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S_A_V [24]
3 years ago
14

Need help on both of these for geometry

Mathematics
1 answer:
artcher [175]3 years ago
4 0

Answer:

Step-by-step explanation:

have the triangles written in the same order to se the corresponding angles

C      A .   T

⇵ .  ⇵ .   ⇵

D      O .   G

∠D ≅∠C

∠O ≅∠A

GD ≅TC

10.

you have an isosceles triangle with vertex angle 48 so the base angle is

(180-48)/2 = 66

32+ x = 66 because is an exterior angle

x= 66-32 = 34

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A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen f
Georgia [21]

Answer:

Option B.

Step-by-step explanation:

There are 13 cards of club and 13 cards of spade in a standard deck of playing cards.

Total cards in a deck of playing cards = 52

The probability of choosing first card is club P₁ = \frac{13}{52}

The probability of choosing second card is spade = P₂ = \frac{13}{51}

Probability = P₁ × P₂

=\frac{13}{52}\times\frac{13}{51}

=\frac{169}{2652}

=\frac{13}{204}

The probability of choosing one club and one spade is \frac{13}{204}.

4 0
3 years ago
What is the area of rectangle ABCD in square units
DedPeter [7]

Answer:

I don't see a picture of the rectangle but all you would have to do s multiply the width of the rectangle by its height.

6 0
3 years ago
Read 2 more answers
A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. Teh mean is 73, wit
zavuch27 [327]

Answer:

The bottom for an A is 75. Round to the nearest whole number as needed.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=73,\sigma=7)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

P(X>a)=0.055 or P(X

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition P(X, the best way to solve this problem is using the z score with the following formula:

z=\frac{x-\mu}{\sigma}

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

P(X

So then based on the equalities we have this:

\frac{a-73}{7}=1.598

And if we solve for a we got:

a=(7*1.598) +73=84.186

So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A

8 0
3 years ago
What is the Triangle Congruence Theorem and is it congruent?
faust18 [17]

Answer:

Two triangles are congruent if their corresponding sides are equal in length and their corresponding interior angles are equal in measure. We use the symbol ≅ to show congruence. Corresponding sides and angles mean that the side on one triangle and the side on the other triangle, in the same position, match.Step-by-step explanation:

5 0
3 years ago
I WILL GIVE BRAINLIEST!!
Stels [109]
Hi there!

The answer is A. The constant 900 represents the amount Kayla's bakery earns in a particular month when there are no online orders. 

Since 900 is part of the cost that is added to the amount of money Kayla makes per online order (x), it must represent the amount Kayla's bakery makes without online orders. 

Hope this helps!
5 0
3 years ago
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