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3 years ago

Given: mEDF = 120°; mADB = (3x)°; mBDC = (2x)°

Mathematics

2 answers:

kenny6666 [7]3 years ago

7 0

The correct answer is:

vertical angles are congruent

Explanation:

In the proof, we are shown that ∠EDF and ∠ADC are vertical angles. This is because they are opposite each other and share only a vertex.

The vertical angle theorem tells us that vertical angles are congruent; therefore ∠EDF ≅ ∠ADC.

klio [65]3 years ago

4 0

This is the concept of geometry, we are required to find the value of x given that:
1. m<EDF=120 [Given]
m<(ADB)=3x
m<BDC=2x
2.<EDF and <ADC are vert. <s [def of vert angles]
3.<EDF=<ADC [vertical angles are equal]
The reason number 3 is, vertical angles are equal

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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,206 was collected on the sale of 1,322 ticket

vaieri [72.5K]

There were 471 adult and 851 student tickets sold

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3 years ago

Suponhamos que temos x casos confirmados de coronavírus e y casos suspeitos. A - Se triplicar os casos confirmados e cair a meta

aleksandr82 [10.1K]

Answer:

[3x + (y/2)]

Step-by-step explanation:

English Translation

Suppose we have x confirmed cases of coronavirus and y suspected cases. A - If the confirmed cases triple and half of the suspects fall, we will have the following expression to represent the total number of cases:

Solution

Number of confirmed cases = x

Number of suspected cases = y

Number of confirmed cases triples and becomes 3x

Half of the suspected cases fall and becomes (y/2)

Total number of cases then becomes

[3x + (y/2)]

In Portugese/Em português

Número de casos confirmados = x

Número de casos suspeitos = y

O número de casos confirmados triplica e se torna 3x

Metade dos casos suspeitos cai e se torna (y / 2)

O número total de casos passa a ser

[3x + (y / 2)]

Hope this Helps!!!

Espero que isto ajude!!!

8 0

3 years ago

A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weig

jenyasd209 [6]

Answer:

$z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625$

The p value for this case would be given by:

$p_v =P(z$

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

Step-by-step explanation:

Information provided

$\bar X=19.87$ represent the sample mean

$\sigma=0.4$ represent the population deviation

$n=25$ sample size

$\mu_o =68$ represent the value that we want to test

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:

Null hypothesis: $\mu \geq 20$

Alternative hypothesis: $\mu < 20$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625$

The p value for this case would be given by:

$p_v =P(z$

7 0

3 years ago

Help ASAP ! Taking A Test Right Now

Tems11 [23]

Answer:

There is a group anxiously waiting to start their triathlon. They are in the sand getting ready for the first leg of the race…the swim! They have roped off a rectangle of the beach that is 200 yards long and 10 yards wide. The athletes are packed in trying fighting for the front. If we assume that 10 athletes can occupy 25 square feet, how many triathletes are?

10 yds x 200 yds = 2000 sq yds.

2000 x 9 = 18000 sq ft

18000/25 = 720 sections that are 25 sq ft

720 sections x 10 people/section = 7200 triathletes

Step-by-step explanation:

5 0

3 years ago

60 POINTS AND BRAINLIEST!!!!!

ser-zykov [4K]

SOLUTION:

3y - 24 = 237

3y = 237 + 24

3y = 261

y = 261 / 3

y = 87

Hope this helps! :)
Have a lovely day! <3

5 0

3 years ago