Answer:
Always
Step-by-step explanation:
An acute angle is an angle that is less than 90. Supplementary angles add up to 180.
So 180-89= 91
An obtuse angle is any angle that is greater than 90.
Here's a link to a better explanation.
brainly.com/question/14180317
Answer:
(-1, 3)
Step-by-step explanation:
x - 5y = -16 [Equation 1]
-x + 3y = 10 [Equation 2]
<u>Adding both equations</u>
- x - x - 5y + 3y = -16 + 10
- -2y = -6
- y = 3
- x - 5(3) = -16
- x - 15 = -16
- x = -1
<u>Solution</u> : (-1, 3)
Answer:
The Perimeter of the Figure to the nearest tenth is 18.7 units
Step-by-step explanation:
Please note I have attached an edited version of your sketch to aid my solution. Now this question can be solved in multiple ways. Here, we shall see one of them. Looking at the original sketch, we can see that the figure is actually a combination of a Triangle (Figure 1 in my sketch) and a rectangle (Figure 2 in my sketch). So we can simply find the sides of a Triangle and the sides of a Rectangle and add them. Perimeter on Figure 1:The Perimeter of a Triangle is given by the Sum of the three sides as:
AT=a+b+c
Perimeter on Sketched Figure:The perimeter of the total figure will be two sides of the triangle and the three sides of the rectangle (as the one adjacent between Fig. 1 and 2 can not be taken into account). Thus we need to find 5 different sides and add them together. Now since the figure is on a graph paper, we can read of the size of some sides, thus the left side of the triangle is units and the base of the triangle is also units. Now to find the last unknown side we can take Pythagorian theorem, since our triangle is a Right triangle, (i.e. one angle is 90°). Pythagoras states that the squared of the hypotenuse of a right triangle is equal to the sum of the squares of the other two legs of the triangle (where the hypotenuse side is always across the 90° angle. So here we can say that: where is the hypotenuse and our unknown side. So plugging in values and solving for we have: units.
Perimeter on Figure 2:
The Perimeter of the Rectangle is given by:
Ar=2(w+l)
Answer(s):
<em>- p + (3p-5) + (4p+6)</em>
<em>(I cant really tell if there's another answer sorry, but i know this one is correct.)</em>
Answer:
total number of boys in skool is 216
And
ratio of girls to boys is a 3:4
Step-by-step explanation:
let total no. of boys be X
ACCORDING TO QUESTION
ratio of boys to girls = 4:3
total number of girls = 162
now
4/3=X/162
or, 4×162= 3x
or, 4×162/3= X
hence
X = 216
therefore total number of boys is 216
and
ratio of girls to boys is =162/216
=3/4
=3:4