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Ludmilka [50]
3 years ago
6

The measure of an angle is 8 degrees less than three times te measure another angle. If the two angles are supplementary, what i

s the measure of the larger angle?
Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0
Let's solve this problem step-by-step.

First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:

Equation No. 1 -
x + y = 180°

After reading the problem, we can convert it into an equation as displayed as the following:

Equation No. 2 -
3x - 8 + x = 180°

Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:

Equation No. 1 -
x + y = 180°
y = 180 - x

Then, let's make (x) the subject in the second equation & solve as displayed below:

Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°

After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:

y = 180 - x
y = 180 - ( 47 )
y = 133°

We are now able to establish that the value of the two angles are as follows:

x = 47°
y = 133°

In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.

133 is greater than 47 as displayed below:

133 > 47

Therefore, the measure of the larger angle is 133°.
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Answer: 29.2cm

Step-by-step explanation: perimeter of parallelogram; 2(a + b) where a = base, b = altitude

a = 8cm

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Perimeter = 2(8 + 6.6) = 2(14.6)

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2 years ago
Help this question is due in like 15 minutes :p
fomenos

Answer:

A= 150°

B=30°

C=150°

Step-by-step explanation:

Since a line is 180°, you can write an equation for C. C+30°=180° , from here use algebra to find C. The value of C will be 150°. When the value of C is 150° , since they're supplementary angles, the value of A will also be 150°.

Important thing to note:

The value of all these angles combined together is 360°.

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ser-zykov [4K]

Answer:a and point b

i hope i helped u

Step-by-step explanation:

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3 years ago
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Marina86 [1]

bearing in mind that the an hour has 15 + 15 + 15 + 15 = 60 minutes, so 15 minutes in 1/4 of an hour, thus 45 minutes is 3/4 of an hour.

now, from 11PM, if we add the 5 hours first, we'll be at 4AM, pass midnight of course.

now let's add the minutes, 32 and then 45, that gives us 77 minutes.

so the time will be 4AM plus 77 minutes, since 60 minutes is 1 hr, so 4AM plus 1 hr and 17 minutes, that'd be 5:17AM.

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Math.<br> How do I get 37/7 for this problem?
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Try:

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