A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.
B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other.
C. 5y-29=3y+19 then plug y into your equation: 5*24-29=91
2y=48 and so: <7 = 180-91=89 (and since <8 is congruent)
y=24 <8 also equals 89
Your second problem:
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
2x+x=90
3x=90
x=30 so: <B=30 degrees, <A=60 degrees
Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
2. 3x+7+4x+5=180
7x+12=180
7x=168
x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees
Answer:
domain is {4,5,6,7,8}, range is the other numbers in brackets
Step-by-step explanation:
For CO2 there is one atom of carbon and two atoms of oxygen. For H2O, there is one atom of oxygen and two atoms of hydrogen.
Answer:
14 Striped and 10 Flowered
Step-by-step explanation:
This can best be determined using a set of linear equations that are solved simultaneously.
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation
Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,
g + h = 24 and
15g + 13h = 340
g = 24 - h
15(24 - h) + 13h = 340
360 - 15h + 13h = 340
2h = 20
h = 10
g = 24 - h
g = 24 - 10
= 14
