Answers
Answer:
See below for answers
Step-by-step explanation:
1st Problem:
Because the figure is a triangle, it's interior angles will add up to 180 always. Since it's a right triangle, we know one of the angles is 90, but we'll need to set up an equation to solve for x.
90+(2x-2)+(x+5)=180
2x-2+x+5=90
3x+3=90
3x=87
x=29
Therefore, B) 29, is the correct answer
2nd Problem:
Given side lengths of a, b, and c, if a+b<c, then it's a triangle. Since 8+8 is not less than 16, the sides do not make a triangle. The hypotenuse, c, must always be the longest length.
Therefore, A) Not a triangle, is the correct answer
3rd Problem:
To find angle x, we need the last interior angle of the triangle. Since the interior angles of a triangle add up to 180, we once again set up an equation to find the missing interior angle:
21+34+y=180
55+y=180
y=125
Since the missing interior angle is 125 degrees, it is supplementary to angle x, where supplementary angles add up to 180 degrees as well. So we would subtract 125 from 180 to get x. 180-125=55, so angle x is 55 degrees. Therefore, C) 55, is the correct answer.
4th Problem:
Again, use the Interior Angle Theorem to get x:
58+47+x=180
105+x=180
x=75
Therefore, A) 75, is the correct answer
5th Problem:
3,4,5 is a Pythagorean Triple, so it is a right triangle as 3^2+4^2=5^2. It is also scalene because none of the sides are equal to each other.
Therefore, B) Yes, scalene, is the correct answer
Related Questions
PLEASE HELP SHOULD BE EASY!!!!!
Answers
Answer:
it's A
Step-by-step explanation:
hope this helps u with whatever you are doing!
Answer:
1.
Step-by-step explanation:
I just know.
You are a landscaper, and you are designing a fence to enclose part of a yard. The section to be enclosed is rectangular and has a width of 21 feet and a length of 38 feet. What length of fence, in feet, will you need to enclose this part of the yard? 59 60 118 120 798
Answers
Answer:
If you draw this out, you can see that total fence equation will be:
2L + 4W = 1200
Simplify, divide by 2
L + 2W = 600
L = (600-2W)
:
Area;
A = L*W
Substitute (600-2W) for L:
A = (600-2W)*W
A = -2W^2 + 600W; a quadratic equation
:
The dimension that will produce the greatest area will be the "axis of symmetry
which is: x = %28-b%29%2F%282a%29
:
In this equation a=-2, b=600
W = %28-600%29%2F%282%2A-2%29
W = %28-600%29%2F%28-4%29
W = +150 ft is the width
:
Find the length
L = 600 - 2(150)
L = 300 ft is the length
:
We can say the a field 300 by 150 gives he greatest area
:
This illustrated on a graph where y axis is the area and x axis is the width:
Step-by-step explanation:
Answer:
798
Step-by-step explanation:
21x38=798
What is the slope of the line that passes through the points (-5, 0) and (7, 8) ? Write your answer in simplest form
Answers
Answer
two-thirds
Step-by-step explanation:
8 over 1 2simplified is 2 over 3
What decimal is equivalent to 5/6?
Look at the picture.
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
B. 8.3 with the bar on the 3
Step-by-step explanation:
B because the decimal of 5/6 is 8.3333333 and so on to represent the repeating and endless 3 put a bar on the 3.
If x=4 y=-3 and z =5 find the value of 5y +2x-z
Answers
All you have to do is substitute the variables for their values and solve.
Hope this helps!
Answer:-12
Step-by-step explanation:
So if the equation is 5y+2x-z and the substitutions are x=4 y=-3 z=5 , all you have to do is replace each variable with its given numbers. Like so
5(-3)+2(4)-5
Now what you have to do is simplify
Negative times a positive is a negative
Negative times a negative is a positive
Positive times a positive is a positive
So....
-15+8-5
-20+8
-12
This is a simple substitution problem. Remember the basics of negatives and positives! Than you will be just fine! :D
Need help! only have today till I turn in!
Answers
Answer:
yes
Step-by-step explanation:
= 0.5
In that case you now know. The answer to the first blank (coefficient of x)
To find the y intercept (the second blank), which I will call c, you can use either pair of the coordinates and substitute them in the equation together with the gradient you found previously.
