Answer:
Angle A: 28 degrees
Angle B: 24 degrees
Step-by-step explanation:
Hi there!
The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:
[tex]4y-4+3y=52[/tex]
1) Solve for y
[tex]4y-4+3y=52[/tex]
Combine like terms
[tex]7y-4=52[/tex]
Add 4 to both sides to isolate 7y
[tex]7y-4+4=52+4\\7y=56[/tex]
Divide both sides by 7
[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]
Therefore, y is equal to 8.
2) Solve for angles A and B
Angle A:
[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]
Angle B:
[tex]3y\\=3(8)\\=24[/tex]
I hope this helps!
A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?
A. t = s - 18
10t = 12s + 32
B. s = t - 18
12s = 10t + 32
C. s = t - 18
10s = 12t + 32
D. t = s - 18
12t = 10s + 32
Answer:
[tex]\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}[/tex]
Step-by-step explanation:
The each issue of the sports magazine, [tex]s[/tex], has 18 fewer pages than each issue of the technology magazine, [tex]t[/tex], we have equation [tex]s=t-18[/tex]. This eliminates answer choices A and D.
The second equation can be written from the fact that the total number of pages in all the sports magazines, [tex]12s[/tex], is 32 more than the total number of pages in all the technology magazines, [tex]10t[/tex]. Thus, we have equation [tex]12s=10t+32[/tex], eliminating answer choice C and leaving answer choice [tex]\boxed{\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}}[/tex]
A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.
Answer:
C. 24%
Step-by-step explanation:
hope it works
Answer:
39%
Step-by-step explanation:
Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.
What is the measure of angle S?
48o
56o
93o
101o
Answer:
C) 93o
Step-by-step explanation:
Trust the process
edge 2021
Answer:
Got a 100% on the Unit Test on Edge and 93 is the correct answer like the person above added! :D
Megan is shopping at a store that sells jewelry, scarves, and purses. The cost of all of the items at the store includes tax. Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace?
Answer: 7$
Step-by-step explanation: 40-4= 36 | 3x5=15 | 36-15=21 | 21/3=7
All of the following numbers are rational except _____.
Answer:
What are the numbers?
Step-by-step explanation:
I can help if you give the numbers :)
PLEASE HELP WILL NAME BRAINLIEST NO LINKS PLEASE
Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the axis of symmetry and the vertex for this function:
h(x) = (x - 5)2 - 7.
Answer:
Step-by-step explanation:
First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.
Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).
Hope this helps!
:)
What is the measure of Rsl?
Answer:
x = 13
Step-by-step explanation:
[tex](9x + 27) = (6x + 66) \\ 9x - 6x = 66 - 27 \\ 3x = 39 \\ x = \frac{39}{3} \\ x= 13 [/tex]
ZABC and ZQRS are complementary angles. If the measure of ZABC= 41º, what is the measure of ZQRS?
Answer:
m∠QRS = 139°
Step-by-step explanation:
yes
A rectangle has a length of 2x+7 and a width of 3x+8.
Write and simplify an expression for the perimeter of that rectangle
Answer:
2(2x+7)=4x+14
2(3x+8)=6x+16
4x+14+6x+16
4x+6x+14+16
The answer is:
10x+30
Find the area of an equilateral triangle (regular 3 Gon) with the given measurement 9 in perimeter a=SQ.in
Answer:
3.897 [tex]in^{2}[/tex]
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= (2.598)(3)
2
A = 3.897 rounded
What is the image of (-8,-8) after dilation by a scale factor of {1/4} centered at the origin?
Answer:
(-2, -2)
Step-by-step explanation:
To scale a factor by 1/4, you just need to divide the numbers by 4, or multiply them by 1/4.
-8/4=-2
Answer:
It would be (-2, -2)
i need help please. and explanation will help for tomorrow in a test:)
The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.
What is the standard form of the equation?
HELP FAST LOL HAHAHAH
Answer:
184
Step-by-step explanation:
First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.
Simplify
(2m^4)^4*-n^5
this is the last questions but I'm confused
Answer:
-16m^16 n^5
Step-by-step explanation:
(2m^4)^4*-n^5
= 2^4*m^16*(-n^5)
= 16 m^16 * (-n^5)
= -16m^16 n^5
hopefully this will help
Remember the rule
(a^m)^n=a^mnTerrific Tents has a new two-person tent. If the material costs $0.02 per square inch, find out how much it costs to make each two-person tent.
Answer:
$280
Step-by-step explanation:
Please find attached the image of the tent
cost of the tent = cost per square inch x total surface area of a triangular prism
total surface area of a triangular prism = (perimeter x height) + 2(area of a triangle)
Area of a triangle = 1/2 x base x height = 1/2 x 40 x 50 = 1000in²
1000 x 2 = 2000
Perimeter = 50 + 50 + 50 = 150
150 x 80 = 12,000
total surface area = 12,000 + 2000 = 14,000
Total cost = 14,000 x 0.02 = $280
which following algebraic statements are true
Answer:
All of them are true.
