Which statements are true about triangle XYZ? Select three options.
XY measures units.
YZ measures units.
ZX measures units.
XYZ is a right triangle.
XYZ is a scalene triangle.
Answers
First, second and fourth options are true about triangle XYZ.
XY measures [tex]\sqrt{26}[/tex] units.
YZ measures [tex]\sqrt{52}[/tex] units.
ZX measures [tex]\sqrt{26}[/tex] units.
XYZ is a right triangle.
What is right triangle?A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
Given X (-1, 5), Y (4, 4), Z (-2, 0)
Distance between two points D = [tex]\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1}) ^{2}}[/tex]
|XY| = [tex]\sqrt{(4-5)^{2} +(4+1)^{2} } =\sqrt{1^{2}+5^{2} } =\sqrt{26}[/tex]
|YZ| = [tex]\sqrt{(0-4)^{2} +(-2-4)^{2} } =\sqrt{4^{2}+6^{2} } =\sqrt{52}[/tex]
|XZ| = [tex]\sqrt{(0-5)^{2} +(-2+1)^{2} } =\sqrt{5^{2}+1^{2} } =\sqrt{26}[/tex]
[tex]|XY|^{2} +|XZ|^{2} =|YZ|^{2}[/tex]
So, XYZ is a right triangle.
So, the first, second and fourth options are correct.
Find out more information about right triangle here
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Answer: a and d
Step-by-step explanation:
edge
Related Questions
PLEASE HELP ITS MULTIPLE CHOICE i’ll mark brainliest too!!
Answers
Step-by-step explanation:
For the left end of the function, it moves up towards positive infinity.
For the right end of the function, it movea down towarda negative infinity.
Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)
Find the area of the triangle.
7 yd
24 yd
Answers
Answer:
A=84 square yards
Step-by-step explanation:
A=1/2bh
A=1/2(7x24)
A=1/2(168)
A=84
A = H*B/2 which is the formula in which is used to find the area of a triangle meaning base times height divided in half.
that would mean 24 times 7 is 168
and 168 divided by 2 is 84
Toni can carry up to 16 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 3 lb, and her books (b) weigh 3 lb each. How many books can she carry in her backpack?
Answers
Answer:
4 Books
Step-by-step explanation:
3+1 = 4
16 - 4 = 12
3x4 = 12
Buster needs to find x and y in the following system.
Equation A: - 8x + 14y = 10
Equation B: 4x + 3y = 25
Buster decided to use elimination to solve this system. Do you agree or disagree? Why
Answers
Answer:
U GO TO DHS
Step-by-step explanation:
Help please. Thank you.
Answers
Answer:
Look at m H it’s a right triangle 90°
Step-by-step explanation:
can u pls help me with this question
Answers
Answer:
If Clara gets 4 people in 10 phone calls, then she will obviously get 16 people, because there are 40 calls, with 4 people each 10 calls. Meanwhile, with Toby getting 3:8, he will get 15 people in total. 3:8 is equal to 15:40. Clara will have more people in 40 phone calls
Step-by-step explanation:
Determine the two ordered pair solutions of the equation y = 2x2 + 3x , given (0, ), and (-2, ).
Answers
Answer:
We conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.
Step-by-step explanation:
Given the expression
y = 2x² + 3x
Substituting x = 0
y = 2(0)² + 3(0)
y = 0+0
y = 0
so when x = 0, y = 0Thus, the ordered pair is: (0, 0)
Now, substituting x = -2
y = 2x² + 3x
y = 2(-2)² + 3(-2)
y = 8 - 6
y = 2
so when x = -2, y = 2Thus, the ordered pair is: (-2, 2)
Therefore, we conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.
Which of the following slopes of a line passes through points (2, 3) and (4.7)?
5
2
3
Answers
Answer: 2
Step-by-step explanation:
7-3/4-2 = 4/2 = 2
What is the zero of 4x - 3y = -24?
Answers
What is the value of the expression expression 9 – m. If m = –3, n = 8, and p = –1?
Answers
Answer:
Step-by-step explanation:
i do believe you didn't write the whole problem
if m=-3
9-m=9-(-3)=9+3=12
For the class field trip, the fourth grades at Jefferson Elementary School need to take buses. Each bus fits 55 students and there are 200 students in fourth grade. How many buses will they need?
3 buses
3 R20 buses
4 buses
None of these is correct.
