Answers
Yes.
Ab = cd and bc = ad
Using SAS postulate triangles formed by ABC = abd
Opposite sides are equal and each angle is 90 degrees so by definition it is a rectangle.
Related Questions
An employee at a shoe store has observed that taller customers have larger shoe sizes than customers who are shorter. She knows that shoe sizes are based on foot length, so she hypothesizes: Compared with shorter people, taller people have longer feet. Look for patterns in the data. Describe any patterns you find.
Answers
Answer:
hello some information related to your question is missing
answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
Step-by-step explanation:
From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .
7 Evaluate the expression xy - 3x when x = 4 and
y=5.
A. 2
B. 5
C. 8
D. 11
Answers
Answer:
Xy-3x
Putting the values of x and y into the expression,
We have 4(5)-3(4)
20-12
8
Evaluate the function rule below when x=-2
F(x)=1/4x
Answers
Answer:
= -1/2
Step-by-step explanation:
F=1/4(-2)
F=-1/4(2)
F=-1(2)/4
F=-2/4
F= -1/2
13. A glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by
12 inches. If the tank can hold a maximum of 3,960 cubic inches of water, how much glass
was used to construct the tank?
SA 2B+L
SA-alaw)+PH
37
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Answers
Answer:
Step-by-step explanation:
area of base = 22in×12in = 264 sq in
Height of tank = volume/(base area) = 3960/264 = 15 inches
Lateral area = 2(22 × 15) + 2(12 × 15) = 660+360=1020 sq in
Surface area = base area + lateral area= 264+1020=1284 sq in
1 + hk + j use h=-5, j = -6, and k = 6
Help me
Answers
9514 1404 393
Answer:
-35
Step-by-step explanation:
Put the values where the corresponding variables are and do the arithmetic.
1 + hk + j
= 1 + (-5)(6) +(-6)
= 1 -30 -6
= -35
Which graph shows the point R(0, 4)?
Answers
Answer:
Graph D
Step-by-step explanation:
Graph D shows (0,4) because the x coordinate is 0, and then the y coordinate is 4 so you move up 4.
The graph D shows the point R(0, 4).
Given are four graphs we need to determine which graph shows the point R(0, 4),
A point R(0, 4) is represented in a Cartesian coordinate system as a point located at x = 0 and y = 4.
The graph that shows this point is a vertical line passing through the y-axis at 4. It is a line parallel to the x-axis, intersecting it at y = 4 and extending infinitely in both directions.
Visually, the graph of the point R(0, 4) would be a single point on the y-axis at y = 4.
Hence the graph D shows the point R(0, 4).
Learn more about graphs click;
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what is 4 devided by 3/4
Answers
Answer:
5 1/3
Step-by-step explanation:
We make
4/1 divided by 4/3 = 5 1/3
For each question, decide whether or not it is a function. PLEASE HELP ASAP ALEKES ALGEBRA 2 MATH ILL GIVE BRAINLIEST
Answers
Your answers are right because the x's can not repeat
so 1.it is a function
2.it is a function
3.it is not a function bc "d" and "m" both repeat 2 times
4.it is not a function bc 2 repeats 2 times
Hope this helps
Have a great day/night
Feel free to ask any questions
12x + 2y = 6
A. solve for y
B. What is the slope and what is the y-intercept?
Answers
Answer:
y=3
B.Slope is -6 Y intercept is 0.5
Step-by-step explanation:
Ashley has 3/4 cups of sugar. She used 1/3 of the sugar she has to make holiday cookies for her family. How many cups of sugar did Ashley use to make the holiday cookies?
Answers
Select all the observations that are true about the scatter plot
A.Most players are between 60 and 70 inches tall.
B.Players scored between 40 and 80 points per game.
C.There is an outlier at about (72, 24).
D.There is a weak positive association between height and points scored.
Answers
Answer:
c, a, d
Step-by-step explanation:
I think?
