Answer:
37.89051724=x
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the same side of the small triangle over the large triangle.
MA MB
------- = ----------
MN MP
80.5 -35 x
------------- = ----------
70.5 96.6 -x
Simplifying
45.5 x
------------- = ----------
70.5 96.6 -x
Using cross products
45.5 (96.6-x) = 70.5x
Distribute
4395.3 - 45.5 x = 70.5x
Add 45.5x to each side
4395.3 - 45.5 x+45.5x = 70.5x+45.5x
4395.3 = 116x
Divide each side by 116
4395.3/116 = 116x/116
37.89051724=x
A triangle needs a total of 180° to be a complete triangle. First let's solve for m∠B since we have the other angles given in that triangle.
30 + 70 = 100
180 - 100 = 80° still needed to form a complete triangle. This is what m∠B equals.
From the image provided, we can see that both triangles are the exact same. So all we need to do now is find the angle that matches m∠B. In this case that angle is m∠D. Knowing that m∠B = 80° the final answer is:
m∠D = 80°
Hoped This Helped! Good Luck!
Bar graph display directly the varibales which are the rate and ratio of the numbers to visualize and display the results, these contrasting the different outcomes. On the contrary, histogram is used in grouped frequency parameters. Moreover, as little as the given five parameters or data set this will be ineffective and will result to a bar graph only and basically, the suited option is the aforementioned vertical graph to display the numbers. To expound on the definition of histogram it is used when the frequency is grouped. For example the data set of 1-5, 6-10, 11-15 and 16-20 this now can be used and applied to illustrate histogram because of the number and quantity of the given data.<span>
</span>
Answer:
x=-2
Step-by-step explanation:
4+8x=-12
-4 -4
8x = -16
/8 /8
x = -2