If you choose to sub in (0,6) and since gradient=0.5,
Then: 6=0.5(0) + c
therefore, c=6
Likewise, if you choose to sub in (8,10)
Then: 10=0.5(8) + c
Therefore, c also equals to 6
So in conclusion the gradient of the slop is 0.5 and the y intercept is 6
The linear function will be: y=0.5x + 6
There are 4 green gumballs, 3 blue gumballs, and 6 red gumballs. What is the probability of getting a red gumball
ANSWER NEEDED ASAP
Answers
Answer:
6/13
Step-by-step explanation:
b/c it is 6 wanted amount out of 13 total amount
gil borrows $8000 for college expenses. he will pay a total of $2280 back in interest after 6 years. what was his interest rate
Answers
Answer:
R = 41.8129%/year
Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/6)((8000/2280) - 1) = 0.41812865
r = 0.41812865
Converting r decimal to R a percentage
R = 0.41812865 * 100 = 41.8129%/year
The interest rate required to get a total amount, principal plus interest, of $8,000.00 from simple interest on a principal of $2,280.00 over 6 years is 41.8129% per year.
Step-by-step explanation:
Answer:
I believe it is 4.75 %
Step-by-step explanation:
2,280 × 100 = 228,000
228,000 / 8,000 = 28.5
28.5/6 = 4.75 %
is 7.2 a rational number
Answers
Step-by-step explanation:
A decimal is a number that represents a fractional part of a whole. For example, the decimal 0.25 represents 25/100. Numbers with decimals are not integers because an integer is defined as a whole number with no fractional part.
If y = 45 when x = 180, what is the y when x= 90
Answers
Answer:
24.5
Step-by-step explanation:
Since 180 is double 90 divide 45 by 2 and you'll get 24.5
In ΔDEF, d = 9.8 cm, e = 9.2 cm and f=4.7 cm. Find the measure of ∠E to the nearest degree.
Answers
Answer: 69
Step-by-step explanation: Trust
There are 12 applicants for financial aid. The Scholarship allows four students to receive the money. How many different ways can these scholarships be awarded? The first scholarship is $1000, the second is $750, the third is $500, and the last is $250. Only place a numeric value as an answer.
Answers
Answer:
495 ways
Step-by-step explanation:
Given that:
Total number of applicants (n) = 12
Required number (r) = 4
Using the combination formula :
nCr = n! / (n-r)!r!
12C4 = 12! / (12 - 4)!4!
12C4 = 12! / 8!4!
12C4 = (12*11*10*9) / 4*3*2*1
12C4 = 11880 / 24
= 495 ways
how to find common denominator
Answers
Answer:
To make the denominators the same Multiply top and bottom of each fraction by the denominator of the other.
Step-by-step explanation:
PLEASE HELP ME ASAP THIS IS DUE IN LESS THEN A HOUR PLEASE
Figure D is in Quadrant II. It is reflected across the x-axis. Then figure D' is rotated 90° counterclockwise around the origin to form figure D". Then figure D" is translated 4 units to the left to form figure D'". Decide if each statement about the figures is true or false. Choose True or False for each statement. *
4 points
true False
Figure D'' is in Quadrant II
Figure D' is in Quadrant III
The x coordinates for vertices D''' are all negative
The y coordinates for vertices D'' are all positive
Figure D'' is in Quadrant II
Figure D' is in Quadrant III
The x coordinates for vertices D''' are all negative
The y coordinates for vertices D'' are all positive
This question requires one
Answers
Answer:
4
Step-by-step explanation:
because im smart
Samir took a total of 21 quizzes over the course of 3 weeks. After attending 6 weeks of school this quarter, how many quizzes will Samir have taken in total? Solve using unit rates.
Answers
3•2=6
21•2=42
FREE 100 POINT GIVEAWAY PLS READ DOWN BELOW TO ENTER(YOU CAN ENTER IN THE COMMENTS TOO)
I'm going to be doing two random question (you can only answer each once) and ill post the giveaway so you can get your points- if the answer box is full then u can answer in the comment section too this time you must get both question right;)
1. How many ounces are in a basic water bottle
2. Thinking of a letter H-N
Answers
Answer:
I think like 16.9 fluid ounces
K
Step-by-step explanation:
Answer:
<3
Step-by-step explanation:
What is the value of x?
-5x – 2 = -13
Answers
Answer:
2.20
Step-by-step explanation:
So add +2 both sides that cancels 2 and that makes it -11.00 now divide it by -5 and x is by itself
So when you divide it x=2.20
Hope that helps
What is the slope-intercept form of the equation of the line that passes through the point (-6,1), and is perpendicular to the graph of 2x + 3y = -5
Answers
Answer:
Y= -3/2x-8
Step-by-step explanation:
find the number of words with or without meaning , which can be made by using all the letters of word ganga
Answers
Answer:
There are total 5 letters , of which A occur two times and G occur 2 times
Therefore , The number of permutations starting with A is 4! i.e 24
Thus , 25th word will be start from G i.e GGAAN
By rearranging according to the dictionary , we get
The 26th word will be GGANA
Hence , the 26th word is GGANA
Answer:
30
Step-by-step explanation
total number of letters in the word, n = 5
out of which G and A repeats 2 times each
p1 = p2 = 2
according to the equation of number of permutations,
= [tex]\frac{n!}{p_{1}! p_{2}! }[/tex]
total number of words = 5!/ (2! x 2!)