What is the measure (in radians) of central angle 0 in the circle below? Enter an exact expression.
Answers
Answer:
[tex] \frac{\pi^{c} }{3} [/tex]
Step-by-step explanation:
Measure of the length of an arc of a circle is given as:
[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]
Could use some help pls.
Answers
Answer:
9 cans of soup and the 4 frozen dinners were purchased
Step-by-step explanation:
Let x represent the number of cans of soup purchased.
Let y represent the number of frozen dinners purchased.
Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that
x + y = 13
Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that
250x + 550y = 4450 - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
250(13 - y) + 550y = 4450
3250 - 250y + 550y = 4450
- 250y + 550y = 4450 - 3250
300y = 1200
y = 1200/300
y = 4
Substituting y = 4 into x = 13 - y, it becomes
x = 13 - 4 = 9
what is 5.3 x 5.3 x 5.3 x5.3 as a power?
Answers
The expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or [tex]{(5.3)}^4[/tex], which evaluates to 6241.03.which means
To express this expression as a power, we need to determine the exponent that represents the number of times 5.3 is multiplied by itself. In this case, 5.3 appears four times in the multiplication.
So, the expression can be rewritten as 5.3 raised to the power of 4, or [tex]{(5.3)}^4[/tex].
The formula for expressing a number multiplied by itself n times as a power is: [tex]a^n[/tex]
In this case, a is 5.3 and n is 4.
To evaluate the expression, we can simply multiply 5.3 by itself four times:
5.3 x 5.3 x 5.3 x 5.3 = 6241.03
Therefore, 5.3 x 5.3 x 5.3 x 5.3 can be expressed as [tex]{(5.3)}^4[/tex], which is equal to 6241.03.
In summary, the expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or [tex]{(5.3)}^4[/tex], which evaluates to 6241.03.
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Please help me with this thank you!
Answers
Answer:
y = -x + 1
Step-by-step explanation:
y=mx+b
m:slope= rise/run, the line goes down 1 and over 1 so it would be -1/1 which is -1
b:y-intercept: the line crosses the y-axis at 1
plug in m=-1 and b=1 into y=mx+b
y=-1x+1
y=-x+1
Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times the inverse tangent of the quantity x squared divided by 4, plus C one fourth times the natural log of x to the 4th power plus 16, plus C one fourth times the inverse tangent of the quantity x squared divided by 4, plus C the product of negative one fourth and 1 over the quantity squared of x squared plus 16, plus C
Answers
Answer:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]
Required
Solve
Let
[tex]u = \frac{x^2}{4}[/tex]
Differentiate
[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]
[tex]du = 2 * \frac{x}{4}\ dx[/tex]
[tex]du = \frac{x}{2}\ dx[/tex]
Make dx the subject
[tex]dx = \frac{2}{x}\ du[/tex]
The given integral becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2= 4u[/tex]
Square both sides
[tex]x^4= (4u)^2[/tex]
[tex]x^4= 16u^2[/tex]
Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]
Simplify
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
In standard integration
[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]
So, the expression becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
PLEASE ASNWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
Answers
Answer. 32
Step-by-step explanation:
20+4+2+6=32
071 point
Dashboard
What is the measure of anglex
Courses
X
Calendar
34
Inbox
34
History
73
63
Help
57
Answers
Answer:
B. 73°
Step-by-step explanation:
The triangle is an isosceles triangle as it has 2 equal sides. This implies that the angles opposite to the two equal sides are of the same measure.
Therefore,
x = (180 - 34) ÷ 2
x = 146 ÷ 2
x = 73°
Please help I’m being timed.
Answers
Answer:
da answerr is six
if DF is 6 and all sides are equal in length the EF side is going to be 6 as well
Help Please!!! Find the slope.
