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fgiga [73]
3 years ago
15

This handrail is made from congruent parallelograms. In parallelogram ABCD, AB = 17.5 , DE = 18, and angle BCD is 110º. Find the

measure of angle ABC.                                    
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0
I'm a bit confused however this is what I have come up with. I did not use the values for AB or DE at all. As a warning, my geometry skills are not great as I do not remember much from 8th grade. 
If my memory serves me right, angle BCD's degree must equal's angle DAB's degree, so 110. A parallelogram's angle sums up to 360. If you add BCD and DAB's measurements, it equals 220, subtract this number from 360 and you get 140. angles ABC and ADC must also equal one another so if we divide 140 we get the individual angle degrees. If you do this you should get 70 degrees.
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lisabon 2012 [21]

Answer:

m<R = 65

Step-by-step explanation:

m<R + m<S + m<T = 180° (sum of interior angles in a triangle)

(5x - 11) + (3x - 3) + (3x + 18) = 180°

Solve for x.

5x - 11 + 3x - 3 + 3x + 18 = 180

Add like terms

11x + 4 = 180

11x = 180 - 4

11x = 176

x = 16

m<R = (5x - 11)

Plug in the value of x

m<R = 5(13) - 11

m<R = 65

6 0
3 years ago
line passes through the point (-3,-4) and its y-intercept is (o, -9). What is the equation of the line that is parallel to the f
12345 [234]

Answer:

y=-\frac{5}{3}x-2

Step-by-step explanation:

The first line has a slope of -5/3 found using the points in the slope formula.

m=\frac{y_2-y_1}{x_2-x_1} =\frac{-9--4}{0--3}=\frac{-9+4}{0+3}=\frac{-5}{3}

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form y-y_1=m(x-x_1).

y--7=-\frac{5}{3}(x-3)\\y+7 = -\frac{5}{3}(x-3)\\y=-\frac{5}{3}x + 5 -7\\y=-\frac{5}{3}x-2

7 0
3 years ago
In construction, floor space must be planned for stair cases. If the vertical distance between the first and second floors it's
Nadya [2.5K]

Answer:

665.73 cm or 6.65 m

Step-by-step explanation:

The first thing is to pass the distance in meters to centimeters, knowing that 1 meter equals 100 centimeters:

3.6m * 100cm / 1m = 360cm

Now we calculate the number of steps:

360 cm / 18 cm = 20 steps

Now each step measures 28 cm, therefore:

20 * 28 = 560 cm

To calculate the length of the ladder, we must apply Pythagoras:

c ^ 2 = a ^ 2 + b ^ 2

a = 360; b = 560

replacing:

c ^ 2 = 360 ^ 2 + 560 ^ 2

c ^ 2 = 443200

c = 665.73

665.73 cm in meters would be 6.65 meters.

6 0
3 years ago
Kareem has $20,000 in his savings account that earns 5% annually. How much interest will he earn in one year?
siniylev [52]

Answer:

1000

Step-by-step explanation:

5% of my 20000 is 1000 so 21000 total or 1000 anually

7 0
3 years ago
two buses leave towns 604 mi apart at the same time and travel toward eachother. One bus travels 9 mi/h faster than the other on
muminat

Answer:

s = 71 mph, and s+9 = f = 80 mph

Step-by-step explanation:

The distances the two busses travel add up to 604 mi.

Letting f be the faster speed and s the slower.  Then f = s + 9 (mph).

Then (s + 9)(mph)(4 hr) + (s)(mph)(4 hr) = 604 mi.  Solve this for s:

4s + 36 + 4s = 604 mi, or 8s = 568.  Finally, s = 71 mph, and s+9 = f = 80 mph.


3 0
3 years ago
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