Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
The answer is called a linear equation :))
The answer would be 10 since 10 times 5 is 50 and a line equals 180 so the answer is A.10
Explanation:
In the given identified the following with reasons.
1. Given
2. Corresponding Angles postulate
3. Reflexive property of congruence
4. AA similarity postulate.
5. Triangle proportionate
6. Cross multiply
7. Distributive property of equality
8. Subtraction property of equality
9. Division property of equality
10. Prove
The measure of length SV is 60 units
<h3>Isosceles Right Triangle</h3>
An Isosceles right triangle is a right triangle that has equal opposite and adjacent sides.
The above means that:
Substitute values for SV and ST
Subtract z from both sides
From the figure, we have:
Substitute 30 for z
Hence, the measure of length SV is 60 units
Read more about isosceles right triangle at:
brainly.com/question/3956010
