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3 years ago

Prove the triangles are congruent

Mathematics

1 answer:

frozen [14]3 years ago

4 0

Answer:

1: two sides and angle of one triangle are congruent.

Step-by-step explanation:

The triangles are congruent because two sides and the generated angle of a triangle correspond to their respective sections. If two angles and the side used in one triangle are identical.

Hope this helps

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State whether the following is reasonable or not. Explain your answer. Josefina gave away 130% of her stamp collection.

Nastasia [14]

Answer:

The statement is not reasonable.

Step-by-step explanation:

Josefina gave away 130% of her stamp collection.

We cannot give more than what we have.

lets understand it mathematically.

suppose i have x stamp.

according to question, i have to give 130% of my stamp collection

130% of x = 130/100 x = 1.3x

so, i have to given 1.3x stamp while i do have only x stamp which does not make any sense.

maximum i can give is x stamp.

x stamp in percentage of my total stamp collection which is also x will be

= x/x*100 = 100%

Thus, maximum one can give is 100% of what he has.

Thus, we can say that Josefina gave away 130% of her stamp collection is not reasonable.

4 0

3 years ago

HELP PLEASE ILL GIVE BRAINLIST 8th grade ALGEBRA I INSERTED A PHOTO

Alex73 [517]

Answer:

Step-by-step explanation:

Solve it yourself, or ask your mom. They might help. So yeah um bye

6 0

1 year ago

What is the distance between the points (4, 6) and (5, 3)? Write the answer in simplest radical form.

frez [133]

Answer:

$\sqrt{10} \: \: units$

Step-by-step explanation:

$\sqrt{(6 - 3)^{2 } + (4 - 5)^{2} }$

$\sqrt{9 + 1}$

$\sqrt{10}$

= 3.16 units

7 0

2 years ago

Earl invested 6,000 in a money market account that pays 5% interest quarterly. How much money will he have in his account after

Sedbober [7]

Answer:

The amount becomes $6964.53 after 3 years .

Step-by-step explanation:

Formula

$Amount = P (1+\frac{r}{4})^{4t}$

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .

As given

Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .

P = $6000

5% is written in the decimal form.

$= \frac{5}{100}$

= 0.05

r = 0.05

t = 3 years

Putting all the values in the formula

$Amount = 6000(1+\frac{0.05}{4})^{4\times 3}$

$Amount = 6000(1+0.0125)^{12}$

$Amount = 6000\times 1.16075452$

$Amount =\$ 6964.53\ (Approx)$

Therefore the amount becomes $6964.53 after 3 years .

3 0

2 years ago

Julie has 5 cherry lollipops,1 lime lollipops, and 2 grape lollipops in a bag. She is going to select one lollipop, replace the

Georgia [21]

Answer: $\dfrac{15}{32}$

Step-by-step explanation:

Given : The number of cherry lollipop = 5

The total number of lollipop = 8

the number of lollipops other than grape =6

The probability of selecting a cherry lollipop is given by :_

$\text{P(Cherry)}=\dfrac{5}{8}$

The probability of selecting a lollipop other than grape is given by :_

$\text{P(Other than grape)}=\dfrac{6}{8}$

Since, there is replacement , then the events are independent of each other.

Now, the probability that Julie will select a cherry lollipop and then a lollipop other than grape is given by :-

$\text{P(Cherry and other than grape)}=\dfrac{5}{8}\times\dfrac{6}{8}=\dfrac{15}{32}$

Hence, the required probability = $\dfrac{15}{32}$

3 0

3 years ago