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Setler79 [48]
3 years ago
10

Please help me find the angle! (link) Thank you!

Mathematics
1 answer:
Vlad [161]3 years ago
4 0

So angle CBD and ABC are a linear pair, which means that the two angles are supplementary (add up to 180°). Using this info, we can solve the equation for x as such:

6x-60+8x+16=180\\ 14x-44=180\\ 14x=224\\ x=16

Now that we got x, plug in 16 into x into 6x-60 and solve:

6(16)-60\\ 96-60\\ 36

In short, Angle ABC is 36°

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Jessica is purchasing a new car whose MSRP is $19,750. She is trading in her old car for $8100 and being upgraded to a premium p
andrew-mc [135]

Jessica is purchasing a new car whose MSRP is $19,750. She is trading in her old car for $8100.

Without the upgrade package and delivery charge , the cost of her car is

19,750 - 8100 = $11650

upgraded cost = $6000 and  Vehicle delivery =  $600. we add the upgraded cost and delivery cost.

Total cost of car = 11650 + 6000 + 600 = $18,250


6 0
3 years ago
Read 2 more answers
A bit stuck on how to do this
Helen [10]

Answer:

x = 40°

Step-by-step explanation:

Two sides are the same length, so the angles opposite them are the same size.

The sum of the angles = 180°. One angle is 100°, so the sum of the remaining two angles is 80°.

Since the remaining two angles are congruent, each is 40°.

8 0
3 years ago
How to solve this problem
Agata [3.3K]
So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
+12=12
-6x=24
Then divide 24 by -6
X=4

(-4,-6) is your final answer.
7 0
3 years ago
A drainage basin bordering the sea has an area of 7500 km2 . The average precipitation for this drainage basin is 900 mm year-1
Alexxx [7]

Answer with Step-by-step explanation:

The basic water balance dictates that "Amount of water flowing into the basin should be equal to the amount of water flowing out of it".

Mathematically

Water_{in}=Water_{out}\\\\P=E+Q+I

where

P = precipitation

I = Infiltration losses in the basin

E = Evapotranspiration

Q = is outflow from the basin

Applying the given values we get

900=E+\frac{22.5\times 10^{8}}{7500\times 10^{6}}\times 1000+100\\\\900=E+300+100

Part b)

From the above equation we get

E=900-400=500mm/year

The evaporation in cubic meters per year is

E'=0.5\times 7500\times 10^{6}=3750\times 10^{6}m^3/year

7 0
3 years ago
A group of forest rangers work 5 days per week. It takes them 3 days to plant trees on 1/3 acre. What is the unit rate in acres
Talja [164]
I would say 5/9 acres a week
7 0
3 years ago
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