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3 years ago

One angle of a right triangle measures 80 degrees what is the measure of the other acute angle

Mathematics

2 answers:

solong [7]3 years ago

7 0

Answer : The measure of the other acute angle is, $10^o$

Step-by-step explanation :

Right angle triangle : It is a type of triangle in which the one angle is $90^o$ .

As we know that the sum of interior angles of a triangle is equal to $180^o$ .

$\angle A+\angle B+\angle C=180^o$

Given:

$\angle A=80^o$

$\angle B=90^o$

Now put all the given value of angle in the above expression, we get:

$\angle A+\angle B+\angle C=180^o$

$80^o+90^o+\angle C=180^o$

$\angle C+170^o=180^o$

$\angle C=180^o-170^o$

$\angle C=10^o$

Thus, the measure of the other acute angle is, $10^o$

puteri [66]3 years ago

6 0

$90 + 80 + x = 180$
$x = 10$

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Anuta_ua [19.1K]

first you would put the expression in a fraction for

180/460

you already know that the both numbers are divisible by 2

so the answer would be 90/230 but we are still no done because these values are divisible by three

the rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine

THE ANSWER IS:::::::: 90/230

5 0

3 years ago

In equilateral ΔABC, AD, BE, and CF are medians. If FO = 4, then AE = A) 4 B) 4 3 C) 8 D) 12

vampirchik [111]

Firstly, we need to draw triangle

we know that

O is a centroid

and centroid divides median into 2:1

so,

$\frac{CO}{FO} =\frac{2}{1}$

we have FO=4

so, we can plug it

$\frac{CO}{4} =\frac{2}{1}$

$CO=8$

now, we can find CF

CF=OC+FO

CF=8+4

CF=12

now, we can see triangle ACF is a right angled triangle

so, we can use pythagoras theorem

$x^2=(\frac{x}{2} )^2+12^2$

now, we can solve for x

$\frac{3x^2}{4}=144$

$x^2=192$

$x=8\sqrt{3}$

Since, it is equilateral triangle

so,

$AC=x=8\sqrt{3}$

we know that

E is a mid-point

so,

$AE=\frac{AC}{2}$

now, we can plug values

$AE=\frac{8\sqrt{3}}{2}$

$AE=4\sqrt{3}$ ................Answer

5 0

3 years ago

Read 2 more answers

Item 15<br> Find the sale price.<br> Original price: $50<br><br> Discount: 15%

amm1812

Answer:

$42.5

Step-by-step explanation:

Find how much is 15% of 50 first

(15/100)×50=$7.5

$7.5 is the amount that will be discounted so

$50(original price)-$7.5(discount)=$42.5

7 0

3 years ago

-6+3(2-4(-3)+6)+(-5)

FromTheMoon [43]

Answer:

Step-by-step explanation:

Remove parenthesis.

−6+3(2−4⋅−3+6)−5

Multiply −4 by−3.

−6+3(2+12+6)−5

Add 2 and 12.

−6+3(14+6)−5

Add 14 and 6.

-6+3(20)-5

Multiply 3 by 20.

-6+60-5

Add -6+60.

54-5

Subtract 54 and 5.

3 0

3 years ago

Describe the steps to draw a line perpendicular to line segment AB through point C that is not on the segment.

poizon [28]

Answer:

First you can just flip the line on point C to make a 90 degree angle. That's the simple way.

Other way is to get the slope of AB let's say ex : -1/2

We need to get the slope of C to be a reversed reciprocal of -1/2. So, 2.

Basically I flipped -1/2 in to -2/1 then removed the negative sign for 2.

Hope that makes sense to ya

4 0

3 years ago