Answer:
x=2°
Step-by-step explanation:
The given angles are corresponding angles.
Corresponding angles are congruent.
7x+3=8x+1
2=x
x=2
P=2(L+W)
l=x+7
w=x
P=2(x+7+x)
P=2(2x+7)
P=4x+14
hast to be greater than 154
P>154
4x+14>154
minus 14 both sides
4x>140
divide 4
x>35
Answer: Arc CE measures 62 units
Step-by-step explanation: What we have in the question is a circle with two secants ABC and ADE. The two secants have been extended such that two arcs have been formed which are, major arc CE (that is, 4x - 10) and minor arc BD (that is 26).
When you have a circle with two intersecting secants, the angle x (that is angle CAE) is derived as half of the difference of the two intercepted arcs. That is;
Angle x = 1/2 [CE - BD)
Angle x = 1/2 [ (4x - 10) - 26]
Angle x = 1/2(4x - 36)
Cross multiply and we now have
2x = 4x - 36
Collect like terms and we now have
36 = 4x - 2x
36 = 2x
Divide both sides by 2
18 = x
Having calculated x as 18, where arc CE equals 4x - 10, then substitute for the value of x.
CE = 4(18) - 10
CE = 72 - 10
CE = 62
Answer: Draw a line through the two points (0,2) and (3,3). See the attached image below.
How did I get these two points? The first point comes from the fact that "at the start, the height is 2 inches" meaning that x = 0 hours and y = 2 inches pair up together. This is show as point A. This is the y intercept as this is the location where the blue graph crosses the vertical y axis.
Point B is found by moving 1 unit up from point A and 3 units to the right to land on (3,3). So we have x = 3 hours and y = 3 inches pair up together.
Note: the slope is rise/run = 1/3 helping us determine the unit rate or speed in which the water is rising (ie the water is rising one-third of an inch per hour)
Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000368
mm, while the length of the second strain measures 0.000000064 mm. How much larger is the first strain than the second?
We can figure this out using scientific notation.


Put 3.04e-7 in standard notation.

Put 0.00000304 back into scientific notation, instead with a multiply sign.
Move the dot back, making the number in between 1-10.
In this case, we would move it back 7 times.
· 
So the answer would be A.