Answer:
x=5
∠ABD = 33
∠A = 115
Step-by-step explanation:
Once again here are the properties of a trapezoid:
Opposite angles are congruent
Opposite side lengths are congruent
And here is a property of a triangle:
the measure of the angles add up to equal 180
Given this information we need to find
x, ∠ABD and ∠A
First lets find x
Remember opposite side lengths are congruent
Segment AD and segment BC are opposite side lengths ( which are congruent)
That being said we create an equation to solve for x
2x = 10
step 1 divide each side by 2
2x/2=x
10/2=5
we're left with x = 5
Now lets find ∠A
∠C and ∠A are opposite angles
so ∠C≅∠A
Because ∠C = 115 ∠A also = 115
Finally lets find ∠ABD
because ∠BDC and ∠ABD are opposite angles we can find the measure of ∠BDC and get the value of ∠ABD
ΔBDC is a triangle formed within the parallelogram
That being said we can find the measure of ∠BDC using the triangle angle rule (stated previously)
That the measures of the angles in a triangle add up to equal 180
So we can find the missing angle (∠BDC) by subtracting the given angles ( which have a measure of 32 and 115) from 180
∠BDC = 180 - 32 - 115
180 - 32 - 115 = 33
so ∠BDC = 33
Meaning that ∠ABD also = 33
Mr. Duval paid $2,730 to rent a home for 6 months. Ms. Phee paid $5,496 to rent a home for 1 year. Which of the following is true?
Α. Ms. Phee paid $3 less per month than Mr. Duval.
B. Ms. Phee paid $3 more per month than Mr. Duval.
C. Mr. Duval paid $460 per month to rent the home.
D. Ms. Phee paid $455 per month to rent the home.
Answer:
B
$2.730 divided by 6 equals 455
$5,496 divided by 12 equals 458
458-455=3 so the answer is B
Stephanie puts 30 cubes in a box. The cubes are 1 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box?
Step-by-step explanation:
Dimensions of cube = 1 in × 1in .
No. of cubes in each layer = 15 .
No. of layers = 2 .
• Therefore the volume of one cube :-
[tex]\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}[/tex]
• Therefore the volume of one layer :-
[tex]\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3} [/tex]
• Therefore the volume of whole box :-
[tex]\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3} [/tex]
Therefore our required answer is 30 inch ³.
15x2=30 polegadas
bhyrhyhybtrhthvtt
One number is six less than a second number. Six times the first is 10 more than 4 times the second. Find the numbers
The value of the first number is
Answer:
1st number = 17
2nd number = 23
Step-by-step explanation:
x = 1st number
y = 2nd number
x = y - 6
6x = 10 + 4y
substitution method:
6(y - 6) = 10 + 4y
6y - 36 = 10 + 4y
2y - 36 = 10
2y = 46
y = 23
find 'x':
x = 23 - 6
x = 17
ANSWER THE QUESTION FOR BRAINLIEST
A 4-column table with 5 rows. The first column is labeled age (years) with entries 1, 2, 3, 4, 5. The second column is labeled given value with entries 15, 12, 9, 5, 4. The third column is labeled predicted with entries 14.8, 11.9, 9, 6.1, 3.2. The fourth column is labeled residual with entries 0.2, 0.1, 0, negative 1.1, 0.8. Which point would be on a residual plot of the data?
Answer:
3,0
Step-by-step explanation:
From the table we can say that the point which is residual plot of the data is (3,0).
What is residual plot?Residual plot shows the difference between observed and fitted values of the data. It is also known as null residual plot. In this random values in data is taken.
How to find point?We have been given the following table:
Age Value Predicted Residual
1 15 14.8 0.2
2 12 11.9 0.1
3 9 9 0
4 5 6.1 1.1
5 4 3.2 0.8
If we observe the table then we can find that the third row of fourth column contains 0 so the point which is residual plot of the data is (3,0).
Hence the point which contains the residual plot of the data is (3,0).
Learn more about two residual plot at https://brainly.com/question/16821224
#SPJ2
Which graph represents a direct variation?
I don't know all of them I guess since I can't see the graphs
Answer:
The graph of the direct variation equation is a straight line through the origin.
Step-by-step explanation:
find the volume of the rectangular prism. geometry hw plz help
Answer:
189 cm^3
Step-by-step explanation:
7 times 9 times 3=189
If 25% is 14, what is 100%?
Answer:
56
Step-by-step explanation:
25% = 14
Therefore,
25%*4 = 14*4
100% = 56
Fort his problem what is the correct answer?
Answer:
its b have a nice day
Step-by-step explanation:
Answer:
I think its D.
Step-by-step explanation:
In a triangle, the sum of the lengths of the
two shorter sides is 13 inches. What do
you know about the length of the third
side?
Answer:
The length of the third side is less than 13.
Step-by-step explanation:
In any given triangle the sum of any two sides is longer than the length of the third side.
This means that the length of the third side has to be less than 13, since that is the sum of the lengths of the two shorter sides.
Answer choices
40%
50%
What is the answer please help if you put a link I will report you I’m being dead freaking serious
Answer:
50%
Step-by-step explanation
add the total and divide 35 (flowers sold by 5th graders) over 70 (total number of flowers sold by all 3 grades)
PLEASE HELP ME, I NEED THIS NOW !!!!
