Answer:
If angle C is supplementary to angle D, then angle D is 60 degrees.
If angle C is corresponding, vertical, alternate interior, or alternate exterior to angle D, then angle D is 120 degrees.
Find the AAS postulate?
Answer:
<T ≅ <A
Step-by-step explanation:
The AAS Postulate states that two triangles are congruent of the two angles and a mon-included side of one triangle are congruent to the corresponding two angles and mon-included side of the other.
From the diagram given, we know that
Non-included side UC in ∆TUC is congruent to non-included side UC in ∆AUC.
Also, we know that <U in ∆TUC is congruent to <U in ∆AUC (vertical angles are congruent)
We are not given if <T is congruent to <A or not. Therefore, the additional information that is required to know that both triangles are congruent by the AAS Postulate would be:
<T ≅ <A
Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}
Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function
Step-by-step explanation:
to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!
range: x-axis (0,0)
domain: y-axis (0,0)
pair 1:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
pair 2:
all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs
pair 3:
all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs
pair 4:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
Answer:
Yes it can
Step-by-step explanation:
To check wether it's a right angle triangle we need to apply the Pythagoras theorem
h^2= a^2 +b^2
Hypotenuse is always the longest side so
5^2 = 3^2 + 4^2
This is correct, so the triangle is a right angle triangle
Answer from Gauthmath
Please help me anyone
Answer:
Step-by-step explanation:
y = x^2 + 4
x = 11 Put this value in wherever you see an x on the right.
y = 11^2 + 4
11^2 = 11 * 11 = 121
y = 121 + 4
y = 125
Select the expression that shows the distributive property applied to
13(2+9).
18 of 29 QUESTIONS
13(9+2)
13. 2+ 9
13. 2+ 13.9
13. 2+ 2.9
3rd option is correct
13 × 2 + 13 × 9
Which of the following statements is false ?
Answer:
The bases of an isosceles trapezoid are congruent is false.
Step-by-step explanation:
Let's analyse each option.
In a Rhombus, the diagonals are perpendicular at the point of intersection and bisect each other is true.
In isosceles trapezoid, the sides are congruent but not the bases. So, this incorrect!
The rectangle is an Equi-angular because all the angles are equal. So, this is true.
The base angles are congruent in isosceles trapezoid. So, this is true too.
May I sincerely get some help on this, please?
Answer:
B
Step-by-step explanation:
I have attached the explanation above. This is all I can do. Hopefully this will help
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are different, but the yintercepts are the same. How
many solutions would you expect for this system of equations?
O A. 1
O B. cannot be determined
O C. O
D. infinitely many
Answer:
Option A
Step-by-step explanation:
If the system of equations are,
y = m₁x + b
y = m₂x + b
Since, m₁ ≠ m₂ both the lines will be different (not parallel)
Therefore, the will be at least one solution of the given system of equations.
Option A will be the answer.
The area of a rectangle field is 4424 m squared. If the width of the field is 56 m, what is its length?
the length is 79, so really I hope this help
Jamie bought a new pair of jeans for $\$10$ because the price marked was $75\%$ off the original price. What was the original price of the pair of jeans?
Answer:
$40
Step-by-step explanation:
Let
Original price = x
Selling price = $10
Discount = 75%
Selling price = original price - (Discount * original price)
10 = x - 75% of x
10 = x - 0.75 * x
10 = x - 0.75x
10 = 0.25x
x = 10/0.25
x = 40
Original price = x = $40
Which division problem does the number line best illustrate
Answer:
10 ÷2 = 5
Step-by-step explanation:
10 is the final number
It is grouped in 2's
10 ÷2 = 5
A magician sold out 3 performances: 1 performance at a 498-seat theater and 2 performances at a 4,008-seat theater. She estimates that is around 4,500 seats in total. Is that a good estimate?
Answer:yes it is a good estimate
Step-by-step explanation: add 498 and 4008 then u will get a total relatively around 4,500
The estimate is not good.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that a magician sold out 3 performances.
1 performance at a 498-seat theater
2 performances at a 4,008-seat theater.
