JM=12
JL= 14
MN=?
MK=?
VT= 11
UV= 9
RS=?
ST=?
GF=23
HF=20
GH=?
GE=?
M<1=?
M<2=?
M<3=?
M<4=?
M<5=?
M<6=?
M<7=?
M<8 = 90 degrees
WXZ = 34 degrees
WVZ=90 degrees
ZYW= 56 degrees
These are the only answers I knew, I’m sorry I couldn’t find the rest. If I do find more answers, I’ll comment them.
Answer:
x = 15
Step-by-step explanation:
y = family members = 7
x = cost of ticket
7x + 6y = 147
Substitute 7 for y:
7x + 6(7) = 147
7x + 42 = 147
Subtract 42 on both sides:
7x + 42 = 147
- 42 -42
7x = 105
Divide both sides by 7:
7x = 105
x = 15
Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20
We also know that he shot total of 1250 shots:
50a + 100 b = 1250
We have two equations. We can solve them for a and b. Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15
Mark shot 100 shots on 5 days.
IQR = 6
First locate the median
at the centre of the data arranged in ascending order. Then locate the lower and upper quartiles
and
located at the centre of the data to the left and right of the median.
Note that if any of the above are not whole values then they are the average of the values either side of the centre.
rearrange data in ascending order
15 16 ↓17 17 18 21 22 ↓23 25
↑
= 18
=
= 16.5
=
= 22.5
IQR =
-
= 22.5 - 16.5 = 6
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm