First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.
Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.
For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.
Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.
Answer:
1= 51
2= 18
3= 123
4= 39
Step-by-step explanation:
First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.
Fill in the missing reason in proof.
Answer:
SASStep-by-step explanation:
As per steps given the congruent pairs are:
AB and ACBD and CDAngle B and angle CSo two sides and included angle - it represents side-angle-side or SAS congruency theorem
How long does it take for the contestant to go from A to D if 15 feet is a second. I got 13.333 seconds but it says im wrong. Can someone help me out please
========================================================
Explanation:
Since triangle ABD is congruent to triangle CBD, this means the corresponding pieces AB and BC are the same length. Both are 70 feet.
Similarly, AD = DC = 60 ft.
The total length traveled is:
AB+BC+CD = 70+70+60 = 200 ft
We never use BD = 50 at all.
Divide this total distance over the speed of 15 ft per second, and we get 200/15 = 13.333 seconds approximately.
You are correct so far. You just need to round this value to the nearest tenth, as the instructions indicate. So you'll round to one decimal place. The value 13.333 turns into 13.3 which is the final answer.
Factor 16x – 12 by the GCF.
Answer:
148 i thk i did 16x-12
Step-by-step explanation:
solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12
Answer: x =3; y = -2
[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]
Step-by-step explanation:
Answer:
x = 3, y = -2.
Step-by-step explanation:
5x + 6y = 3
2x - 3y = 12 Multiply this by 2:
4x - 6y = 24 Now add this to the first equation:
9x = 27
x = 3.
Substitute x = 3 in the second equation:
2(3) - 3y = 12
-3y = 12 - 6 = 6
y = 6 / -3
y = -2.
what is 1/4 times 6 in simplest form?
Which expression is equivalent to 8(x + 2)?
(A was wrong) C 8x + 16
B 8 + x + 8 + 2 D 8x + 10
Car dealership pays a wholesale price of $10,000 to purchase a vehicle if they mark up the price 20% what is the retail price of the car
Answer:
8000
Step-by-step explanation:
10000 x 20% = 2000
10000-2000= 8000
Let see if this work
Answer:
i really dont know what you are saying, but thanks for the points and have a nice day! always smile peeps!
Chris is trimming trees. He can trim 2/3 of a tree in 1/2 of an hour. At what rate can Chris trim trees
Answer:
1 tree every 45 mins
Step-by-step explanation:
Answer:
he trims i 1 and 1/3 trees an hour
it would take him 45 minutes to trim 1 tree
Step-by-step explanation:
what is the length of a chord at a distance for 4 cm away from the centre of a circle of radius 5 cm
See attachment for math work.
We must reject x = -3 because distance is positive.
The value of x is 3.
Chord = 2x
Chord = 2(3)
Chord = 6 cm
write a polynomial equation for each set of roots 5 and 7
Answer:
x²-2x-35
Step-by-step explanation:
(x-7)(x+5)
x²+5x-7x-35
x²-2x-35
Solve for A if ñ=3.14 and r=3.
Answer:
28.26
Step-by-step explanation:
The question gives the first three digits of π, which is 3.14, and it gives us the radius, which is 3. So, just substitute them into the formula and you’ll get 3.14(3^2). Solve it and the final answer is 28.26.
Hope this helps! :)
happy holidays! please help me, it's algebra 2!
Answer:
Answer Choice B
Step-by-step explanation:
f(x) is just another way of saying y=.
To inverse, just flip the x & y and isolate the y variable.
[tex]x=-y^3-9\\x+9=-y^3\\-x-9=y^3\\\sqrt[3]{-x-9}=y[/tex]
Find the volume of a right circular cone that has a height of 15.2 cm and a base with a diameter of 11.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
9514 1404 393
Answer:
563.5 cm³
Step-by-step explanation:
Use the formula for the volume of a cone:
V = (1/3)πr²h
Recognize that the radius is half the diameter:
r = (11.9 cm)/2 = 5.95 cm
V = (1/3)π(5.95 cm)²(15.2 cm) ≈ 563.516 cm³
The volume of the cone is about 563.5 cm³.
_____
Additional comment
If you use 3.14 for the value of π, then the result will be 563.2 cm³.
two equations in standard for equivalent to x+y=-10
The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests ​negative, given that he or she has the disease.
Answer:
[tex]Probability = 0.0470[/tex]
Step-by-step explanation:
This question has missing detail. (See attachment for the data)
Required
Determine the probability that a selected individual who has the disease test negative.
This type of probability is referred to as conditional probability.
First, we need to get the number of individuals who have the disease.
[tex]Disease =142 + 7[/tex]
[tex]Disease =149[/tex]
Next, we list out the number of individual who have the disease but is negative.
[tex]Negative = 7[/tex]
The probability is then calculated as:
[tex]Probability = \frac{Negative}{Disease}[/tex]
[tex]Probability = \frac{7}{149}[/tex]
[tex]Probability = 0.04697986577[/tex]
[tex]Probability = 0.0470[/tex] (approximated)
In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
Find the common difference. Give only the exact value as your answer.
