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3 years ago

Which postulate or theorem proves that these two triangles are congruent?

Mathematics

2 answers:

Sedbober [7]3 years ago

8 0

Answer:

ASA Congrence Postulate

Step-by-step explanation:

Let us consider the Triangle FGJ and triangle GJH

1) angle GFJ =angle GHJ (given in the figure )

2) GJ=GJ (common side for both the triangles)

3)angle FGJ =angle GJH (alternate interior angles )

So, from the points (1),(2) and (3) we can say that both the triangle are congruent by ASA congruency .

Alla [95]3 years ago

4 0

AAS congruence theorem.

We know that <H is congruent to <F and <GJH is congruent to <JGF.

We also know that JG is congruent to JG, which gives us a side and two angles, so AAS would prove them congruent.

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Please help with this question

Klio2033 [76]

Answer:

cos(x=pi/4)= $\frac{17}{26}*\sqrt{2}$

Step-by-step explanation:

Remember that $sin^{2}(x) +cos^{2}(x)=1$

We need to find cos(x) from the above equation.

cos(x)= 12) / 13. This solution is positive since cos(x) in the range (2pi/3, 2pi) is positive.

Now, to obtain cos(x+pi/4) lets use the relation for cos(a+b)= cos(a)*cos(b)-sin(a)*sin(b)

where a=x, b =pi/4

Hence

cos(x+pi/4) =cos(x)*cos(pi/4) - sin(x)*sin(pi/4)

cos(x+pi/4) = $\frac{\sqrt{2}}{2} * (cos(x)+5/13)$

cos(x=pi/4)= $\frac{\sqrt{2} }{2} *(\frac{12}{13}+\frac{5}{13})=\frac{17}{26} \sqrt{2}$

7 0

3 years ago

A distribution is positively skewed if which of these statements is true about the density curve that represents it?

NemiM [27]

The right answer for the question that is being asked and shown above is that: "D. The right tail is longer than the left." Positively skewed distribution<span> is asymmetrical and points in the positive direction. So, the tail on the right is longer than that of the left.</span>

5 0

3 years ago

Read 2 more answers

Two investments totaling $21,000 produce an annual income of $870. One investment yields 4% per year, while the other yields 10%

Citrus2011 [14]

Answer:

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

Step-by-step explanation:

Let

x -----> the amount invested at 4%

(21,000 -x) ----> the amount invested at 10%

we know that