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2 years ago

What is the missing step in this proof?

Mathematics

2 answers:

Ray Of Light [21]2 years ago

7 0

Answer:

C is the answer

Step-by-step explanation: i took the same test

Arada [10]2 years ago

3 0

1. AD/DB=CE/EB

given

2. AD/DB+1=CE/EB+1

Addition Property of Equality

3. AD+DB/DB=CE+EB/EB

using common denominators

4. AB = AD + DB

CB = CE + EB

segment addition

5. AB/DB=CB/EB

Substitution Property of Equality

6.ABC DBE

Reflexive Property of Congruence

7. ABC ~ DBE

SAS similarity criterion

8. 

Corresponding angles of similar triangles are congruent.

9. DE|| AC

If the corresponding angles formed by

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Solve the equation (2^2x)/( 2^x+5) = 1 algebraically using two different initial steps as directed below.

NikAS [45]

Answer:

x = 5

Step-by-step explanation:

Given equation as:

$\frac{2^2x}{2^{x+5}}$ = 1

now,

writing each side as power of 2

2⁰ = 1

therefore,

$\frac{2^2x}{2^{x+5}}$ = 2⁰

also, we know the property that , when the number having the same bases gets divided , the powers of the number gets subtracted

therefore,

$2^{2x-(x+5)}$ = 2⁰

now for the equality the power of 2 both sides should be equal

thus,

⇒ 2x-(x+5) = 0

⇒ 2x = x + 5

⇒ 2x - x = 5

⇒ x = 5

7 0

2 years ago

The scatterplot shows the selling prices of homes and the square feet of living space.

Oksana_A [137]

Answer:

✔ a strong positive

✔ strengthen

✔ increase

ED2021

3 0

2 years ago

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales

mihalych1998 [28]

Answer:

We conclude that the mean number of calls per salesperson per week is more than 37.

Step-by-step explanation:

We are given that the Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors.

To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls.

Let $\mu$ = true mean number of calls per salesperson per week.

SO, Null Hypothesis, $H_0$ : $\mu \leq$ 37 {means that the mean number of calls per salesperson per week is less than or equal to 37}

Alternate Hypothesis, $H_A$ : $\mu$ > 37 {means that the mean number of calls per salesperson per week is more than 37}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean number of calls made last week = 40

s = sample standard deviation = 5.6 calls

n = sample of sale representatives = 41

So, test statistics = $\frac{40-37}{\frac{5.6}{\sqrt{41} } }$ ~ $t_4_0$

= 3.43

Hence, the value of test statistics is 3.43.

Now at 0.025 significance level, the t table gives critical value of 2.021 at 40 degree of freedom for right-tailed test. Since our test statistics is more than the critical value of t as 3.43 > 2.021, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the mean number of calls per salesperson per week is more than 37.

4 0

2 years ago

11. You plan to bake "apple crisp" for a dinner party you are hosting. Your recipe serves four

Ludmilka [50]

Answer:

2.5 teaspoon.

Step-by-step explanation:

4 serve recipe need cinnamon = 1 tsp

1 serve recipe need cinnamon = 1/4 tsp

10 serve recipe need cinnamon = 1/4 * 10

= 10/4

= 2.5 tsp

7 0

2 years ago

A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120 s m 5120, start fraction, start text, m, e

klio [65]

Answer:

18432 km/h

Step-by-step explanation:

It is given that a sound wave travels through iron at a rate of 5120 m/s.

We know that

1 km = 1000 m

1 hour = 60 minutes

1 minutes = 60 second

Using these conversions we get

1 m = 0.001 km

1 hour = 3600 second

$5120\text{ m/s }=5120\times 0.001\times 3600\text{ km/h}$

$5120\text{ m/s }=18432\text{ km/h}$

Therefore, the sound wave travels through iron at a rate of 18432 km/h.

6 0

2 years ago