homework 2 solving systems by substitution
Use the figure at the right to name the following.
8. a pair of supplementary angles
9. a pair of complementary angles
10. a pair of vertical angles
Answer:
Supplementary: AKB and BKG
Complementary: FGE and EGD
Vertical: IJH and KJG
Step-by-step explanation:
The correct options are given below,
Supplementary: AKB and BKG
Complementary: FGE and EGD
Vertical: IJH and KJG
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.
A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.
Given that there are different lines crossing each other at different angles. The value of the different angles can be named as,
A pair of supplementary angles: AKB and BKG
A pair of complementary angles: FGE and EGD
A pair of vertical angles: IJH and KJG
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Rank the following in order from most precise to least precise.
1500 grams
8.43 inches
1580 meters
5.426 seconds
Answer:
1st most = 8.43 inches
2nd most = 5,426 Seconds
3rd most = 1580 meters
4th most = 1500 grams
Step-by-step explanation:
8.43 inches = 0.7025 feet is most precise as it rounded to 0.7 feet it wouldn't be precise enough.
5,426 Seconds = 01:30:26. hrs mins sec can be converted.
1580 meters = 1.58 km = 158000cm hasn't been properly converted as zeros get lost.
1500 grams = 1.5kg hasn't been precisely converted as zeros get lost.
Nicole makes $6.25 an hour babysitting. How much money will Nicole earn if she works 12 hours?
Answer:
$75
Step-by-step explanation:
Nicole makes $75 in 12 hours.
I hope this helped, if you have any other questions you may ask me.
A greeting card cost four dollars before tax. A customer has a 15% discount. Then the 5% sales tax is added. How much will the customer pay for the card?
Given:
Greeting card cost before tax = $4
Discount = 15%
Sales tax = 5%
To find:
How much will the customer pay for the card?
Solution:
It is given that the cost of the greeting card before tax is $4.
After 15% discount, the cost of the greeting card is:
Cost of card after discount [tex]=4-\dfrac{15}{100}\times {4}[/tex]
[tex]=4-0.6[/tex]
[tex]=3.4[/tex]
The cost of card after 5% sales tax is:
Cost of card after tax [tex]=3.4+\dfrac{5}{100}\times 3.4[/tex]
[tex]=3.4+0.17[/tex]
[tex]=3.57[/tex]
Therefore, the customer will pay $3.57 for the greeting card.
16. What are the missing sides?
TE
4 cm
3 cm
?
?
5 cm
10 cm
Last week, Russell bought 8 pizzas and 10 cakes for a total of $160.
Today, Russell bought 26 pizzas and 8 cakes for a total of $226.
Assuming neither item has changed in price, what is the cost of a pizza in dollars?
Answer:
$5
Step-by-step explanation:
Create a system of equations where p is the cost of a pizza and c is the cost of a cake
8p + 10c = 160
26p + 8c = 226
Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5
-32p - 40c = -640
130p + 40c = 1130
Add these together:
98p = 490
p = 5
So, the cost of a pizza is $5
Help plz!!
what is number 5 and 8?
Answer:
x=21
Step-by-step explanation:
for number 5 i think thats the awnser
Write the equation(y=mx) for the line that contains the points (6,6) and (10,14). No picture
Answer:
y = 2x - 6
Step-by-step explanation:
14-6/10-6 = 8/4 = 2 = slope
6 = 2(6) + b
6 = 12 + b
b = -6
A pack of 8 batteries costs £4.99.
How much does each battery cost?
Give your answer to the nearest penny.
Answer:
0.62
Step-by-step explanation:
4.99/8=0.62
Which of the following is equivalent to the addition problem below?
46.61 + 51.52
A.
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
B.
(40 + 50) + (6 + 5) + (0.6 + 0.1) + (0.01 + 0.02)
C.
(40 + 10) + (6 + 5) + (0.6 + 0.5) + (0.01 + 0.02)
D.
(40 + 50) + (6 + 1) + (0.6 + 0.1) + (0.05 + 0.02)
Answer:
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
Step-by-step explanation:
In this case, you are breaking each term down to it's non-zero digits, and adding them:
46.61 = 40 + 6 + 0.6 + 0.01
51.52 = 50 + 1 + 0.5 + 0.02
Note however, that the answer choices add each individual non-zero terms together:
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02), or A)
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02) is your answer.
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A quadrilateral must be a parallelogram if two the opposite sides are 1. Congruent only 2. Parallel only 3. Congruent and parallel 4 parallel and the other two sides are congruent
Answer:
what’s the question
Step-by-step explanation:
1. Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram. 2. Opposite Angles Theorem Converse: If both pairs of opposite angles of a quadrilateral are congruent, then the figure is a parallelogram.
Find the value of y when x=-5
y=7x
Answer:
y = -35
Step-by-step explanation:
y=7 * -5
7 *-5 = -35
y = -35
7m – 3m – 6 < 6 Solve each inequality and graph the solution.
