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klemol [59]
3 years ago
12

Two of the corresponding angles and the included sides of two triangles are congruent.Which statement must be true regarding the

triangles
Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0

Answer:

1. The two triangles are ASA congruent

2. The two triangles are SAS congruent

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Please help!!
erastova [34]

Answer:

  180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

  • the sum of interior angles of a triangle is 180°
  • the angles of a linear pair are supplementary (they total 180°)

__

The first of these rules answers the first two questions:

  • interior angles total 180°
  • angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

  • angles 3 and 4 total 148°

The second rule answers the next question:

  • angles 1 and 2 total 180°

As before, subtracting the value of angle 1 from both sides of the equation gives ...

  • angle 2 must be 148°

_____

<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

  X + 32° = 180°

  X +32° -32° = 180° -32° . . . . . . subtraction property of equality

  X = 148° . . . . . . . . simplify

In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.

7 0
3 years ago
Please help me with this one, I’m really stuck on it.
ANTONII [103]
I don’t know if this will help but here you go

6 0
3 years ago
Rachel recorded the number of calls she made at work during the week:
Dmitry [639]

The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.

<h3>What is the chi-squared test statistic?</h3>

Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.

The formula for the chi-squared test statistic is;

\sum \frac{(O_i-E_i)^2}{E_i } \\\\

Where,

\rm O_i is the observed value

\rm E_i is the expected value

The chi-square test statics is;

\rm( \frac{18-18}{18} )^2 +( \frac{14-18}{18} )^2 + (\frac{24-18}{18} )^2+( \frac{16-18}{18} )^2 \\\\ 0+ \frac{16}{18}+ \frac{36}{18} +\frac{4}{18}\\\\ \frac{56}{18} \\\\ 3.11

Hence, the chi-squared test statistic will be 3.11.

To learn more about the chi-squared test statistic refer;

brainly.com/question/14082240

#SPJ1

5 0
2 years ago
3x + 5y=32 2x + 3y=23 solve by elimintaion method
algol [13]

Answer:

x=19, y=-5

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(19, -5)

Equation Form:

x=19, y=-5

Hope this helps.

3 0
3 years ago
I need help solving this
Shtirlitz [24]
X+5=2x-7

x=12

y=12+5

y=17

(12, 17)
5 0
3 years ago
Read 2 more answers
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