She estimates that is around 4,500 seats in total.
We need to check whether it is a good estimate.
The estimate is not good because when we add those two 498 and 4008 we get more than 4500. So it should be more than 4500.
She estimated very low
Hence, the estimate is not good.
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ5
In the following table of values, the first differences are
x y First Difference
-2 34
-1 27
0 20
1 13
2 6
Answer:
-7
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}[/tex]
Required
The first difference
To do this, we simply calculate the difference between the consecutive y-values.
i.e.
[tex]d = y_{n+1} - y_n[/tex]
So, we have:
[tex]d = y_2 - y_1 = 27 - 34 = -7[/tex]
[tex]d = y_3 - y_2 = 20 - 27 = -7[/tex]
[tex]d = y_4 - y_3 = 13 - 20 = -7[/tex]
[tex]d = y_5 - y_4 = 6-13 = -7[/tex]
Hence, the first differences are -7 (all through)
I could really use some help
Answer:
045
Step-by-step explanation:
North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.
Thus, northeast is 45 degrees. This image may help.
Classify the triangle.
O obtuse
O equiangular
Oright
O acute
Answer:
right
Step-by-step explanation:
The box in the lower corner means that the angle is equal to 90 degrees, which means the angle is a right angle
The triangle is a right triangle
Answer:
Right
Step-by-step explanation:
Types of triangle classifications
Acute: a triangle with all angle measures less than 90 degrees
Obtuse: a triangle with an angle of more than 90 degrees
Right: a triangle with a right angle.
Equilateral: a triangle with all equal angles ( more specifically all 60 degree angles )
Now let's look back at the question
Classify the type of triangle
Well looking at the triangle the triangle has a right angle ( indicated by the little square at the bottom left of the triangle)
A triangle with a right angle is known as a right triangle
which statements are true about function h?
Answer:
statement 1 is the true answer
The correct statements about function h(x) are:
1) As x approaches ∞, h(x) approaches ∞
2) The y-intercept is (0, 5)
3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]
4) As x approaches -∞, h(x) approaches -∞
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is exponential function?"A function of the form [tex]f(x)=a^x[/tex], where “x” is a variable and “a” is a constant."
What is domain?"It is a set of all possible input values for which a function is well defined."
What is range?"It is a set of all possible output values."
What is intercept?"It is a point at which the graph of the function intersects the X-axis or Y-axis."
For given question,
A function [tex]f(x)=x^{\frac{1}{3} }[/tex] is transformed to function [tex]h(x)=(2x)^{\frac{1}{3} }+5[/tex]
The domain of function h(x) is all real values.
To find the y-intercept, substitute x = 0
[tex]\Rightarrow h(0)=(2\times 0)^{\frac{1}{3} }+5\\\\ \Rightarrow h(0)=5[/tex]
So, the y-intercept of function h(x) is (0, 5)
To find the x-intercept, substitute y = 0 i.e., h(x) = 0
[tex]\Rightarrow 0=(2x)^{\frac{1}{3} }+5\\\\\Rightarrow (2x)^{\frac{1}{3} }=-5\\\\\Rightarrow 2x=-125\\\\\Rightarrow x=-62.5[/tex]
This means, the x-intercept of h(x) is (-62.5, 0)
From the graph of the function h(x), we can observe that as x approaches -∞ then h(x) approaches -∞ and as x approaches ∞ then h(x) approaches ∞
Therefore, the correct statements about function h(x) are:
1) As x approaches ∞, h(x) approaches ∞
2) The y-intercept is (0, 5)
3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]
4) As x approaches -∞, h(x) approaches -∞
Learn more about the function here:
https://brainly.com/question/13461298
#SPJ2
The ratio of boys to girls in a dass in a dass is 4.3 if There are 20 boys in the class. How many are girls!
fifteen girls are there
Answer:
15 girls
Step-by-step explanation:
It helps when you stack the ratio and # of ppl, so:
4:3
20:x
How do you get from 4 to 20? You multiply 5.
Now do that to the other side, you get 15.
