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3 years ago

What theorem can be used to prove the triangles are congruent

Mathematics

1 answer:

natta225 [31]3 years ago

7 0

Answer:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

Step-by-step explanation:

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Convert: 4 quarts (dry) to liters.<br> a. 0.4406<br> b. 4.406<br> c. 44.06<br> d. 440.6

kipiarov [429]

1 dry quart=1.10

1.10 x 4= 4.4

Final answer: B.

4 0

2 years ago

Minnesota Public Radio wants to duplicate a survey conducted in 2016 that found that 65% of adults living in Minnesota felt that

vesna_86 [32]

Answer:

The number of people needed is $n =684$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.65$

The margin of error is $E = 0.03$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1-p)$

=> $n =[ \frac{1.645 }{0.03} ]^2 * 0.65(1-0.65)$

=> $n =684$

6 0

3 years ago

Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake

GREYUIT [131]

Answer:

7:15 A.M.
1 hour and 45 min = 105 min
3 hour 45 min= 225 min
1 hour and 15 min = 105 min
105(2)+ 225= 435 min= 7 hours and 25 min.
Add that to the original total you get 14:40 P.M

7 0

3 years ago

a beverage is made by mixing 3 parts of water with 5 parts of fruit juice how many parts of water are mixed with 1 part on fruit

Fittoniya [83]

Answer:

$\frac{3}{5}=0.6$

Step-by-step explanation:

Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:

$\frac{water}{fruit}=\frac{3}{5}=\frac{x}{1}$

cross multiply: 5x = 3

divide: 5x/5 = 3/5 or x = 3/5

3/5 = 0.6 parts water

7 0

3 years ago

Read 2 more answers

In a certain sequence of numbers, each term after the first is found by doubling and then adding $3$ to the previous term. If th

eimsori [14]

Given $a_7=125$ you can find a_6:

$a_6= \frac{125-3}{2} =61$
$a_5= \frac{61-3}{2} =29 \\ a_4= \frac{29-3}{2}=13 \\ a_3= \frac{13-3}{2} =5 \\ a_2= \frac{5-3}{2} =1 \\ a_1= \frac{1-3}{2}=-1$
Answer: -1

6 0

3 years ago