Answer:
b
Step-by-step explanation:
TIMED WILL GIVE BRAINLEIST HELPPPPPPPPPPPP
Answer:
3.13π
Step-by-step explanation:
One plane is a quarter of a semi-circle, since the semi-circle is split into four equal parts. One quarter of a semicircle is one eighth of a circle, so find the are of a circle with diameter 10ft, and divide by 8:
Diameter is half the radius, so the radius is 5ft.
Area of a circle = π(radius)²
=5²π
=25π.
We're looking for an eigth of the circles area so: 25π/8 = 3.125π≈3.13π
Are 5x + 9 - 2x = 12 and 3x = 3 equivalent equations
Answer:
Yes
Step-by-step explanation:
If you simplify the 1st equation,
5x + 9 - 2x = 12
Add like terms
3x + 9 = 12
Subtract the 9 from both sides
3x = 3
It gives you the same equation as the other one
Answer:
yes they both equal 1
Step-by-step explanation:
Please I have a time limit of 45 mins
Answer:
The answer is 2.1 m squared
please help me
what is 11 1/4in 3 1/2in and 4 1/2in as whole numbers
Answer:
45/4 7/2 9/2
Step-by-step explanation:
I'm not sure if this is what you wanted so if its not sorry.
Irene is making bags of trail mix for hiking club. She will use 22 ounces of walnuts, 11.2 ounces of
almonds, and 12.3 ounces of cashews. This amount makes 25 bags of trail mix. How many
ounces are in each bag?
Please help :/ if i dont finish theses questions i will go to summer school & i dont wanna go there
Answer:
In each bag there will be 1.82 ounces of mixture.
Step-by-step explanation:
Since Irene is making bags of trail mix for hiking club, and she will use 22 ounces of walnuts, 11.2 ounces of almonds, and 12.3 ounces of cashews to make 25 bags of trail mix, to determine how many ounces are in each bag you must perform the following calculation:
(22 + 11.2 + 12.3) / 25 = X
45.5 / 25 = X
1.82 = X
Thus, in each bag there will be 1.82 ounces of mixture.
I need help soo yah cna you help ne?
Write a quadratic function f whose only zeros are -3 and -12
Answer:
Step-by-step explanation:
f(x) = (x + 3)(x + 12)
f(x) = x^2 + 3x + 12x + 36
f(x) = x^2 + 15x + 36
Can someone please help.
Answer:
26 degrees :)
Step-by-step explanation:
What can you say about the end behavior of the function f(x) = -4x6+6x2 -52 ?
A. F(x)is an even function so both ends of the graph go in the same
direction.
B. f(x) is an even function so both ends of the graph go in opposite
directions
O C. The leading coefficient is negative so the left end of the graph
goes up.
D. The leading coefficient is negative so the left end of the graph
goes down
Answer:
A. F(x)is an even function so both ends of the graph go in the same direction.
D. The leading coefficient is negative so the left end of the graph goes down.
Step-by-step explanation:
Even function:
For every value of x, f(x) = f(-x)
In this question:
We are given the following function:
[tex]f(x) = -4x^6 + 6x^2 - 52[/tex]
Testing if it is even:
[tex]f(1) = -4(1)^6 + 6(1)^2 - 52 = -4 + 6 - 52 = -50[/tex]
[tex]f(-1) = -4(-1)^6 + 6(-1)^2 - 52 = -4 + 6 - 52 = -50[/tex]
Since f(1) = f(-1), it is even.
Since it is even, both ends of the graph go in the same direction, so option A is correct, while option B is wrong.
Options C and D:
The leading coefficient, is -4(which multiplies x with the highest exponent). Since it is negative, it goes to negative infinity as x increases, that is, the left end goes down, and option D is correct while C is not.
A cereal box is 8.5 inches long, 3.5 inches wide, and 12 inches high.
What is the volume of the box?
Answer:
357 in³
Step-by-step explanation:
Sorry that the picture is rotated!
Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?
1.Each sandwich has one half pound of ham.
2. Each sandwich has 1 pound of ham.
3. Each sandwich has 2 pounds of ham.
4. Kevin has one half pound of ham left over.
statement 1 b/c 6/12 = 1/2
Brainliest for correct answer, asap please.
Answer:
Not a function
Not a function
Function
Step-by-step explanation:
The 1st one isn't as clear in the picture, but it looks like the ends of each line overlap the each other.
Hi help no link pls and ty
Answer:
Unit
Step-by-step explanation:
Write a function to describe the following scenario.
Emily plants a rosemary bush that starts at 5
centimeters in height and grows 3 centimeters
per year. How high will the rosemary be after a
certain number of years?
y = [?]x +
Answer:
y(x) = 3x + 5
Step-by-step explanation:
Since the rosemary grows by the same number of centimeters each year, this situation is modeled by a linear function.
Height starts at 5 meters and grows 3 centimeters per year.
This means that the height after a certain number of years, represented by x, is given by:
y(x) = 3x + 5
What is the surface area of a triangular prism
simplify the expression: 1-sin^2x/secx
Answer:
cos (x)
Step-by-step explanation:
63/4 divided by 41/2
Answer:
63/328
Step-by-step explanation:
Jackson wants to form a rectangular pen with 420 ft. of fencing. What should the dimensions be to provide the maximum area?