Answer:
For question 1 it's B
For question 2 it's C
Step-by-step explanation:
<u>For question 1, you have to apply the "Triangle Inequality Theorem"</u>
A+B > C
B+C > A
A+C > B
Let's say that A=22, B=17, C= 14
22+17 > 14 True
17+14 > 22 True
22+14 > 17 True
Therefore, the answer is B
<u>For question 2, you apply the rule of the sum of the triangles which is 180°</u>
70+70+? = 180
140+? = 180
? = 40
Therefore, it's C
Step-by-step explanation:
year 2012 population = 2,254,000*3.5%
= 78.89
each year up to 2020
so 2020 - 2012 =8
78.89*8 = 631
total population at end of 2020 =2,254,000 + 631
= 2,254631
I'm assuming that the salary is for the whole year. If it is not, do tell me.
Tax = 10/100 * 45000
= 4500
You owe $4500 in federal taxes.
Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
<u>The missing angles</u>
- Both the unknown angles have the same value as the other two angles in the triangles are the same
- ∠(missing) = 180 - (72 x 2)
- ∠(missing) = 180 - 144
- ∠(missing) = 36°
⇒ The sides are <u>equal</u>
⇒ Angles are <u>not 90°</u>
⇒ It is a <u>rhombus</u>
<u></u>
<u>Question 2</u>
- The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
- NY = NW (given)
- XN = NZ (given)
- ∠XNY = ∠WXZ (vertically opposite angles)
- ΔXNY ≅ ΔWXZ (SAS)
- They form <u>two congruent triangles</u> (Statement 2)
- From these two statements, it is evident the figure is a <u>parallelogram</u>