Answers
Answer:
(-1,-1),(1,-4)
Step-by-step explanation:
it is the wright answer
NEED HELP WITH GEOMETRY
Answers
Answer:
m<1 = 76°
m<2 = 76°
m<3 = 49°
Step-by-step explanation:
✔️m<1 = 180 - (47 + 57) (sum of triangle)
m<1 = 76°
✔️m<2 = m<1 (vertical angles are congruent)
m<2 = 76° (substitution)
✔️m<3 = 180 - (55 + m<2) (sum of triangle)
m<3 = 180 - (55 + 76) (substitution)
m<3 = 49°
Find a. Round to the nearest tenth.
Answers
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
__
We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
Which of the points shown below are on the line given by the equation y = 4x?
Check all that appply.
Answers
Answer:
The answer would be (1,4)
Step-by-step explanation:
Let wong has a box of cereal that states that there are 81 calories in 3/4 cup of serving. What is the rate of calories per cup
Answers
Answer:
108 calories per cup
Step-by-step explanation:
Suppose a certain city has 50 licensed restaurants, of which 15 currently have at least one serious health code violation and the other 35 have no serious violations. There are five inspectors, each of whom will inspect one restaurant during the coming week. The name of each restaurant is written on a different slip of paper, and after the slips ate thoroughly mixed, each inspector in turn draws one of the slips without replacement. Label the jth trial as a success if the ith restaurant selected has no serious violations. A certain state has 500,000 licensed drivers, of whom 400,000 are insured. A sample of 10 drivers chosen without replacement. The ith trial is labeled if the ith driver chosen is insured. Although this situation would seem identical to the example above, the important difference is that the size of the population being sampled is very large relative to the sample size. In this case
P(S on 2 S on 1) = 399, 999/499, 999 = _________
(rounded to five decimal places.)
and
P(S on 10 S on first 9) = 399, 991/499, 991 = ___________
(rounded to six decimal places) = 0.80000
These calculations suggest that although the trials are not exactly independent, the conditional probabilities differ so slightly from one another that for practical purposes the trials can be regarded as with constant P(s) =_______ (rounded to one decimal place). Thus, to a very good approximation, the experiment is with n = 10 and p = 0.8.
Answers
Answer:
P(S on 2 S on 1) = 0.80000
P(S on 10 S on first 9) = 0.799996
P(S) = 0.8
Step-by-step explanation:
Given :
P(S on 2 S on 1)
= 399, 999/499, 999
= 0.80000
P(S on 10 S on first 9)
= 399, 991/499, 991
= 0.799996
P(S) = 0.8
Jerome is a co- owner of a small company and received 1/3 of the company's profits this year what were the company's overall profits if Jerome made 150,000?
Answers
Need help with this please having a hard time with it
Answers
Answer:
6.28 m^2
Step-by-step explanation:
4^2 x Pi=area of full circle
45 degree segment =1/8 of a full circle
16x3.14159=50.27 m^2 area of full circle
50.27/8=6.28 m^2 area of 1/8 circle
Answer:
90 square meters
Step-by-step explanation:
Formula for sector area--- SECTOR AREA=r^2 a/2
*Multiply the central angle by the radius squared- 45×4=180squred meter
*then, Divide by 2- 180÷2=90
Bill- Subtotal: $34.95 Tip: 15% (Find 15% of 34.95)
Answers
Answer:
I believe that 15% of 34.95 would be 5.24
Step-by-step explanation:
A computer tracking chip company wants to test their chips. They marked 32 birds by attaching computer chips to their legs. Later on, they catch 440 birds, 10 of which are marked with computer chips attached to them. They provided this data to animal welfare authorities to estimate the bird population. What is the best estimate of the bird population?
Answers
32/p=10/440
10p=14080
p=1408
5th grade math. Correct answer will be marked brainliest.
Answers
Answer:
1. 44.3
2. 4.43
3. 0.443
Step-by-step explanation:
Answer:
the 2nt one is also 4.43, and the third one is 2.215 i think
Step-by-step explanation: