Hey there!!
(1) Both the angles sum up to be 180.
(2) Both the angles sum up to be 90
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(1) 4x+5+8x-5=180
... 12x=180
... x= 180/12
... x = 15
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(2) 4z+3z+6=90
... 7z+6=90
... 7z=84
... z=84/7
... x=12
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Hope it helps!
Answer:
To find the mode you need to check the number which is more often repeated in the set than the other.But as you can see here there is no number which is repeated more often than the other everyone is repeated once,so in this case we say that the set of data values has no mode.
To find the the range of the set of data you need to first place the numbers in ascending order (as it is already in) and then find the greatest and the smallest number and subtract them.
Range :
10,20,30,40,50,60,70,80,90,100,110,120,130,140,150.
Greatest number = 150.
Smallest number = 10.
Subtract = 150-10 = 140.
Step-by-step explanation:
Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
Answer:
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You need to apply the Distributive property on the left member of the equation:
2. Now, you must solve for 
, as following:
Answer:
159
Step-by-step explanation:
k (9) = (2 * 
) - 3
= (2 * 81) - 3
= 162 - 3
= 159