Answer:
37.5% that is the answer
Step-by-step explanation:
The required common difference is 4.
What is an arithmatic progression?An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.
Now it is given that,
the seventh term, T₇ = −9 and
the nineteenth term, T₉ = 39.
Let a be the first term, d is the common difference and n is the number of term.
Since Tn of the series is given as,
Tn = a + (n-1)d
Therefore,
T₇ = a + (7-1)d
⇒ -9 = a + 6d ...(i)
and,
T₉ = a + (19-1)d
⇒ 39 = a + 18d ...(ii)
Subtracting equation (ii) by (i) we get,
48 = 12d
or, d = 48/12
⇒ d = 4
Thus, the required common difference is 4.
To learn more about sequence:
https://brainly.com/question/24162737
#SPJ2
What is the most profound problem in maths?
No answer needed, just take the points.
Answer:
SWEEEET!!
Step-by-step explanation:
:D
Answer:thx so much I needed them
Step-by-step explanation:
Determine whether the function g(x)= -x +2 is increasing or decreasing.
Answer:
its decreasing :) the person above me is correcto
What is the value of b in the triangle shown below?
a.-4in
b.4in
c.+4in
d.no solution
What are the solutions to the equations?
Answer:
x^2=399+1
x^2=400
x=√400
x=+/-20
A. x=20 and x=-20
Answer:
x = 20 and x = -20
Step-by-step explanation:
I am a math expert. 20^2 and -20^2 are both 400 - 1 = 399.
Everything else is 397 or a wayyy higher number
Trust me the answer is x = 20 and x = -20
If im right, give me brainliest
Sasha made cups of lemonade to sell at her stand. She sold 9 cups of lemonade in the first hour. For each hour after that, she sold five cups. She was outside for a total of 4 hours. How many cups of lemonade did she sell?
Answer:
first hour=9 cups
the next three hours,five cups each=15 cups
15+9=24 cups
i need help with this pls
Answer:
8x + 12 + 2x + 28 = 180
x = 14
Step-by-step explanation:
8x + 12 + 2x + 28 = 180
8x + 2x + 12 + 28 = 180
10x + 40 = 180
-40 -40
10x = 140
10 10
x = 14
any more help just ask :)
A bowl holds 4 cups of rice if I use a measuring cup that holds 1/8 of a cup how many times will I need to fill the measuring cup in order to fill the entire bowl
Answer:
32 times
Step-by-step explanation:
It's SUPER easy, all you have to do is take that 1/8 and make it into a regular 8. Now all you do is multiply 4 by 8.
I know there's probably some way the teachers taught that's so much harder then it already is, but if you try to look at it from an easier perspective, you'll be a pro!
Try some more so you'll slowly start getting better at them! Anyway I hope this helped!!
Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.
2008
2009
2010
–5.8
4.4
StartFraction 37 Over 10 EndFraction
2011
2012
2013
3.6
4 and one-third
Negative 5 and three-fourths
Which comparison is true? Use the number line to help you.
A number line going from negative 6 to positive 6 in increments of 1.
Negative 5.8 > Negative 5 and three-fourths
3.6 4.4
Answer: The answer is B, 3.6 < 37/10
Answer: I believe that your answer is B.
37/10 is greater than 3.6.
I hope I helped you!
A lion can run 18 mph faster than a giraffe. If a lion can run 50 mph how fast can the giraffe run?
Answer:
32
Step-by-step explanation:
its just 50 minus 18 and dont forget to borrow
Answer:
32mph
Step-by-step explanation:
So I think all you have to do is subtract 18 from 50 so 50 - 18 = 32mph
So in conclusion the giraffe can run 32mph if a lion is running at 50mph
Please help i was crying :(
Also there is another one
“Subtract. Write Your answer in simplest form” which is: 6 3/4 - 2 3/20
Answer:
is it 4 3/5 it might be
Step-by-step explanation:
Boden's account has a principal of $700 and a simple
interest rate of 3.7%. Complete the number line. How much
money will be in the account after 4 years, assuming Boden
does not add or take out any money?
Answer:
823.2
Step-by-step explanation:
Interest = 700 × 4.4/100 × 4 = 123.2
Balance = Principle + interest
700 + 123.2 = 823.2
Answer - 823.2
Hope this helps!!!
Can you help me with this please. I will mark brainlist
Answer:
E is [tex]\frac{1}{2\\}[/tex] F is 6[tex]\frac{1}{4}[/tex] and G is [tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
Acellus help slope intercept
Greetings.
The answer is y = 2x + 7.
Explanation:
If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)
We can also find the slope by calculating m-value.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] ---> Rise Over Run
But how are we gonna calculate if we don't have any two given ordered pairs?
The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.
The graph passes through (-3,1) and (-2,3).
Then we can calculate the slope by using rise/run.
[tex]m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2[/tex]
Thus, the slope is m = 2.
However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.
From Linear Function - [tex]y=mx+b[/tex]
Where m = slope and b = y-intercept.
Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.
Which is (0,7), the y-intercept.
Then we substitute b = 7 as y-intercept.
Thus the answer is [tex]y=2x+7[/tex]