The missing figure is attached
The value of a is 
⇒ 2nd answer
Step-by-step explanation:
Let as revise the Pythagoras Theorem
In the right triangle ABC, where ∠B is a right angle (AC is the hypotenuse, Ab and BC are the legs of the right angle)
- (AC)² = (AB)² + (BC)²
- (AB)² = (AC)² - (BC)²
- (BC)² = (AC)² - (AB)²
If BD is drawn perpendicular to AC, we can use these rules
- (AB)² = AD × AC
- (BC)² = CD × AC
- (BD)² = AD × CD
- AB × BC = BD × AC
In Δ WYZ
∵ m∠WYZ = 90°
- By using Pythagoras Theorem
∴ (WZ)² = (WY)² + (YZ)²
∵ WY = 4 units
∵ YZ = 3 units
∵ WZ = c units
∴ c² = (4)² + (3)²
∴ c² = 16 + 9 = 25
- Take √ for both sides
∴ c = 5
In Δ XWZ
∵ m∠XWZ = 90°
∵ WY ⊥ XZ
- We can use the rule (WZ)² = ZY × ZX
∵ (WZ)² = ZY × ZX
∵ WZ = 5 units
∵ ZY = 3 units
∵ ZX = (3 + a) units
∴ (5)² = 3(3 + a)
∴ 25 = 9 + 3a
- Subtract 9 from both sides
∴ 16 = 3a
- Divide both sides by 3
∴ a =
The value of a is
Learn more:
You can learn more about the rules of the right triangle in brainly.com/question/14390928
#LearnwithBrainly
Answer:
Price is $1088 (agrees with answer B)
Step-by-step explanation:
Notice that the linear equation that represents this relationship can be estimated via finding the slope and y-intercept using a couple of the given points on the plane (for example (5, 140), and (10, 200), which results in;
Price = 12 x + 80
where "x" is the number of computers shipped.
Then, to ship 84 computers, we have the following price:
Price = 12 (84) + 80 = 1088
Then the price is $1088.
as I read this one, they listed their sales as 1700, BUT the scale for those numbers are that each 1 is a "100", namely, they're on a 1:100 scale, so the 1700 is really 1700 * 100, or 170000.
170,000 is 170 * 1000, or 170 thousands.
We have been given that a hiker begins in a valley at 150 feet below sea level. When the hiker reaches the highest point on the trail, he is 579 feet above sea level. We are asked to find change (in feet) in elevation of the hiker.
To find change in hiker's elevation we will subtract hiker's initial elevation from hiker's elevation at the end of trail.
We are subtracting negative 150 because at the beginning of trail hiker was 150 feet below sea level.
Therefore, the change in hiker's elevation is 729 feet.