Answer:
3
Step-by-step explanation:
Step-by-step explanation:
7m - 3m - 6 < 6
4m - 6 - 6 < 0
4m - 12 < 0
4m < 12
m < 12 ÷ 4
m < 3
In Orlando Florida the high temperature was 85 degrees Fahrenheit on Saturday and 79 degrees Fahrenheit on Sunday what is the percent of change in the high temperature from Saturday to Sunday to the nearest whole percent
Answer:
[tex]7\%[/tex]
Step-by-step explanation:
Initial temperature = 85 degrees Fahrenheit
Final temperature = 79 degrees Fahrenheit
Percentage change in temperature is given by
[tex]\dfrac{|\text{Final temperature}-\text{Initial temperature}|}{\text{Initial temperature}}\times 100\%\\ =\dfrac{|79-85|}{85}\times 100\%\\ =7.05\approx 7\%[/tex]
The change in the high temperature from Saturday to Sunday is [tex]7\%[/tex].
Solve each equation: -5(7-8x)-7x=-(3x+1)
Answer:
Step-by-step explanation:
LCM of the following 5,8,4
Answer:
40
Step-by-step explanation:
5 x 8 = 40
8 x 5 = 40
4 x 10 = 40
Answer:
40
Step-by-step explanation:
5: 5, 10, 15, 20, 25, 30, 35, 40
8: 8, 16, 24, 32, 40
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
BRAINLIST!!
The number of pages read by eight different students during a one hour reading class was used to create the box plot shown above. Which of the sets of numbers below matches the given box plot?
Answer:
C. Pages Read in an Hour: 10, 14, 16, 16, 18, 19, 21, 25
Step-by-step explanation: Got it on my study island question.
4x - 7y = -40
3x - 2y = -4
helppppp PLSSSSSSSSS lol
Answer:
C
Step-by-step explanation:
-7 + 3 = -4
x > -4
=
How many triangles can be constructed with side lengths of 4, 8, and 13?
A. 0
B. 1
C. More than 1
Answer:
yeah i dont know i want my points xd 494 4944
Step-by-step explanation:
if jaylee's snow cone maker can make 800 cubic inches of ice, how many snow cones can she make with the dimensions show below?
What dimensions shown below?
The ratio sin 30° : tan 45º can be written in the form 1 : n.
Find the value of n.
Answer:
n = 2
Step-by-step explanation:
sin 30° = ½
tan 45° = 1
then
sin 30° : tan 45° = 1 : n
½ : 1 = 1 : n
n = 2
The value of n for the trigonometric expression will be n = 2
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the ratio sin 30°: tan 45º can be written in form 1: n. The value of n will be calculated as:-
sin 30° = ½
tan 45° = 1
Then,
sin 30° : tan 45° = 1 : n
½ : 1 = 1 : n
n = 2
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Can someone help me find the mistake!!!!!
Answer:
She supposedly multiplies 4*4*16*-3y but distributes it correctly as if she put (16*4)+(4*-3y) which equals 64-12y.
The work shown is a mistake, the answer of y=5 isn't.
30 points !!!!!!! math
Answer:
uhm. picture?
Step-by-step explanation:
Answer:
u didnt add it
Step-by-step explanation:
I’m confused on this question
Answer:
percent will be
65÷90×100which the answer will be
72.2%Step-by-step explanation:
hope it helps
What are the roots of the equation 2x2 - 6x + 3 = 0?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given possible roots have the form that we'd get by using the quadratic formula, so let's start with that. Here the coefficients are {2, -6, 3}, and so the discriminant (b^2 - 4ac) is (-6)^2 - 4(2)(3), or 36 - 24 = 12.
Because the discriminant is positive we know immediately that there are two different real roots.
-(-6) ± √12 6 ± √12
x = ------------------ = ---------------- These are equivalent to Answers E and F.
2(2) 4
HELP ASAP WILL MARK BRAINLIEST
Answer:
1.
A- about 43.98
B- about 17.59
C- 32.99
Step-by-step explanation:
Answer:
1) 43.98
2) 17.59
3) 32.99
Step-by-step explanation:
hopefully they’re all right
Will give brainliest to whoever figures this out :(
Step-by-step explanation:
I think it's 8.9932×10⁶
Answer:
8,993,200
Step-by-step explanation:
10^3 is 1000
8993.2 * 1000
=
8,993,200
Someone Pls solve both fast
Answer:
#1) x=38
#2) x=12
Step-by-step explanation:
For (1)
Since its a triangle we know that all 3 interior angles added up is gonna eqaul 180 degrees. So we already have 2 angles which are 21 and 17. You add those up and you’d get 38. Now since the final angles is unknown we can just make a simple equation of 38+x=180 since we know 2 angles and we need 1 more and a triangle is 180 degrees alli ddded up together. You’d get 142 for that angle. X is adjacent to that angle and they form a straight line so it also has to be 180. We got 1 side and so we subtract 180-142= 38. X will be 38.
For (2)
Since its 2 parallel lines cut by a transversal and we have two same side interior angles we know its gonna be supplementary Which means that both those angles added up will be 180. Now we have the two different angles so we add them up and solve for x. (10x+17)+(3x+7)= 180. Commbine like terms which will turn out to be 13x+24=180. Subtract 24 on both sides. 13x= 156. Solve for x by diving 13 on both sides which will lead to x= 12