Answer/Step-by-step explanation:
The rhombus when split into two triangles will give us two equilateral triangles that are congruent to each other.
Therefore:
The two bases of both triangles will have equal angle measures of 4x + 5 each and a third angle measure of 8x - 6.
✅Formula to find the value of x:
(8x - 6) + 2(4x + 5) = 180° (sum of triangle)
8x - 6 + 8x + 10 = 180
8x + 8x - 6 + 10 = 180
16x + 4 = 180
16x + 4 - 4 = 180 - 4
16x = 176
16x/16 = 176/16
x = 11
The following tables represent a function and its inverse.
Compare the functions.
h(x)
Which statements describe the functions? Check all
that apply.
х
-4
-2
0
N
4
y
-6
1
6
11
16
The domain of h-1(x) is the range of h(x).
The range of h-l(x) is the range of h(x).
The x-intercept of h-1(x) is the x-intercept of h(x).
The x-coordinate of the x-intercept of h-1(x) is the y-
coordinate of the y-intercept of h(x).
The maximum of h(x) is the largest x-value of
h-4(x).
х
1
6.
11
16
y
-4
-2
0
2
4.
Intro
Answer:
These are all that apply
- The domain of h-1(x) is the rand of h(x)
- The x-coordinate of the x-intercept of h-1(x) is the y- coordinate of the y-intercept of h(x).
- The maximum of h(x) is the largest x-value of h-4(x).
Step-by-step explanation:
The correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given are the functions. It is asked to identify the statements that describe these functions.
The given functions are h(x) and its inverse h⁻¹(x). For the given functions, as we can see in the table, the following statements are true -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).Therefore, the correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
2x+20-(5X3)=30. Solve for x.
Answer:
25/2
Step-by-step explanation:
Use order of operations to solve in the bracket.
2x + 20 - ( 5X3) = 30
2x + 20 - (15) = 30
Now open the brackets.
2x + 20 - 15 = 30
2x + 5 = 30
Subtract both sides by 5
2x = 25
Divide both sides by 2.
25/2
help. me. plz. i need it.
Find the surface area of the solid figure.
10 ft
10 ft
6 ft
15 ft
16 ft
ft
ft
Perimeter of base =
Height =
Base area =
The surface area is
ft2
square feet.
Answer:
Step-by-step explanation:
Perimeter of the triangular base = 10 + 10 + 16
= 36 ft
Height of the prism = 15 ft
Base area = Area of the triangle
= [tex]\frac{1}{2}(\text{Base})(\text{Height}})[/tex]
= [tex]\frac{1}{2}(16)(6)[/tex]
= 48 square ft
Surface area of the triangular prism = 2(base area) + (perimeter × height)
= 2(48) + 36(15)
= 96 + 540
= 636 square ft
The storage space of a truck is in the shape of a rectangular prism. It is 9 ft wide, 20 ft long, and 6 feet tall. How many cubic feet of cargo can the truck hold?
PLZ HELP!!! I NEED THIS ANSWER FAST!
thank you :)
Answer:
B
Step-by-step explanation:
Branliest plss. It will make my day :-)
A Bar of steel is 340 cm long Issa cuts two 55cm lengths of the bar He then cuts the rest into as many 40cm lengths as possible Work out how many 40cm lengths of bar Issa cut
Answer:
7.125
Step-by-step explanation:
PLEASE HELP DUE TODAYYYY ..100 PTS!
Answer:
i got 65.8/9. i hope this is correct , if not, i wish you the besy<3
Answer:
62.7
Step-by-step explanation:
What is the reciprocal of 3?
Enter your answer in the space below, using a slash mark ( / ) as a fraction bar when needed.
Garth has a collection of postcards from
around the world, and he has organized
them in albums. Each album holds
480 postcards. His collection already
fills two albums and one-fourth of
another album. How many postcards
does Garth have?
Answer:
1080
Step-by-step explanation:
480 + 480 + 1/4(480) = 1080
Answer:
1080 postcards
Step-by-step explanation:
WIth 2 full albums you take 480 and multiply it by 2 to get 960 and 1/4 of 480 is 120 because we divide 480 by 4 to get that and if we add 120 to 960 we get 1080.
Help Me!!!I will failll please they never taught me this!!!!
Answer:
the answer x algorithm happy fail day
Answer:
I think it's 0,36 try it you'll never fail this
Yvette is making a large cheese platter for a party. She uses 3.6 pounds of yellow cheese and 1.5 pounds of white cheese.
How many pounds of yellow cheese does she use per pound of white cheese?
O A 0.4 pounds
O B. 2.1 pounds
O c. 2.4 pounds
O D. 3.1 pounds
O E. 5.1 pounds
Answer:
B
Step-by-step explanation:
Assume that when adults with smartphones are randomly selected, 64% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)
Answer:
[tex]P(3) = 0.3397[/tex]
Step-by-step explanation:
The given details represent binomial distribution. So, we have:
[tex]n = 5[/tex]
[tex]p = 64\% = 0.64[/tex]
Required
Calculate P(3)
This is calculated using:
[tex]P(x) = ^nC_x * p^x * (1- p)^{n-x}[/tex]
This gives:
[tex]P(3) = ^5C_3 * 0.64^3 * (1- 0.64)^{5-3}[/tex]
[tex]P(3) = 10 * 0.64^3 * 0.36^2[/tex]
[tex]P(3) = 0.3397[/tex]
(2,2) and (2,-2) slope?
