Answer:
m∠ABC = 119° and DC = 105 feet
Step-by-step explanation:
For better understanding of the solution see the attached figure of the trapezium ABCD :
m∠BCD = 61°
By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°
⇒ m∠ABC = 180° - 61°
⇒ m∠ABC = 119°
Now, to find length of DC,
Draw a perpendicular BE on CD ⇒ CD = DE + EC
AB = DE
⇒ DE = 80 feet
In ΔBEC, By using Pythagoras theorem
EC² = BC² - BE²
⇒ EC² = 65² - 60²
⇒ EC = 25 feet
Hence, DC = 80 + 25
= 105 feet
Answer:
x=6
Step-by-step explanation:
Simplify —
3
Equation at the end of step 1 :
1
(— • (12x - 24)) - 16 = 0
3
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
12x - 24 = 12 • (x - 2)
Equation at the end of step 3 :
4 • (x - 2) - 16 = 0
The number of muffins Andrea baked: h
The number of muffins Violet baked: h-8
In order to find the average, we add the two expressions and divide them by 2.
(h)+(h-8)=2h-8
(2h-8)/2=h-4
The average number of muffins baked is h-4 muffins.
Hope this helped!
Answer:
pi [π] is the ratio of a circle's circumference to its diameter, and it is constant [meaning it is always the case] for all circles.
{this is a <em>long </em>number, 3.141592653589793238... is not even the full length, but 3.14 [or 3.14159] is typically used for estimation}
The significance of pi is typically centered in math--it can be used to find values that we don't know of circles. There are other areas of math that have been related back to the value of pi--which is incredible, and genuinely relevant.
We can find pi in the shape of rivers, physics--including waves--DNA
[+ anywhere there is a circle]
hope this helps!! :)
Answer:
67°
Step-by-step explanation:
Corresponding angles are equal in parallel lines.
Here, ∠acb and ∠aed are corresponding angles for lines bc and de
hence ∠aed = ∠acb = 39
in triangle ade,
x + 74 + 39 = 180 (angle sum property of a triangle)
x = 67°
