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2 years ago

Side and angle properties of a parallelogram (level 2). NO LINKS!!!

Mathematics

2 answers:

gogolik [260]2 years ago

8 0

Answer:

Hello,

If we look at the solution we can calculate this very easily

A is 40

B is 121

C=y

D=x

THe answer

x=46

y=13

z= 116

Step-by-step explanation:

mylen [45]2 years ago

7 0

9514 1404 393

Answer:

x = 59°
y = 40°
z = 81°

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

z° +40° = 121°

z° = 81°

Adjacent angles of a parallelogram are supplementary, so ...

∠CDA +∠BAD = 180°

x° + 121° = 180°

x° = 180° -121°

x° = 59°

Alternate interior angles are congruent, so ...

y° = 40°

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Consider the triangle. Which shows the order of the angles from smallest to largest? angle A, angle B, angle C angle B, angle A,

Katyanochek1 [597]

Answer:

angle B, angle A, angle C

Step-by-step explanation:

The shortest side length will be opposite the smallest angle, and the longest side length will be opposite the largest angle.

When the triangle is drawn and labeled, we see that AB is opposite angle C; BC is opposite angle A; and CA is opposite angle B.

Since the smallest side is AC, this means the smallest angle is angle B.

Since the middle length side is BC, the middle sized angle is A.

Since the longest side is AB, the largest angle is C.

This means the order from smallest to largest is B, A, C.

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2 years ago

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Solving for x<br><br> r + 11 + 8r = 29

NikAS [45]

Answer:

r=2

Step-by-step explanation:

r + 11 + 8r = 29

add the like terms

r+8r+11=29

9r+11=29

then subtract 11 on both sides to eltimate 11

9r=18

lastly divide 9 on both sides

r=2

7 0

2 years ago

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A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 623 babies bo

Margaret [11]

Answer:

The estimation for the number of newborns who weighed between 1724 grams and 5172 grams is 595.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 3448, \sigma = 862$

Proportion of newborns who weighed between 1724 grams and 5172 grams.

This is the pvalue of Z when X = 5172 subtracted by the pvalue of Z when X = 1724. So

X = 5172

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{5172 - 3448}{862}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 1724

$Z = \frac{X - \mu}{s}$

$Z = \frac{1724 - 3448}{862}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

Estimate the number of newborns who weighed between 1724 grams and 5172 grams.

0.9544 out of 623 babies. SO

0.9544*623 = 595

The estimation for the number of newborns who weighed between 1724 grams and 5172 grams is 595.

5 0

2 years ago

4 [ (16 ÷2) - 1 ]<br><br> help me please?

8_murik_8 [283]

16 / 2 = 8
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Hope this helps :)

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2 years ago

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Select the graph and the description of the end behavior of f(x) = x3 + 2.

Dmitry [639]

F(x)=x^3+2
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the ends go in opsoite directions
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and for even ones, it goes both up

for negative, odd ones go from top left to bottom right
for even, both go down

we gots
f(x)=1x^3+2
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as x approaches negative inifnity, y approaches negaitve infinity
as x approaches infinity, y approaches infinity

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2 years ago

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