Answers
They will need 4 buses.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
For the class field trip,
the fourth grades at Jefferson Elementary School need to take buses.
Each bus fits 55 students,
and there are 200 students in fourth grade.
The number of buses,
= 200/55
= 3.63
≈ 4.
Therefore, the need is for 4 buses.
To learn more about the division;
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Answer assp ill give points or brainly
Answers
Answer:
yo
Step-by-step explanation:
why need answer "assp"
In order to estimate the statistical difference between the average hourly wages of employees of two branches of a department store, two independent random samples were selected and the following statistics were calculated. Downtown Store North Mall Store Sample size 25 20 Sample mean $9 $8 Sample standard deviation $2 $1 A 95% interval estimate for the difference between the two population means is _____. Group of answer choices
Answers
Answer:
0.076 ; 1.924
Step-by-step explanation:
Given that :
_______Downtown Store ___ North Mall Store
n _______25 _______________20
Mean (m) _ $9 _______________$8
Sample sd_ $2 ______________$1
Standard Error (SE) = √[(s1²/n1) + (s2²/n2)]
√((2^2/25) + (1^2/20)) = 0.4582575
df = (25 + 20) - 2= 43
(m2 - m1) ± t(df = 43 , 0.025) * SE
(9 - 8) ± 2.01669 * 0.4583
(1 - 0.9242) ; (1 + 0.9242)
0.076 ; 1.924
any one here in LISD district
Answers
Answer:
I'm not, but free points?
Step-by-step explanation:
simplify x^2 + ax - 2a^2÷
3a^2 - 2ax - x^2?
Answers
Answer:
[tex] - \frac{x + 2a}{3a + x} [/tex]
Step-by-step explanation:
[tex] \frac{ {x + ax - 2 {a}}^{2} }{3a {}^{2} - 2ax - {x}^{2} } [/tex]
i) write ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2 {a}^{2} }{3 {a}^{2} - 2ax - x {}^{2} } [/tex]
ii) write -2ax as a difference
[tex] \frac{ {x}^{2} + 2ax - ax - 2a {}^{2} }{3a {}^{2} + ax - 3ax - x {}^{2} } [/tex]
iii) factor out x from the expression
[tex] \frac{x(x + 2a) - ax - 2 {a}^{2} }{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
iv) factor out -a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]
v) factor out a from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - 3ax - {x}^{2} } [/tex]
vi) factor out -x from the expression
[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - x(3a + x)} [/tex]
vii) factor out x+2a from the expression
[tex] \frac{(x + 2a)(x - a)}{a(3a + x) - x(3a + x)} [/tex]
viii) factor out 3a+x from the expression
[tex] \frac{(x + 2a)(x - a)}{(3a + x)(a - x)} [/tex]
ix) factor out the negative sign from the expression and rearrange the term
[tex] \frac{(x + 2a)( - ( - a - x))}{(3a + x)(a - x)} [/tex]
x) reduce the fraction a-x
[tex] \frac{(x + 2a)( - 1)}{(3a + x)} [/tex]
[tex] - \frac{x + 2a}{3a + x} [/tex]
A hiker starts hiking at the beginning of a trail at a point which is 20 feet below sea level. He hikes to a location on the trail that is 58 feet above sea level
and stops for lunch
What is the vertical distance between 200 feet below sea level and 580 feet above sea level?
Answers
Answer:
780 feet below sea level
Step-by-step explanation:
Please circle the zeros that do affect the value of the number and underline the
zeros that do not affect the value of the number.
Number: 600,345.0100
Answers
One of the Confederation's accomplishments was an arrangement for
{currency to be created}
{foreign troops}
{new states in the West}
{the military}
Answers
When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 10.
Answers
Answer:
1/7
Step-by-step explanation:
express following
Following numbers in the
Standard form: 3.091403
for you
Answers
Answer:
[tex]3.10* 10^0[/tex]
Step-by-step explanation:
Given
[tex]3.091403[/tex]
Required
Express in standard form
A number in standard form can be expressed as:
[tex]a * 10^b[/tex]
Where
[tex]1 \leq a \leq 10[/tex]
i.e.
a is between 1 and 10 (inclusive) and preferable, a should be in 2 decimal places
We have that:
[tex]3.091403[/tex] is between 1 and 10.
