Answer:
m∠B = 107°
Step-by-step explanation:
The given geometric figure is a deltoid or quadrilateral with two pairs of equal adjacent sides whose diagonals are perpendicular.
The longer diagonal divides two opposite angles into two equal parts, which means:
m∠A = 2 · 32 = 64°
m∠C = 2 · 41 = 82
Also the angles m∠B ≅ m∠D = x
The total sum of the inner angles in the quadrilateral is 360°, which means:
2 · x = 360 - ( 64 + 82) = 360 - 146 = 214 => x = 214/2 = 107°
m∠B = 107°
God with you!!!
Answer:
The unit price is <u>63 cent</u> per kilogram bag of rice.
Step-by-step explanation:
Given:
A 6-kilogram bag of rice costs $3.80.
Now, to find the unit price.
So, to get the unit price we use unitary method:
If cost of 6 kilogram bag of rice = $3.80.
Then cost of 1 kilogram bag of rice = 
= 
Thus, the unit price is $0.633 per kilogram bag of rice.
Now, according to question we convert the unit price into cent by using conversion factor:
$1 = 100 cent
$0.633 = 
<em>So, rounded to nearest cent = 63 cent.</em>
Therefore, the unit price is 63 cent per kilogram bag of rice.
Supplementary angles are angles that add up to 180 degrees.
180 = 3x + 4 + 8x + 11
Combine like terms.
180 = 11x + 15
Subtract 15 from both sides.
165 = 11x
Divide both sides by 11
15 = x
m<ABC = 3x + 4 = 3(15) + 4 = 45 + 4 = 49 degrees.
Answer:
I can't see the numbers well, but the graph is decreasing from (-inf, minimum) and increasing from (minimum, inf). The minimum is the vertex. Hope this helps!
Step-by-step explanation:
