The correct answer is
m∠B ==101°,
m∠C =79°,
m∠D=101°
Step-by-step explanation:
- As we know that, it is a parallelogram opposite angels are congruent
- Therefore, m∠A = m∠C and m∠B =m∠B
-
As we know that, If side a=79 then side c must also be equal to 79
- When we consider all the angles and add them it must be equal to 360°
- When we add 79+79 = 158°, which mean a=c= 158°
- By subtracting all the sides of parallelogram which is 360- 158= 202°
- If we divide it by 2 then we will get the value of the other side of the angle which is b and d.
- Dividing 202 by 2
= 101°- Therefore, the value of b=d=101°
- A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
- A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.
1. Approximate the measure of your angle. Angles can be categorized in three ways: acute, obtuse, and right. Acute angles are less than 90 degrees, obtuse angles are greater than 90 degrees, and right angles are exactly 90 degrees.
2. Place the origin over the center point, or vertex, of the angle you want to measure. The small hole in the middle of the protractor is the origin. Put the vertex of the angle with the center of the cross in the origin.
3. Rotate the protractor to line up one leg of the angle with the baseline. Maintain the vertex of the angle in the origin and rotate the protractor so that one of the legs of the angle falls on the baseline of the protractor.<span>The baseline is even to the edge, but is not the flat edge of the protractor. It is lined up with the center of the origin and the line projects to the start of the scale on either side.
</span>4. Follow the opposite leg of the angle up to the measurements on the protractor's arc. If the line does not pass through the protractor’s arc, make the angle's line longer until it does. You can align the edge of a piece of paper with the angle’s leg to pass beyond the edge of the protractor, continuing the line of the angle. The number the line passes through is the angle's measurement in degrees. <span><span>
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The cost can be optimized by using a Linear Programming given the linear constraint system
- To minimize the cost, the biologist should use <u>60 samples of Type I</u> bacteria and <u>0 samples of Type II</u> bacteria
Reason:
Let <em>X</em> represent Type 1 bacteria, and let <em>Y</em>, represent Type II bacteria, we have;
The constraints are;
4·X + 3·Y ≥ 240
20 ≤ X ≤ 60
Y ≤ 70
P = 5·X + 7·Y
Solving the inequality gives;
4·X + 3·Y ≥ 240
(Equation for the inequality graphs)
The boundary of the feasible region are;
(20, 70)
(20, 53.
)
(60, 0)
(60, 70)
The cost are ;
![\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7DX%26Y%26P%3D%205%5Ctimes%20X%20%2B%207%20%5Ctimes%20Y%5C%5C20%2670%26590%5C%5C20%2653.%5Coverline%203%26473.%5Coverline%203%5C%5C60%260%26300%5C%5C60%2670%26790%5Cend%7Barray%7D%5Cright%5D)
- Therefore, the minimum cost of $300 is obtained by using <u>60 samples of Type I</u> and <u>0 samples of Type II</u>
Learn more here:
brainly.com/question/17646656
Parallel means same slope, so in the image, line PQ is connected by a line. The other point I made has a line parallel through it.
I hope this helps you
x^2+7x+12
x.x+3x+4x+3.4
(x+3).(x+4)
