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Rom4ik [11]
3 years ago
6

Help me fast ..................​

Mathematics
1 answer:
Kisachek [45]3 years ago
7 0

If two angles and included side of one triangle are equal to two angles and the included side of the other triangle , then the two triangles are congruent (ASA rule).

in figure

  • consider triangle ABD and ACD
  • Angle BAD = angle CAD
  • AB = AC
  • Angle B = angle C
  • triangle ABD congruent to Triangle ACD ( by ASA rule)
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What is the distance between P(-3,-25) and Q(50,-2)
Karolina [17]
Dist =   (x2-x1)^{2} +  (y2-y1)^{2}

above  is the distance formula, plugging your numbers from P(x1,y1) and Q(x2,y2).

Dist =  \sqrt{(50-(-3))^{2}  + (-2-(-25))^{2} }
or\sqrt{ 53^{2} + 23 ^{2} }


4 0
3 years ago
1 tablet 1x per day 45 days 10 tablets per bottle
Lana71 [14]
You would go through 4.5 bottles
7 0
3 years ago
Let mu denote the true average number of minutes of a television commercial. Suppose the hypothesis H0: mu = 2.1 versus Ha: mu &
natka813 [3]

Answer:

A. T > 2.539

Step-by-step explanation:

We have a hypothesis test of the mean, with unknown population standard deviation.

The hypothesis are:

H_0: \mu = 2.1 \\\\H_a: \mu > 2.1

From the hypothesis we can see that the test is right-tailed, so the critical value of t should be a positive value.

The degrees of freedom can be calculated as:

df=n-1=20-1=19

The significance level is 0.01, so the critical value tc should be the one that satisfies:

P(t>t_c)=0.01

Looking up in a t-table, for 19 degrees of freedom, this critical value is tc=2.539.

7 0
3 years ago
A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta
Archy [21]

Answer:

\dfrac{11}{30}

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{3}{5}=0.6.

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is \dfrac{3}{10}=0.3.

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{1}{5}=0.2.

The probability to choose each urn is the same and is equal to \frac{1}{3}.

Thus, the probability that the marble is red is

\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.

4 0
3 years ago
Martha constructs the table below to show the relationship between her cell phone's age and the amount of time it takes to charg
Alexeev081 [22]

Answer:

D

Step-by-step explanation:

To find the rate of increase all you have to do is take one of the data sets to see that every two months its charge time increases by 15 minutes or 7.5 minutes every month.

4 0
3 years ago
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