4 years ago

PLZ HELP

Mathematics

1 answer:

Igoryamba4 years ago

3 0

The answer is

D. 8:00 p.m

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Two numbers are in the ratio 7:5 and their difference is 22.Find the numbers

omeli [17]

Answer:

Let x and y be the two numbers. Then

yx=57 and x−y=20

Cross multiplying the proportion

5x=7y or y=75x

So, x−y=20

x−75x=20⇒77x−5x=72x=20

⇒x=2140=70

y=75x=75×70=50

So smaller number is 50.

Check :yx=5070=57 and 70−50=20

4 0

3 years ago

The vertex angle of an isosceles triangle measures 64 degrees. What is the measure of its base angles?

Dvinal [7]

So hmmm check the picture below

in an isosceles triangle, two sides are equal, and thus the angles those twin legs make, are also twin angles

let's say the angle made is "a", so all internal angles will be 64 + a + a = 180
or 64 + 2a = 180

thus 2a = 180 - 64 => 2a = 116, thus a = 116/2