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sergejj [24]
3 years ago
5

Given congruent triangles name the corresponding sides and corresponding angles

Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

Given \triangle ABC\cong \triangle ADC

According to the order of the vertices,

  • side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);
  • side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);
  • side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);
  • angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);
  • angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);
  • angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);
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Find the Slope:
AveGali [126]

Answer:

4) slope= 0

5) slope =  -  \frac{1}{7}

Step-by-step explanation:

\boxed{ slope = \frac{y _{2} - y_1 }{x_2 - x_1} }

4) Slope

=  \frac{10 - 10}{ - 10 - 3}

=  \frac{0}{ - 13}

= 0

The slope is zero as the line is a horizontal line (since both points have the same y-coordinate of 10).

5) Slope

=  \frac{5 - 4}{2 - 9}

=  \frac{1}{ - 7}

=  -  \frac{1}{7}

Since you have taken (x₁, y₁) to be (9, 4), the value of x₁ should be 9 instead of 2.

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2 years ago
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Tion. Then die
horrorfan [7]

Answer:

  D  Numbers that can be written as fractions

Step-by-step explanation:

A <em>rational</em> number is one that can be written as a <em>ratio</em>: a fraction with integer numerator and denominator.

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The term "decimal" as used here is sufficiently non-specific that we cannot seriously consider it to be part of a suitable answer. A terminating or repeating decimal will be a rational number. A non-terminating, non-repeating decimal will not be a rational number.

While integers and whole numbers are included in the set of rational numbers, by themselves, they do not constitute the best description of the set of rational numbers.

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3 years ago
A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the resul
scoray [572]

Answer:

The 95% confidence interval for those opposed is: (0.298, 0.334).

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:

1786 of the 2611 were in favor, so 2611 - 1786 = 825 were opposed. Then

n = 2611, \pi = \frac{825}{2611} = 0.316

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}} = 0.316 - 1.96\sqrt{\frac{0.316*0.684}{2611}} = 0.298

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.316 + 1.96\sqrt{\frac{0.316*0.684}{2611}} = 0.334

The 95% confidence interval for those opposed is: (0.298, 0.334).

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Answer:

answer is 10000

Step-by-step explanation:

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Monica is a lawyer who earns $8,322.65 every month. She spends $830.98 on rent, $210.36 on food, and $120.45 on gas every month.
Step2247 [10]
She would have $7160.86 left over in cash here's why.....
she starts off with $8,322.65 and spends $830.98 on rent $8,322.65-$830.98= $7,491.67 
then spends $210.36 on food and another $120.45 on gas 
$7,491.67-$210.36= $7,281.31 - $120.45= $7,160.86 <---- Left over $
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3 years ago
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