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3 years ago

Write a number that is the same when rounded to the nearest hundred and ten

Mathematics

1 answer:

Sonja [21]3 years ago

3 0

A number when you round to the nearest hundred and tens is the is is the number 200

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ABCD is a rectangle. The measure of angle BCE is 4x-23 and the angle measure of angle DCE is 5+5x. Find the measure of angle BEC

Temka [501]

<h2>Explanation:</h2><h2></h2>

The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

$\angle BCE=\beta \\ \\ \angle DCE=\theta$

Every internal angle of any rectangle measures 90 degrees, so:

$\beta +\alpha=90 \\ \\ (4x-23)+(5+5x)=90 \\ \\ \\ Isolating \ x: \\ \\ (4x+5x)+(5-23)=90 \\ \\ 9x-18=90 \\ \\ 9x=108 \\ \\ x=\frac{108}{9}=12$

So:

$\beta=4x-23=4(12)-23=25^{\circ}$

So the measure of angle BEC can be found as follows:

We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So

$\angle EBC=\beta$

The sum of internal angles of any triangle add up to 180 degrees, so:

$\beta + \beta+\angle BEC=180^{\circ} \\ \\ 2\beta+\angle BEC=180^{\circ} \\ \\ \angle BEC=180^{\circ}-2\beta \\ \\ \angle BEC=180^{\circ}-2(25^{\circ}) \\ \\ \angle BEC=180^{\circ}-50^{\circ} \\ \\ \boxed{\angle BEC=130^{\circ}}}$

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4 years ago

Mr.Jones has a new car. The manufacturer says that the car should get about 28 miles per gallon in the city. About how many mile

Elza [17]

Answer:

Step-by-step explanation:

ikp me le rehat se me cave koken o budalla dreqi se sna le rehat fare jevg dreqi i shkallum i ri

8 0

3 years ago

Please help this is due in tomorrow you dont have to answer all questions

Kisachek [45]

Answer:

1 is multiplication

2 is division

3 is parentheses

4 is exponents

5 is parentheses

6 is exponents

7 is G.

8 is F.

9 is H.

10 is A.

11 is C.

12 is E.

13 is D.

14 is B.

Step-by-step explanation:

PEMDAS

parentheses

exponents

multiplication

division

addition

subtraction

do it in that order. but multiplication and division are on the same level so whichever comes firsts gets solved first and addition and subtraction are on the same level so whichever that come first gets solved first

7 0

3 years ago

A farmer planted corn in two different fields. He planted 500 seeds of regular corn in Field A and 500 seeds of experimental cor

Irina18 [472]

Answer:

A or D

Step-by-step explanation:

because I dont know what the experiment is just that it was grown differently

5 0

3 years ago

Estimate the value of 102. ÷ 4.7

Maksim231197 [3]

Answer:

21.7

Step-by-step explanation:

divide

4 0

2 years ago