Answer:
Undefined.
Step-by-step explanation:
Slope is equal to the change in y over the change is x, or rise over run.
[tex]m=\frac{change in y }{ change in x}[/tex]
The change in x is equal to the difference in x-coordinates, and the chnage in y is equal to the difference in y-coordinates.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m= \frac{-2-(2)}{2-(2)}[/tex]
Simplify it. since -2-(2) and 2-(2) = nothing, the Slope is Undefined.
Hence, the slope is Undefined.
Answer:
Undefined
Step-by-step explanation:
Hope this helps
solve the following proportion 3/((x-2))=5/15
Answer:
x = 11
Step-by-step explanation:
Given
[tex]\frac{3}{x-2}[/tex] = [tex]\frac{5}{15}[/tex] ( cross- multiply )
5(x - 2) = 45 ( divide both sides by 5 )
x - 2 = 9 ( add 2 to both sides )
x = 11
please help me i really need help please
Answer:
2 = 18, 3 = 73
Step-by-step explanation:
2) 22+140= 162
180-162= 18
x=18
(180 ‘cuz that’s the full angle of a triangle)
——————————————————————
3) the right angle is a 90 degree angle so
17+90=107
180-107=73
x=73
3^2x+1 +9 = 3^x+3 +3^3
Answer:
-4
Step-by-step explanation:
Since they all have the same base;
2x+1+9=x+3+32x-x=3+3-1-9x=6-1-9x=6-10x=-4Help please !! due in 1 hour
helpp me plzzzzzz plzz
Answer:
I would help but I don’t know what all of those symbols are.
what is another name for L4
Answer:
Answer H
Step-by-step explanation:
helpp me plzzzzzzzzz plz
Answer:
A
Step-by-step explanation:
You buy halibut at $25 per pound.one portion of seared halibut requires 6 ounces of halibut.how much does the halibut for one portion cost ?
Answer:
$9.38
Step-by-step explanation:
halibut is measured in pounds and a portion is measured in ounces
in order to determine the cost, the two units have to be comparable. So, ounces have to be converted to pounds
1 ounce = 0.0625 pounds
6 ounces = 0.0625 x 6 = 0.375 pounds
0.375 pounds would cost 0.375 pounds x 25 pounds = $9.38
1) In your own words, explain when (-3)n is positive and when it is negative.
help plz . i need to get these study questions right
Answer:
its the one you have selected
Step-by-step explanation:
you have to ask something about your assignment
and its the one you have selected
have a nice day!
Your soccer coach requires you to run 10
laps. You run 12 laps. What percent of the
required laps did you run?
and maybe this one- hehe-
I need this done. Help please!
Answer:
yes
Step-by-step explanation:
6x - x + 3
x = 2
6 x 2 - 2 + 3
result = 13
x = 5
x 5 - 5 + 3
result = 28
x = 9
6 x 9 - 9 + 3
result = 48
4 + 5x - 1
x = 2
4 + 5 x 2 - 1
result = 13
x = 5
4 + 5 x 5 - 1
result = 28
x = 9
4 + 5 x 9 - 1
result = 48
LMNP is rotated 90 degrees around the origin. What are the coordinates of L'?
Answer:
D) L’ (1,0)
Step-by-step explanation:
D) L’ (1,0)
Answer:
d
Step-by-step explanation:
A - P - 3 - X
Plz help BRAINLIEST
Which situation most likely cannot be represented by a linear function?
Anna gets paid $10 per hour.
Briar gets paid $100 for the day.
Constance gets paid whatever her Dad feels like giving her for that day, and this is partially based on how long she works.
Danica gets paid $20 for the day, plus $7 per hour.
LeBron James buys a basketball for $20 and a 3-pack of socks for $5.50. He has a coupon for 20% off of his total purchases. Lebron has $15. Will he have enough money? If he has enough money, how much will he have left over? If he does not have enough money, how much more will he need? Explain your reasoning.
answer:
does not have enough money
They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
A. Calculate the volume of the rectangle ABCD
B. Calculate the circumference of the BCD triangle
C. Calculate the circumference of the BEC triangle
D. Calculate the circumference of the DEC triangle
Answer:
A. Area of ABCD = 240 [tex]cm^{2}[/tex]
B. 60 cm
C. 36 cm
D. 50 cm
Step-by-step explanation:
Given: AB = 24cm BC = 10cm and AE = 13cm.
A. Since a rectangle is a 2 dimensional figure, it has no volume but area.
So that,
the area of the rectangle ABCD = length x width
= 24 x 10
= 240 [tex]cm^{2}[/tex]
B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.
[tex]BD^{2}[/tex] = [tex]BC^{2}[/tex] + [tex]DC^{2}[/tex]
= [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
= 676
BD = [tex]\sqrt{676}[/tex]
= 26
BD = 26 cm
so that,
the circumference of BCD = 10 + 24 + 26
= 60 cm
C. To calculate the circumference of the BEC triangle,
AC = 26 cm, AE = 13 cm
CE = 26 - 13
= 13 cm
CE = 13 cm
The circumference of the BEC triangle = 13 + 13 + 10
= 36 cm
D. The circumference of the DEC triangle = 13 + 13 + 24
= 50 cm