Answer:
<h2>
m∠ABC = 30°</h2>
Step-by-step explanation:
m∠BAD = 0.5m∠BCD = 0.5•126° = 63°
The angles in quadriteral add to 360°, so:
m∠ABC + m∠BAC + m∠ACD + reflex m∠BCD = 360°
m∠ABC + 63° + 33° + (360° - 126°) = 360°
m∠ABC + 96° - 126° = 0
m∠ABC = 30°
Answer:
Between 85 and 100
Step-by-step explanation:
Getting this will get the average between the required numbers since the average of 83 and 87 is 85, getting 85 will keep the answer at 85 and getting 100 will get the average at 90.
Answer:
<h2>1.326 ......</h2>
Step-by-step explanation:
³√81 = 4.326
³√216 = 6
⁴√16 = 2
√225 = 15
<h3> X = ³√81 - 8 ³√216 + 15 ⁴√16 + √225 </h3>
X = 4.326 - (8×6) + (15×2) + 15
X = 4.326 - 48 + 30 + 15
X = 49.326 - 48
X = 1.326 ............
Step-by-step explanation:
The area of a triangle equals 1/2*base of triangle*height of triangle. Think about when you're finding the area of a square, you multiply the base times its height. A triangle is half of a square so then you just multiply it by 1/2.
1) Use the pathagreom theorem; a^2+b^2=c^2
(The hypotenuse is always c. The other two legs can be either a or b.)
*use x for the unknown side*
1. Plug in the measurements
4^2+x^2=8.5^2
2. Solve
16+x^2=72.25
RADICAL(56.25)=> 7.5
The measure of the other side of the triangle (x) is= 7.5 m
2) Draw a square with the measure of 20 cm on each side.
Draw a diagonal line across the square.
(Use the pathagroeam theorem)
We know that the legs are 20, and 20. The hypotenuse is what we are trying to find (x).
1. Plug in the measurements
20^2+20^2=x^2
2. Solve
800= x^2
20 RADICAL(2)=> 28.28
The measure of the other side of the triangle (x) is= 28.3 cm