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dybincka [34]
3 years ago
9

If the data (x+1), (2x+1), (x+7), and (3x+4) are in ascending order and the median is 16, then find the value of 'X'.​

Mathematics
1 answer:
Sonbull [250]3 years ago
7 0

Answer:

sum \:  = (x + 1) + (2x + 1) + (x + 7) + (3x + 4) \\  = 7x + 13 \\ median = ( \frac{sum}{2}  + 1) \\ 16 = ( \frac{7x + 13}{2}  + 1) \\ 7x + 13 = 14 \\ 7x = 1 \\ x =  \frac{1}{7}

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One angle of a triangle measures 65°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?
Nataly_w [17]

Answer:

15° and 100°

Step-by-step explanation:

65 + 3x + 20x = 180

23x = 115

x = 5

3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.

3 0
2 years ago
How many triangles can be made with a 70 degree angle a 30 degree angle and an 80 degree angle​
uranmaximum [27]

Answer:

There are infinite number of triangles that could be achieved with those angles.

To picture this, we only have to imagine a triangle that is either smaller or bigger than the one at hand.

Tracing a series of paralell lines (which guarantee that the angles are being kept),  we can draw triangles for infinite values of x,y and z.

5 0
3 years ago
Can someone help me plz??
Brut [27]

Answer:

96π

Step-by-step explanation:

v =  \frac{1}{3}  {r}^{2} h\pi

V=96π

5 0
3 years ago
Please help. I don't understand this.​
klio [65]

Answer:

radius=6

Step-by-step explanation:

arc ACB=6xPi

Pi=3.14159

arc ACB=18.85 (rounded to 2 places)

ACB is a half circle so a full circle would be 18.85x2 or 37.7

circumference (whole circle)=2 x Pi x radius

37.7=2 x 3.14159 x radius

radius= 37.7/(2 x 3.14159)

radius=6

7 0
3 years ago
Can you please solve and explain how
PtichkaEL [24]

If we take 24 h, and think that 150 bolts are produced during 1 hour,

then during 24 hours we will get 150*24 = 3600 bolts.

So, y = 150x represent the number of bolts the machine can produce in x hours.

150 bolts/h, and y =150bolts/h *24 h = 3600 bolts

Answer is B.

7 0
3 years ago
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