Answer:
w < 7
Step-by-step explanation:
Since the inequality is an OPEN circle, that means the sign is < or >
Since the sign is going to the left that means it's < or ≤
The one that has both of these effects is <
Since the sign starts at 7, the inequality is w < 7
Answer: 925 over z
Step-by-step explanation:
James bought juice for his class party
Juice label says container has the quantity of juice = 925 ml
If y is the number of servings of juice and z is the number of milliliters per serving then
Answer: y = - 0.4 x - 4.5
Step-by-step explanation:
Equation y=mx+b
m is the slope
x is *ANY* x coordinate
y is *ANY* y coordinate
b is y intercept or WHERE the point is on the Y AXIS
Lets look at the given:
Slope (m) is -2/5
Passes through point 15, -9/2
As you can see, the point goes through the Y axis at (-9/2)
Our equation is y = - 0.4 x - 4.5
Answer:
ABC~WXY by AA
Step-by-step explanation:
In ΔABC
∠B = 90°
∠A = 27°
To Find ∠C
Angle sum property: The sum of all angles of triangle is 180°
∠A+∠B+∠C=180°
27°+90°+∠C=180°
∠C=180°-117°
∠C=63°
In ΔWXY
∠X = 90°
∠Y = 63°
We will use angle sum property
So, ∠W+∠Y+∠X=180°
90°+63°+∠W=180°
∠W=180°-(90°+63°)
∠W=27°
So, ∠A=∠W
∠B =∠X
∠C = ∠Y
So, ABC~WXY by Angle - Angle property.
Hence ABC~WXY by AA
Sketch a right
triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x”
and assigning angle “a” as the angle between A and H. Using Pythagorean theorem,
you will get “square root of x-squared minus 9” as the opposite side (O). Using
SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) =
x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side
over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the
algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.
