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2 years ago

Determine if the two triangles are congruent. If they are, state how you know.

Mathematics

1 answer:

Genrish500 [490]2 years ago

5 0

Answer:

they are not congruent

Step-by-step explanation:

the markings and angle don't match up to the same sides. the answer is most likely f, not enough information.

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How can you tell if a situation is linear from a table?

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Answer:

Step-by-step explanation:

If each successive y value is the same distance above the previous y value, the situation is linear.

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3 years ago

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Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$

b) since right triangle is mentioned in the question. We can use:

$\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}$

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

length of the adjacent side = 1
length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

$(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2$

$(52)^2=(1)^2+(\text{opp})^2$

$\text{opp}=\sqrt{(52)^2-1}$

$\text{opp}=\sqrt{2703}$

length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

$\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}$

$\sin{\theta} = \dfrac{\sqrt{2703}}{52}}$

and since $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

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Help me I need to pass so I can go on to the next thing plz someone help me. Will give brainliest!!

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I think its 7 or 10 Dont remember that question

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The ratio of red poms to yellow poms on a float is 5 to 7. if there are 392 yellow poms on the float, how many red poms are ther

Marysya12 [62]

Ratio is written in x:y. therefore for this case, red:yellow
5 : 7

since the question states that there are 392 yellow poms, the 7 units represents 392 yellow poms. now you have to gind what is one unit and then multiply by 5 to find the number of red poms.

392 represents 7 units
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