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3 years ago

Which descriptions can describe more than one triangle? Select two options.

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

7 0

Answer:

Angle measurements of 35, 35, and 110°

Angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

took a test got the answer correct

adelina 88 [10]3 years ago

4 0

Answer:

angle measurements of 35, 35, and 110°

angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

we know that

The length sides of a triangle must satisfy the Triangle Inequality Theorem and the sum of their interior angles must be equal to 180 degrees

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means, I can have more than one triangle with the same internal angles

Verify each description

case 1) side lengths of 6 ft, 8 ft, and 10 ft

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is true

2) 6+10 > 8 ---> is true

3) 8+10 > 6 ---> is true

therefore

The description describe only one triangle

case 2) angle measurements of 35, 35, and 110°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 3) angle measurements of 30°, 40, and 50°

The sum of the interior angles is not 180 degrees

therefore

The description is not a triangle

case 4) angle measurements of 40°, 60°, and 80°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 5) side lengths of 4 cm, 6 cm, and 9 cm

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 4+6 > 9 ---> is true

2) 4+9 > 6 ---> is true

3) 6+9 > 4 ---> is true

therefore

The description describe only one triangle

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jekas [21]

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0.821*8.4 ≤-6.7+p ⇒

6.8964≤-6.7+p ⇒

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13.5964 ≤ p

This is option C.

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katovenus [111]

Answer:

$z=\frac{0.121-0.0892}{\sqrt{0.101(1-0.101)(\frac{1}{373}+\frac{1}{639})}}=1.620$

$p_v =2*P(Z>1.620)=0.105$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the two proportions are not statistically different at 5% of significance