\sqrt{\frac{0.26*0.74}{1000}} = 0.2328

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.26 + 1.96\sqrt{\frac{0.26*0.74}{1000}} = 0.2872

The 95% confidence interval for the proportion of corporations preferring a nonsmoking candidate is (0.2328, 0.2872)

4 0
3 years ago
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