= 30
HELP PLEASE :) * giving brainliest*
Solve the system of equation. Write the solution as a coordinate point
Answers
Answer:
(2,16)
Step-by-step explanation:
y=-x+18
y=8x
8x=-x+18
8x+x=9x
-x+x=0
9x=18
9x/9=x
18/9=2
x=2
y=8(2)
y=16
Answer:
(2,16)
Step-by-step explanation:
Step 1: Substitute -x+18 for y in y=8x:
-x+18=8x Add X to both sides
9x=18 Divide 9 by both sides
x=2
y=8(2)Plug in the new value for x(which is 2) into one of the equations
y=16
(2,16)
Hope this helped, good luck!
Find the missing part of the triangle.
Answers
5. What three consecutive integers have a sum of 21?
Answers
A scientists finds the bones of a dinosaur. What could help the scientists determine the approximate age of the dinosaur bones?
A. The weather conditions in the area of the bones.
B The index fossils in the area of the bones.
C The birds living in the area of the bones
D The kinds of trees living in the area of the bones.
Gibe brnliestttn ugly lol :V
Answers
Answer: B, the index fossils in the area of the bones.
(I do need 1 more brainliest to rank up, so if my answer is correct, that would be great, sorry if I sound rude.)
Henry is making a corn grits recipe that calls for 14 cup of corn grits for every 12 cup of water.
How much water will he need if he uses 1 1/2 cups of corn grits?
Answers
Answer:
Im not sure right now ill answer back when i know
Step-by-step explanation:
Answer:
3/2 cups
pls give brainliest
What is the correct factorization of:
x? - 11x + 18
Answers
9514 1404 393
Answer:
x² -11x +18 = (x -9)(x -2)
Step-by-step explanation:
The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.
18 = (-1)(-18) = (-2)(-9) = (-3)(-6)
The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...
x² -11x +18 = (x -9)(x -2)
3
What are the zeros or x-intercepts of the parabola?
A) (0, -1) and (0,5)
B (2,0) and (-9,0)
C (-1,0) and (5,0)
D (0,-5) and (-5,0)
Answers
Answer:
C
Step-by-step explanation:
x-intercepts , when y=0 are
(-1,0) and (5,0)
Answer:
C
Step-by-step explanation:
The zeros are also known as x-intercepts so it is the points on the x axis.
For x-intercepts the y is 0 so it is (-1,0) and (5,0)
hope this helped :)
The difference of the squares of two positive consecutive even integers is 84. Find the integers.
Answers
Answer:
The two integers are 20 and 22.
Step-by-step explanation:
Let x be the first integer.
[tex](x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20[/tex]
Applying the difference of squares, and solving the equation, it is found that the numbers are 20 and 22.
----------------------
The two consecutive even integers are: n and n + 2.The difference of the squares is given by:[tex]D_s = (n+2)^2 - n^2[/tex]
Expanding the difference:
[tex]D_s = n^2 + 4n + 4 - n^2[/tex]
[tex]D_s = 4n + 4[/tex]
----------------------
The difference is 84, thus:
[tex]D_s = 84[/tex]
Now, we solve for n.
[tex]4n + 4 = 84[/tex]
[tex]4n = 80[/tex]
[tex]n = \frac{80}{4}[/tex]
[tex]n = 20[/tex]
----------------------
Thus, the numbers are: [tex]n = 20[/tex] and [tex]n + 2 = 20 + 2 = 22[/tex]
A similar problem is given at https://brainly.com/question/5453470
may someone please tell me the answer
Answers
What is the area of this polygon on a coordinate plane?
20 square units
9 square units
3 square units
14 square units
Answers
Answer:
i need a picture or something to solve this so...
Step-by-step explanation:
What method can be used to prove the triangles below are congruent
Answers
Answer:
SSS?Step-by-step explanation:
I don't know why the answers don't offer this an option. However, the side that shares both triangles must be congruent to itself and the other highlighted congruent parts are sides, not angles. Therefore by my calculations, the answer has to be SSS, but this isn't a choice.
Please let me know if you need more help :)