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3 years ago

Select all statements that are true about the triangles.

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

Answer:

Step-by-step explanation:

When we write that 2 triangles are congruent we have to write the letters in order of their corresponding sides so ΔABC has the sides in order

AB, then BC, and then CA

the corresponding sides of the other triangle are

DC, then CB, then BD so the other triangle should be Δ DCB

because (AB≅DC, BC≅CB, CA≅BD)

In this case we eliminate the A,B,C answers.

D is also not correct because we do not know if <ABC is congruent with <DCB

E is correct because we are given the sides AB≅DC, and CA≅BD and we know that BC≅CB because of the reflexive property (a line segment is congruent with itself).

We have 3 ≅sides so we can use the Side-Side-Side Congruence Theorem

F is not correct because we have enough information.

morpeh [17]3 years ago

3 0

Answer:

D and E

Step-by-step explanation:

D) Δ ABC , ΔDCB

AB = DC

BC = CB

AC = DB

Side Side Side congruent.

E)Δ ABC , ΔDCB

AB = DC

∠D = ∠A

AC = DB

Side Angle Side congruent.

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In parallelogram DEFG if FH=16 find FD.

Kruka [31]

Answer:

Step-by-step explanation:

16x2

6 0

3 years ago

An object’s weight on Earth varies directly to its weight on the Moon. If a man weighs 180 kg on Earth, then he will weigh 30 kg

lutik1710 [3]

Answer:

The gravity of the Moon is about one sixth that of the Earth. For example, an astronaut weighing 180 pounds on the Earth would weigh about 30 pounds on the Moon.

7 0

3 years ago

Either use technology to find the P-value or use

Akimi4 [234]

Answer:

The first step is calculate the degrees of freedom, on this case:

$df=n-1=21-1=20$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(20)}$

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation

$\bar X$ represent the mean

$s$ represent the sample standard deviation

$n=21$ sample size

$\mu_o =140$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t=-0.024 would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:

Null hypothesis: $\mu \geq 140$

Alternative hypothesis: $\mu < 140$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

The statistic is given by: $t = -0.024$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=21-1=20$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(20)}$

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected $\alpah=0.01,0.05,0.1$

7 0

3 years ago

The attendance at a family reunion was 160 people. This was 125% of last year's attendance. How many people attended the reunion

Alex787 [66]

If you would like to know how many people attended the reunion last year, you can calculate this using the following steps:

125% of last year's attendance is 160 people
125% of x is 160
125% * x = 160
125/100 * x = 160 /*100/125
x = 160 * 100 / 125
x = 128 people (last year)

Result: 128 people attended the reunion last year.

4 0

3 years ago

Which table contains ordered pairs that lie in the graph of a line but not in the graph of a linear function?

Marizza181 [45]

Answer:

Step-by-step explanation:

Again, in this case, you are looking for the undefine rate of change [slope], meaning that there are repetitive x-coordinates. With that being said, you have your answer.

I am joyous to assist you anytime.

3 0

3 years ago