Answer:
(I only have the answers for 3 and 4) 3. Volume: 192 Surface Area: 16 4. Volume: 1,200 Surface Area: 100
Step-by-step explanation:
3. Volume: 4 x 4 = 16 x 12 = 192 Surface Area: 4 x 4 = 16 4. Volume: 10 x 10 = 100 x 12 = 1,200 Surface Area: 10 x 10 = 100
In the above problem, you want to find the number of multiples of 7 between 30 and 300.
This is an Arithmetic progression where you have n number of terms between 30 and 300 that are multiples of 7. So it is evident that the common difference here is 7.
Arithmetic progression is a sequence of numbers where each new number in the sequence is generated by adding a constant value (in the above case, it is 7) to the preceding number, called the common difference (d)
In the above case, the first number after 30 that is a multiple of 7 is 35
So first number (a) = 35
The last number in the sequence less than 300 that is a multiple of 7 is 294
So, last number (l) = 294
Common difference (d) = 7
The formula to find the number of terms in the sequence (n) is,
n = ((l - a) ÷ d) + 1 = ((294 - 35) ÷ 7) + 1 = (259 ÷ 7) + 1 = 37 + 1 = 38
It's a bisector angle construction.
BD is the Angle Bisector.
Angle bisector - A line which cuts an angle into two equal halves.
Therefore statement C is true.
<h3>C. m∠ABD = m∠CBD</h3>
Answer:
Option B.
Step-by-step explanation:
we know that
A <u>r</u><u><em>igid transformation</em></u> is a transformation that does not alter the size or shape of a figure.
The translation is a rigid transformation that produce congruent figures
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
therefore
The squares are congruent because translations are rigid transformations that preserve the length of the sides of the square
You would know if it is a linear function if it is a line.
The parent function of a linear equation is y = mx + b
If you can find the m which equals slope and the b which is the y-intercept then it is a linear equation.
You would know that it is decreasing by the slope of the equation or by looking at the line on a graph.
If a line is increasing it would go left to right in the positive direction. But in your line, the line is going from right to left which means that it is decreasing. Once you look at a four quadrant graph you would understand that there are negatives and positives.
To find it on a equation, your slope would have to be a negative slope to be decreasing.