So, in standard form it is:
[tex]3.091403 * 10^0[/tex]
Approximate to 2 decimal places
[tex]3.10* 10^0[/tex]
Hence, the standard form of [tex]3.091403[/tex] is [tex]3.10* 10^0[/tex]
can somebody do this please
Answers
Answer:
12y - x - 28 = 0
Step-by-step explanation:
............
NEED HELP ASAP!!!! 15POINTS!
Factor k^2 - 81.
(k + 9)(k + 9)
(k - 9)(k - 9)
(k - 9)(k + 9)
Answers
Answer:
(k +9)(k - 9)
Step-by-step explanation:
a² - b² = (a + b)(a -b)
k² - 81 = k² - 9²
= (k +9)(k - 9)
Which of the following is a proper fraction?
a. 3
4 b. 4
3
c. 4
13 d. 5
Answers
Complete question is;
Which of the following is a proper fraction?
a. 3/4
b. 4/3
c. 4¾
d. 3¼
Answer:
a. ¾
Step-by-step explanation:
Proper fraction is one in which the numerator is less than the denominator while improper fraction is one whereby the numerator is greater than the denominator.
From this definition, the one that is proper fraction is only ¾.
Answer:
jllfdlkdjklfsdkldsjlkdsj
Step-by-step explanation:
this is payback
solve the system of linear equations. 3x+4y= -18 ; y= -4x -11
Answers
Answer:
(-2,-3)
Step-by-step explanation:
Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a
net income of 2 millions dollars. The management of Calculate develops a business plan for future growth
that projects an increase in net income of 0.5 million per year, while the management of Computate
develops a plan aimed at increasing its net income kshy15% each year.
a. Create standard mathematical model (table, graph, or equations) for the projected net income for the
next 10 years for both companies. Make sure that each model is accurate and labeled properly so that it
represents the situation
b. If both companies were able to meet their net income growth goals, which company would you choose
to invest in? Why?
c. When, if ever, would your projections suggest that the two companies have the same net income? How
did you find this? Will they ever have the same net income again?
Answers
9514 1404 393
Answer:
a) see the attached spreadsheet (table)
b) Calculate, for a 10-year horizon; Computate for a longer horizon.
c) Year 13; no
Step-by-step explanation:
a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.
__
b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.
The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.
__
c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.
The probability distribution for a
random variable x is given in the table.
Answers
Answer: 60%
Step-by-step explanation:
the probability is -2 is less than or equal to x and x is less than or equal to 2 so you would include .33, .16, and .10 in your problem
.33 + .16 + .11 = .6
.6 x 100 = 60
(if your using acellus don’t forget the % sign or it’ll mark it wrong!)
(-3, -9) and (4, -2)
Linear equation
Answers
Answer:
y = x - 6
Step-by-step explanation:
find slope
m = -2 - (-9) / 4 - (-3)
m = 7 / 7
m = 1
find y intercept using slope formula
y = mx + b and plug in any points given
-2 = 1(4) + b
b = - 6
put it together
y = x - 6
A researcher wants to estimate the mean commute time of residents in Westchester County. The researcher samples 40 commuters and find the mean commute time to be 25 minutes. Assume the population standard deviation for commute time is 12.5 minutes. Construct a 90% confidence interval for the mean commute time of residents in Westchester County. What is the Lower Bound of the confidence interval
Answers
Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
In Santana's last basketball game he made a total of 22 baskets. Santana
scored a combination of 2-point baskets and 3-point baskets for a total
of 54 points. How many 2-point baskets did Santana score?
Answers
Answer:
Santana scored 12 2-point baskets.
Step-by-step explanation:
Given that Santana converted 22 baskets in his last basketball game, totaling 54 points at the end of the game, and that in basketball the baskets are worth 2 and 3 points, to determine the number of baskets of each value that Santana converted, the following logic reasoning must be done:
If all the baskets were 2 points, the total of points made would have been 44 (22 x 2). Now, there are 10 more points, which are attributable to the 3-point baskets (that is, each extra point is a 3-point basket). Therefore, since 54 minus 44 equals 10, Santana made 10 3-point baskets and 12 2-point baskets.
This is verified through the following calculation:
(10 x 3) + (12 x 2) = X
30 + 24 = X
54 = X
An 18% commission on a video game sale is $63.81. How much is the video game?
Answers
Answer:
$11.49
Step-by-step explanation: