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2 years ago

Mathswatch question on congruency. 25 POINTS

Mathematics

1 answer:

svetlana [45]2 years ago

3 0

Adding to the solutions and points gotten, we can further say that: Opposite angles of the parallelogram are congruent, by the theorem of Side Angle side (SAS) (i.e angle AEB = CED )

<h3>Meaning of Congruence</h3>

Congruence can be defined as a term used to depict a state of two object being equal, in harmony, and in agreement.

The congruence of a shaped is verified by some laws which they both must satisfy.

In conclusion, the triangle is congruent with the fact stated in the question and the additional fact added above.

Learn more about congruence: brainly.com/question/3168048

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Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minut

solmaris [256]

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

4 0

3 years ago

X+16=24hvvcgcfcycdfdxfxxdgfv

zaharov [31]

To do solve this you must isolate x. First subtract 16 to both sides (what you do on one side you must do to the other). Since 16 is being added to x, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

x + (16 - 16) = 24 - 16

x = 8

Check:

8 + 16 = 24

24 = 24

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

3 years ago

Read 2 more answers

Answer this fast please

Likurg_2 [28]

Answer:

negative

Step-by-step explanation:

b is a negative number because it is less than -1, so b/5 is a negative number because negative/positive = negative

6 0

3 years ago

Read 2 more answers

on a bulletin board the principal ms gomez put 115 photos of the fourth grade students in her school she put the photos in 5 equ

avanturin [10]

So 115 divided by 5 is 23, so the answer is 23.

5 0

3 years ago

In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.

Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

$\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}$

where c is the proportionality constant

$\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}$

Hence, x value is 12 when y value is 9

3 0

3 years ago