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3 years ago

GEOMETRY PLEASE HELP

Mathematics

1 answer:

marysya [2.9K]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

(5)

Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and

∠ABC + ∠CBD = ∠ABD, that is

2x + 3x - 10 = 90, simplifying

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20, thus

∠ABC = 2x = 2 × 20 = 40°

∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°

(6)

4x - 18 = 3x + 7 ( vertical angles are congruent )

Subtract 3x from both sides

x - 18 = 7 ( add 18 to both sides )

x = 25

7y = 5y + 28 ( vertical angles are congruent )

Subtract 5y from both sides

2y = 28 ( divide both sides by 2 )

y = 14

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The circumference of a circle is 25.12 yards. What is the radius of the circle?

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The circumference is pi times diameter, so put 25.12 over pi to get the diameter. That would be 8. Then divide by 2 to get the radius. That would be 4

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How many towers can be built using 257 blocks

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Explanation:

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2 years ago

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br

Marianna [84]

Answer:

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

The manager of Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

Step:-1

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

sample proportion

$p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52$

Step:-2

Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

Alternative Hypothesis:H₁:μ > 0.64

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }$

Z = -2.5

Level of significance = 0.05

Z₀.₀₅ = 2.326

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

Final answer:-

The null hypothesis is rejected at a 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

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3 years ago

Fourteen decreased by a number

Galina-37 [17]

Answer:

14 - n

Step-by-step explanation:

Let the number be n.

14 - n

6 0

3 years ago

Read 2 more answers

A-One Talent Agency has 108 clients. 42 of the clients play piano and 51 of the clients play guitar.

Butoxors [25]

Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.

Using a Venn diagram analogy :

Total number of client, U = 108
Piano, P = 42
Guitar, G = 51
Piano and Guitar, (PnG) = 13
None =?

From the information given :

P only = 42 - 13 = 29
G only = 51 - 13 = 38

The total number of clients can be related thus :

Total = P only + G only + PnG + None

108 = 29 + 38 + 13 + None

108 = 80 + None

None = 108 - 80

None = 28

Therefore, the number of clients who do not play any of the instruments is 28

Learn more :brainly.com/question/12570490

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2 years ago