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spin [16.1K]
3 years ago
9

In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.

Mathematics
1 answer:
Arturiano [62]3 years ago
4 0

Answer:

A. \triangleDEF where \angle D = 75^{\circ} and \angle E = 20^{\circ}.

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If \triangleABC and \triangleDEF, then \angle A \equiv \angle D and \angle B \equiv \angle E. Hence, \angle D = 75^{\circ} and \angle E = 20^{\circ}.

In a nutshell, correct answer is A.

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4x^2+3x-10=0\\
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x=\dfrac{5}{4} \vee x=-2

8 0
4 years ago
Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in
Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

0.045+0.32+0.4\\\\=0.765\ meters.

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0
4 years ago
If the coefficient of determination is 0.394, what percentage of the data about the regression line is unexplained
olga nikolaevna [1]

Answer:

The percentage [regression line is unexplained]  = 60.6%

Step-by-step explanation:

Given:

Coefficient of determination = 0.394

Find:

The percentage [regression line is unexplained]

Computation:

Coefficient of determination = 0.394

Coefficient of determination = 39.4%

The percentage [regression line is unexplained]  = 100% - Coefficient of determination

The percentage [regression line is unexplained]  = 100% - 39.4%

The percentage [regression line is unexplained]  = 60.6%

8 0
3 years ago
If ΔABC and ΔXYZ are similar, which must be true? A) BC YZ = AC YX B) BC YZ = BA XZ C) AC XZ = BC YZ D) AC XZ = BA XZ
Anarel [89]

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

ΔABC ~ ΔXYZ.

i.e. ΔABC and ΔXYZ are similar triangle.

then, their ratio of corresponding sides must be equal.

So, there is three possibilities:

\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}

Hence, Option 'C' is correct.

7 0
4 years ago
Read 2 more answers
How do you Estimate the Product of Decimals and Whole
PtichkaEL [24]

Answer:

1) 8.5

2) 60

3) 69.3

4) 6.8

5) 3.6

6) 10.5

Step-by-step explanation:

Take out the decimal of the estimated factors and multiply. Count how far to left the decimal is in the factors. In the product, put the decimal as many to the left as it was in the factors. (ex. 6.93 x 42, 6.93 rounds to 6.9, 42 rounds to 40, 69 x 40 = 2,760, move the decimal over one for correct place value,            6.9 x 40 = 276.0 <em>or </em>276)

8 0
3 years ago
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