The other number is -3.
Step-by-step explanation:
Step 1; First we develop formulae for the given information. A number is added with 3 and the resulting sum is multiplied by 4. This number is then divided by 2 and the quotient is 0. Assume the unknown number is x, then the given information is as follows
The quotient of is 0. So = 0.
Step 2; Now we solve the above equation. The denominator is taken to the RHS and the RHS remains zero.
= 0, 4(x+3)= 0, 4x+ 12 = 0, 4x = -12, x = = -3.
So the other number is -3.
Answer:
5 units
Step-by-step explanation:
Image of the trapezoid is attached.
To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.
The formula for area of a trapezoid is:
Here, a and b represents the bases of the trapezoid.
a = 6
b = 10
h which represents height is unknown.
A = 40
Substitute figures:
Solve for h:
The height of the trapezoid is 5 units
Answer:
think its cineplex hope I helped please mark brainliest
Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
<u>10x- 9 = 9x</u>
Subtract 9x from each side: x - 9 = 0
Add 9 to each side: <u> x = 9</u>
Now that we know what 'x' is, we can find the size of Angles-5 and -7 .
Angle-7 = 9x = 81° .
Now look at Angle-6 ... the one that's the answer to the problem.
Angle-6 and -7 together make a straight line, so they must
add up to 180°.
<u>Angle-6 + 81° = 180°</u>
Subtract 81° from each side: Angle-6 = <em>99° .</em>