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Tcecarenko [31]
3 years ago
12

Given: segment PT || segment QS, segment PT ≅ segment QS, ∠T ≅ ∠S Prove: ΔPQT ≅ ΔQRS

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Segment PT || segment QS,                                  Given

segment PT ≅ segment QS,  

∠T ≅ ∠S

 

Angle TPQ = Angle SQR                      PR is a transversal  cutting parallel segments SQ and TP

                                                             So....it makes corresponding angles TPQ and SQR equal    

 

ΔPQT   ≅    ΔQRS                                ASA congruency

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Use the Pythagorean identity on page 10 with x = 4 and y= 3 to generate a Pythagorean triple​
Dmitry [639]

Answer:

  c.  7, 24, 25

Step-by-step explanation:

For the formulas ...

  • a=x^2-y^2
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we can use the given values of x and y to find the corresponding Pythagorean triple:

  a = 4^2 -3^2 = 16 -9 = 7

  b = 2·4·3 = 24

  c = 4^2 +3^2 = 16 +9 = 25

The generated Pythagorean triple is (7, 24, 25), matching answer C.

6 0
3 years ago
Simplify (6^5 over 7^3)^2
love history [14]

Answer:

6^10 over 7^6.

Step-by-step explanation:

(6^5 over 7^3)^2

= 6^(5*2) / 7^(3*2)

=  6^10 over 7^6.

7 0
4 years ago
James types 25 words per minute. He be spends 15 minutes type in his homework what is the domain of the situation
rewona [7]

Answer:

he types 375 words in 15 minutes.

Step-by-step explanation:

25x15=375

8 0
3 years ago
Lindsay is creating a bridge out of dried pasta and glue. In her plans, she sketches the graph to determine the lengths of the n
alexgriva [62]
From the graph shown it can be seen that the bridge is represented by a parabola with vertex of (5, 8) and roots of 1 and 9.

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y=a(x-h)^2+k

Thus, the equation of the given graph in vertex form is given by
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Also, recall that the equation of a parabola with roots, p and q, is given by
y=a(x-p)(x-q)

Thus the equation of the given graph can be given by
y=a(x-1)(x-9)

To get the value of a, we equate both equations and solve as follows:
a(x-5)^2+8=a(x-1)(x-9) \\  \\ a(x^2-10x+25)+8=a(x^2-10x+9) \\  \\ ax^2-10ax+25a+8=ax^2-10ax+9a \\  \\ 25a-9a=-8 \\  \\ 16a=-8 \\  \\ a=- \frac{8}{16} =- \frac{1}{2}

Therefore, the <span>function that Lindsay used to create her design is
f(x)=-0.5(x-5)^2+8
</span>
4 0
3 years ago
Read 2 more answers
A researcher testing the effects of two treatments for anxiety computed a 95% confidence interval for the difference between the
hram777 [196]

Answer:

False

Step-by-step explanation:

Given that a researcher testing the effects of two treatments for anxiety computed a 95% confidence interval for the difference between the mean of treatment 1 and the mean of treatment 2

Also that  confidence interval includes zero.

When confidence interval includes zero, we need not reject the null hypothesis since null hypothesis claims that difference =0

When confidence interval includes 0 it confirms that there is no difference and hence null hypothesis should be accepted.

3 0
3 years ago
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