Answer:
34,623
Step-by-step explanation:
427,113 + 38,264 = 465377
500,000 - 465377 = 34,623 books in December must go out to meet the librarian's goal.
Answer: x = 6
Step-by-step explanation:
Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.
Next, we set up the proportion as follows:
Then, you cross multiply to get the equation:
After solving down algebraically, you get the value of x to be 6.
I hope this helps!
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²)
b = 9.16
With these values, we can find the hypotenuse in the triangle "B":
x = √b²+c²
x = √(9.16)²+(4)²
x = 10
Answer:
D
Step-by-step explanation:
multiply out the top to get 6x - 4 + 2x - 2 = 8x - 6
next look at the 4 choices.
when we multiply out and combine only for the x term, only the bottom two give us 8x.
3/4 * 4x + 5 * x = 8x
3/4 * 4x + 1/6 * 30x = 8x
next we look at the bottom two for which one will give us -6, in this case only D will.
3/4 * -8 + 5 * 15 = 69
3/4 * -12 + 1/6 * 18 = -6
Answer:
The measurement for x is 80°
Step-by-step explanation:
In the picture, we see two parallel lines cut by a transversal line. Since the lines are cut by a transversal, then there are a few things we should know that can help us find the value of x.
- <em>Corresponding angles are congruent. </em>
- <em>Angles that are right beside each other (such as ∠CBD and ∠CBA) are a linear pair. This means that they have a total measurement of 180° when added together. </em>
Now that we know these things, we can use this information to find the measurement of ∠CBA. We do this by subtracting 100 from 180 because ∠CBA and ∠CBD are a linear pair. Once we know the measurement of this angle, then it will be much easier to find the value of x.
180 - 100 = 80
So, the measurement of ∠CBA is 80°. Now, ∠CBA and ∠x are corresponding angles so this means that they have the same measurements. If the measurement of ∠CBA is 80°, then the measurement of ∠x is also 80°
x = 80°