For the top shape, x = 11, y = 10 and z = 14.
Start with the equation: 11y + 7y = 180 because those two angles are supplementary. Solving that will give you that y = 10.
The angle that is labelled 7y is therefore 70 degrees. We can write the following equation will the 5x because it is corresponding to the 70 degree angle.
5z = 70
z = 14
And we can also write and solve for the x, using the 70 degree angle.
70 + 10x = 180
10x = 110
x = 11
The number of significant figures in the numbers are
- 100 cm = 1 significant digit
- 0.006700 cm = 2 significant digits
- 450. cm = 3 significant digits
<h3>How to determine the number of significant figures in the following numbers?</h3>
As a general rule, the zeros before and after the non-zero figures are not significant.
Using the above rule, we have:
- 100 cm = 1 significant digit
- 0.006700 cm = 2 significant digits
- 450. cm = 3 significant digits
<h3>
How to round the following numbers to the correct number of significant figures</h3>
Using the above rule in (a), we have:
- 123g to show 1 sig fig = 100 g
- 0.19851m to show 2 sig figs = 0.2 m
- 0.0057034L to show 3 sig figs = 0.005703 L
<h3>How to report the following answers with correct significant figures</h3>
We have:
(12.93cm) x (2.34cm) x (8cm) = 242.05 cm^3 because 12.93 has 4 significant figures
67.0m / 2.18s = 30.7 m/s because 2.18 has 3 significant figures
<h3>How to convert the following metric to metric</h3>
450mL = 0.45 L
because 1 mL = 0.001 L
2.3 dm = 0.00023 km
because 1 dm = 0.0001 km
0.120cg = 1.2 mg
because 1 cg = 10 mg
6700L = 670000 cL
because 1 L = 100 cL
<h3>How to convert the following metric</h3>
a. 2.34miles = 3.76 km (1mile = 1.61km) -- given
b. 5.3ft = 161.544 cm(2.54cm = 1 in)
Because 1 ft = 30.48 cm
Read more about significant figures at:
brainly.com/question/24491627
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First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
Answer:
D or 13 is the answer to this problem.
Answer:
This how you get x. First the way to find the answer is to first put 5x by itself by canceling it out and putting it on the other side of the = which will be
5x-(x-18)=
-5x -5
Which then gets you this
-(x-18)=-5x
After that its
x-18=-5x
once you have this subtract x
x-18=-5x
-x -x
-18=-6x
Then it leaves you the easy part of just dividing
-18/-6x=-6x/-6x
After dividing you get x to be 3
x=3
Once you have x=3 input that number into your equation and you get the answer.
Hope this helps
