Which of the following fractions is less than 1 options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4

Mathematics

2 answers:

natima [27]2 years ago

8 0

Answer:

Step-by-step explanation:

11/4=2.75

3/4=0.75

5/4=1.25

23/4=5.75

mihalych1998 [28]2 years ago

8 0

Answer:

3/4

Step-by-step explanation:

Proper fractions are less than 1

3/4 is proper fraction.(Numerator less than denominator)

$\dfrac{5}{4}=1\dfrac{1}{4}$

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pav-90 [236]

Answer:

Step-by-step explanation:

Using the 30-60-90 triangle formula side AB would be double of side CB.

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3 years ago

In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of

ira [324]

Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)