Hope this is helpful ^^
Find the volume of a sphere with a diameter of 17.2 cm. Use 3.14 for it Round your answer to the nearest
tenth
Answer:
2663.0 cm³ (3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3}\pi {r}^{3} }[/tex]
Radius= diameter ÷2
Radius of sphere
= 17.2 ÷2
= 8.6 cm
Volume of sphere
[tex] = \frac{4}{3} (3.14)(8.6)^{3} [/tex]
= 2663.0 cm³ (3 s.f.)
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic? Need help!!
Answer:
$0.25
Step-by-step explanation:
Let's represent the comics by assigning it the letter C.
20C = $5.00
C = $5.00/20
= $0.25
We can confirm this by using the example where he uses 30 comics.
30C = $7.50
C = $7.50/30
= $0.25.
Therefore each comic costs $0.25
How to change the decimal 4.5 into a fraction
4.5
= 4.5/1
= 4.5/1.0
= 45/10 [Shifting the decimal to right]
= 9/2 [Reducing to the simplest form]
So, the answer is 9/2.
Which numbers belong to the solution set of the inequality?
6x < 48
A. 1,3,5,8
B. 2,4,5,7
C. 7,9,13,16
D. 9, 12, 14, 20
Answer:
B. 2, 4, 5, 7
Step-by-step explanation:
6x<48
Divide by 6 on both sides:
x < 8 (excluding 8)
You can test values greater than 8, and if it yields false, then try different numbers.
Hope this helps!
1 and 2 are vertical angles. If the
measure of 22 is 105°, find the measure of
{(2,-3),(3,-1),(2,3),(4,6),(6,6)}
Are the ordered pairs a function or not?
Answer:
Its a domain
Step-by-step explanation:
Domain:{2,3,4,6}
What is the missing justification?
transitive property
reflexive property
symmetric property
substitution property
Answer:
Transitive property
Step-by-step explanation:
Given
See attachment
Required
The missing property?
In step 1, we have:
[tex]\angle A \cong \angle B,\ \angle C \cong \angle B[/tex]
Transitive property states that:
If [tex]a = b[/tex] and [tex]b = c[/tex]
Then [tex]a = c[/tex]
Similarly:
If [tex]\angle A \cong \angle B[/tex] and [tex]\angle C \cong \angle B[/tex]
Then [tex]\angle A \cong \angle C[/tex] --- step 3
Hence, we can conclude that the transitive property is the missing justification
(5,8) and (x, 12) slope is -2, find x
PLEASE HELP ASAP
help which one is the correct one
Answer:
B.) x^12
Step-by-step explanation:
You don't multiply the exponents when multiplying x^7 × x^5, you add them.
If we add the exponents, we get x^12.
Hope this helps!
If there is something wrong, just let me know.
Suppose you have D12000 to save . You have to save some amount at 10% and the rest at 15% how much should be saved at each rate to yield 12% on the total amount saved
Answer:
$7200 at 10%
$4800 at 15%
Step-by-step explanation:
Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Eric’s account. [Type your answer as a number.]
Answer:
Eric 80
Step-by-step explanation:
Take 4+3 = 7
140 /7 = 20
There is 20 in each block
Eric gets 4 of the blocks so 4*20 = 80
Shiloh gets 3 of the blocks 3*20 = 60
Answer:
80
Step-by-step explanation:
4 : 3
4x + 3x = 140
7x = 140
x =20
4*20 = eric's amount
= 80
Instructions: Find the missing side of the triangle.
48
50
Answer:
x = 14
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
48 ^2 + x^2 = 50^2
2304+x^2=2500
x^2 = 2500-2304
x^2 =196
Taking the square root of each side
sqrt(x^2) = sqrt(196)
x = 14
Answer:
14
Step-by-step explanation:
Use A^2+B^2=C^2
A=48
C=50
So B=sqrt(C^2-A^2)
B=sqrt(50^2-48^2)
B=sqrt(2500-2304)
B=sqrt(196)
B=14
Solve the system by substitution
y= 5x− 22
y= 4x− 17
Answer:
x=5, y=3
Step-by-step explanation:
