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Ipatiy [6.2K]
3 years ago
6

Find the m∠CDE, if m∠BAC = 50° and ∠BCA is a right angle. 40° 50° 90° 180°

Mathematics
2 answers:
serious [3.7K]3 years ago
6 0
< BAC = 50
< BCA = 90

interior angles of a triangle add up to 180

so < ABC = 180 - (90 + 50) = 180 - 140 = 40

and < ABC = < CDE.......so < CDE = 40 <===

atroni [7]3 years ago
6 0
The answer would be  because if angle BAC= 50 degrees then angle DCE= 50 degrees. These triangles are the same. Each triangle has to equal 180 degrees. We know that this is a 90 degree triangle.
50, 90 is what we have so far and we need angle CDE. 50+90= 140
140+what=180
140+40=180 so the answer is 
Angle CDE=40 degrees
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<u>Answer-</u>

Set of constraints to model the problem are,

12x+9y\geq 510

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<u>Solution-</u>

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<em>y = the number of dogs walked by Fabio.</em>

1.

As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

\text{Earnings of Gwen} = 12x

\text{Earnings of Fabio} = 9y

\text{Total earning} = 12x+9y

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.

The equation for this is,

12x+9y\geq 510

2.

The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means

y must be less than or equal to 2x.

The equation for this is,

y \leq 2x

3.

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

The equation for this is,

y \geq 25



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3 years ago
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ryan rides his bicycle 5 miles in 3/4 hour. how many miles can he ride at the same rate in 1 hour? (in fractions)​
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Answer:

20/3

Step-by-step explanation:

If Ryan rides his bike 5 miles in 3/4 of an hour, then he rides 5/3 miles in 1/4 of a hour (divide both by 3). To get to a full hour from 1/4, you need to multiply it by 4. You must do the same for 5/3. 5/3*4 is equal to 20/3.

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Step-by-step explanation:

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3 years ago
Rhombus ADEF is inscribed in △ABC such that the vertices D, E, and F lie on the sides AB , BC , and AC respectively. Find the si
Oksanka [162]
<h3>Answer:</h3>

3 11/15 cm

<h3>Step-by-step explanation:</h3>

AE is the angle bisector of ∠A, so divides the sides of the triangle into a proportion:

... BE:CE = BA:CA = 7:8

Then ...

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... DE = 7/15 × 8 cm = (56/15) cm

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