Answer:
length=45 m (2 sides = 90m)
Step-by-step explanation:
5x +3x=144
8x=144
x=18 (each of the 8 parts of 144 measure 18m)
5(18) + 3(18)=144
90 +54=144
90/2=45 (1 length side)
54/2=27 (1 width side)
The rectangle= 45+45 +27+27 = 144
A) Vertical angles are congruent: It is true. Vertical angles are called opposite angles, so they are congruent.
B) Angles with measures between 0- 90 degrees are complementary: It is false. Complementary angles are angles that the sum of their value is 90°
C) Straight angles are complementary: it is false. Straight angles are angles which value is 180°.
D) Angles with measure between 90 and 180 degrees are obtuse. This statement is true by definition
<span>
</span>
Answer:
-80
Step-by-step explanation:
We have to do the parentheses first because it's part of PEDMAS.
-2x-5= 10
Next, we take 10 times -8
-8 x 10= -80
There you go! Hope this helps!
You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