Step-by-step explanation:
x^2 y - z / x^2 is true. x^2, when divided by itself, cancels itself out, so the equation that is left is y - z.
For the second one, a/c + b/c is true because when you add a + b = it will change; it will be added together. the remaining c will stay the same, as it is the denominator/the same, so you keep it as it is.
For the final one, you distribute ^2 to (a+b), so they become a^2 + b^2.
This means that all of the statements are true.
PLEASE HELP ITS TIMED LITTERALY IM BEGGING :(( 32 points WITH BRAINLIEST!!
Answer:
I think it might be C but I'm not 100% sure!
Step-by-step explanation:
You have to find a line of best fit (a line through the dots) but it's kind of tricky to do that so I think it's probably C but it could also be A. Just use your best judgement on this one!
Answer:
C
Step-by-step explanation:
If you graph all 4 and plot all 4 of the point, line c is the most accurate and lines up the best out of all 4.
Which is the best description for the graph below?
A graph decreases from (0, 3) to (9, 0).
Answer:
Step-by-step explanation:
As we move from (0, 3) to (9, 0), we see x increasing by 9. This is the 'run.'
At the same time, we see y decreasing by 3. This is the 'rise.'
The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3
Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.
PLZZZZ ANSWERrrrrrrrrrrr
Can someone help me? It's urgent and thank you!
Answer:
15.2%
Step-by-step explanation:
There are 12 marbles in total and there are 5 red marbles, so the probability of getting a red marble is 5/12. There are now 11 marbles and there are 4 blue marbles. So the probability of getting a blue marble is 4/11.
You multiply these 2 values together.
5/12 * 4/11 = 20/132 = 0.1515
This is about 15.2%
Answer:
option b : 15.2 %
Step-by-step explanation:
5 Red , 4 Blue, 3 Yellow
Total balls = 12
[tex]Probability \ of \ choosing \ red = \frac{5C_1}{12C_1} = \frac{5}{12}\\\\Probability \ of \ choosing \ blue \ without \ replacement = \frac{4C_1}{11C_1} = \frac{4}{11}\\\\Probability \ of \ red \ and \ then \ blue = \frac{5}{12} \times \frac{4}{11} = 0.1515\\\\Probability \ in \ percentage = 0.1515 \times 100 = 15.15 = 15.2 \%[/tex]
point e is the midpoint of ca and bd. which statements about the diagram are true?
Answer:
Step-by-step explanation: i don’t know to be honest
50 POINTS
Find the approximate values of the five-number summary for the data set represented by this box plot.
Answer:
From the box plot we get:
Minimum - 14Maximum - 88Quartile 1 - 34Quartile 3 - 65Median - 48Answer:
the other person is correct!
Step-by-step explanation:
Show them some love <3!
ima give branliest if you answer this correctly
Answer:
Step-by-step explanation:
It 1 2
what is 20/100 in it's simplest form?
ik this i just wanna give someone my points lol
Answer:
1/5
Step-by-step explanation:
20/100
Divide the top and bottom by 20
20/20 =1
100/20 =5
20/100 = 1/5
20/100
Divide the top and bottom by 20
20/20 =1
100/20 =5
20/100 = 1/5
[tex] \tt \: \verified \: \: \: \red{ \checkmark}[/tex]
[tex] \frac{12}{20} - \frac{30}{20} [/tex]
Answer:
-9/10
Step-by-step explanation:
12/20 - 30/20
Since the denominators are the same, we can subtract the numerators
12-30 = -18
Put this over the denominator
-18/20
Simplify by dividing the top and bottom by 2
-9/10
The temperature in Anchorage, Alaska one morning was -8 degrees Fahrenheit. It rose slightly, increasing only 10 degrees by lunchtime. By dinnertime, the temperature had fallen 8 degrees. What was the ending temperature?
Answer:
The ending temperature was -6 degrees Fahrenheit.
Step-by-step explanation:
First, it was -8 degrees
Then, it was -8+10=2 degrees
Lastly, it was 2-8=-6 degrees
plzz help everything is due tonight! 29 pointssss
Answer:
Step-by-step explanation:
given= -3(2n-3)=25-8n
distributive property=-6n+9=25-8n
subtraction property= 2n+9=25
division property =2n=16
n=8
Which of the following graphs is the solution set of -10 < 3x - 4 < 8?
Answer:
3rd option
Step-by-step explanation:
Solving the inequality
- 10 < 3x - 4 < 8 ( add 4 to each interval )
- 6 < 3x < 12 ( divide each interval by 3 )
- 2 < x < 4
Since -2 less than x and x less than 4
This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.
The solution is represented on the 3rd graph
Answer:
its the 3rd graph
Step-by-step explanation:
A watch that originally cost $110 has been marked down to $88. What is the percent of the markdown?
12%
10%
25%
20%
Answer:
20%
Step-by-step explanation:
110-88=22
22/110=20