Answer:
[tex]102^\circ[/tex]
Step-by-step explanation:
Given that:
[tex]\angle 5[/tex] is a supplement of [tex]\angle 6[/tex].
m[tex]\angle 5[/tex] = 78°
To find:
m[tex]\angle 6[/tex] = ?
Solution:
First of all, let us learn about the concept of an angle being a supplement of the other angle.
[tex]\angle B[/tex] is known as supplement of [tex]\angle A[/tex], if sum of the two angles is equal to 180°.
[tex]i.e. \angle A +\angle B=180^\circ[/tex].
For example, angle made on one side by a line intersecting the other line are supplement of each other.
Here, we are given that [tex]\angle 5[/tex] is a supplement of [tex]\angle 6[/tex].
In other words:
[tex]\angle 5+\angle 6=180^\circ[/tex]
Putting value of [tex]\angle 5[/tex]:
[tex]\Rightarrow 78^\circ+\angle 6=180^\circ\\\Rightarrow \angle 6 =180^\circ-78^\circ\\\Rightarrow \bold{\angle 6 =102^\circ\\}[/tex]
So, the answer is: [tex]102^\circ[/tex]
Mike is catering a party. He plans on having 4 trays of 5 appetizers each on the buffet at the beginning of the party and will rotate in new trays as those become empty. To ensure that he does not run out of appetizers during the party, he is going to make 2 appetizers per person in addition to the initial number put out on the buffet. Which of the following represents A, the amount of appetizers Mike needs to make, in terms of p, the amount of people attending the party?
A.
A = 20p + 2
B.
A = 20 + 2p
C.
A = 2 - 20p
D.
A = 2p - 20
Answer:
B
Step-by-step explanation:
Since he needs to make 2 appetizers per person, the variable "p" needs to go with the "2".
Also, since he is making 20 ( 4 trays, 5 apps each) extra appetizers for the beginning, we will need to add 20 to that number.
How many different outfits can be made
if Jessica chooses 1 each from 11 skirts, 9 blouses,
3 belts, and 7 pairs of shoes?
Answer: 2079
Step-by-step explanation: 11 x 9 x 3 x 7 = 2079, there are 2079 possible combinations of outfits
Using the Fundamental Counting Theorem, it is found that 2079 different outfits can be made.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, considering the options, we have that [tex]n_1 = 11, n_2 = 9, n_3 = 3, n_4 = 7[/tex].
Hence, the total number of options is given by:
N = 11 x 9 x 3 x 7 = 2079.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
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Find the value of a/b when a = 2/3 and b= 7/9
Answer:
6/7
Step-by-step explanation:
2/3X9/7
simplify 9 by 3
which equals:
2/1X3/7
=6/7
3. (2, 4), (-2, 2), (2, ο)
Is this set of numbers a function or not a function?
Answer:
not a function
Step-by-step explanation:
This is not a function
The input 2 goes to two different outputs
2 goes to the output of 4 and the output of 0
This makes it a relation and not a function
two variable equation
LET x=0 x-2y=4 what is the value of y?
Solve for the missing variable: LET y=0: x-2y=4 what is the value of x?
Step-by-step explanation:
(i) Let x = 0 and x-2y=4
Put x = 0 in x-2y=4
0-2y=4
-2y=4
y=-2
If x = 0, the value of y is -2.
(ii) Let y=0 and x-2y=4
Put y = 0 in x-2y=4
x-2(0)=4
x=4
If y = 0, the value of x is 4.
if a parallellogram has a 30° angle, can it also have a 150° angle? why?
Answer:
Yes.
Step-by-step explanation:
Whenever a parallelogram Has a 30 degree angle it always has a 150 degree angle, because the sum of quadrilaterals (a parallelogram is a quadrilateral in which each pair of opposite sides is parallel) is 360 and each angle is equal to the opposing one so if you were to have 150^2 that would equal 300 and 30^2 would equal 60, so therefore it’s equals 360.
I hope this was explained thoroughly enough.
A triangle has vertices at (-4,-6),(3,3), (7,2). Rounded to two decimal places, which of the following is the closest approximation of
the perimeter of the triangle?
A. 19.34
B. 12.36
C. 15.52
D. 29.12
Answer:
Hey there!
The perimeter of the triangle is the distance around it.
We can find the distance of two points using the distance formula, and add up all the distances to find the total distance.
-4, -6 to 3, 3 is 2
3, 3 to 7, 2 is 5
7, 2 to -4, -6 is about 5.4
2+5+5.39=12.4, which is closest to 12.36.
Let me know if this helps :)
help
for the “R=“
the choices are
-3
0
3
for the “S=“
the choices are
5
3
-3
Answers:
R = -3S = -3T = -9For each row, you're adding the values of 'a' and 'b'. The first row has 1+2 = 3.
When adding two negatives, add the positive versions of each number, then make the result negative. So -1 + (-2) can be thought of as 1+2 = 3, then you make everything negative.
When adding a negative to a positive, you'll subtract the positive version of each number. The final result is positive if the larger absolute value is positive, or otherwise it's negative. We have -4+1 that can be thought of as 4-1 = 3, but since the '4' is larger and it is negative, this means -4+1 = -3.
due soon!!
Find the measure of GE¯¯¯¯¯¯¯¯. A. 14 B. 20 C. 15 D. 16
Answer:
D. 16
Step-by-step explanation:
[tex] GH^2 = GF \times GE[/tex]
[tex] 12^2 = 9 \times (9+x - 2)[/tex]
[tex] 144= 9 \times (7+x)[/tex]
[tex] \frac{144}{9}= (7+x)[/tex]
[tex] 16= 7+x [/tex]
[tex] 16-7=x [/tex]
[tex] 9=x [/tex]
GE = 9 + x - 2 = 9 + 9 - 2 = 18 - 2
GE = 16
Answer:
D.16
Step-by-step explanation:
GE × GF = GH^2
9 × (9 + x - 2 ) = 12^2
63 + 9x = 144
9x = 81
x = 9
so, GE = 9 + x - 2
= 7 + 9
= 16
can you please solve this for me asap?
Hi there! :)
Answer:
(a) ≈ 3.61 cm.
(b) = 2.77 cm².
Use the Pythagorean theorem to solve for the side-length of DC. Let "s" represent the side-lengths:
s² + s² = 26
2s² = 26
Divide both sides by 2 to simplify:
s² = 13
Take the square root of both sides:
s = √13 ≈ 3.61 cm.
------------------------------------------------------------------------------------------
Calculate the shaded region by subtracting the area of the arc from the area of the square. DC represents the radius of the circle that the arc is apart of. Therefore:
Area of arc AC = 1/4 (πr²)
Solve for the area:
AC = 1/4 (π · (3.61)²)
AC = 1/4 (40.92)
AC = 10.23 cm²
Subtract this area from the area of the square (A = s²)
A = (√13)²
A = 13 cm²
13 - 10.23 = 2.77 cm²
Therefore, the solutions are:
(a) ≈ 3.61 cm.
(b) = 2.77 cm².
O comprimento de um retângulo é 6x e sua largura é 5y. A) Escreva uma expressão algébrica que representa o perímetro desse retângulo. B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.
Answer:
A) 12x + 10y
B) 118cm
Step-by-step explanation:
A) A fórmula para calcular o perímetro de um retângulo é dada como:
Perímetro de um retângulo = 2 (L + W)
= 2L + 2W
Onde
L = comprimento do retângulo
W = largura do retângulo
A) A pergunta nos diz que:
O comprimento de um retângulo é 6x e sua largura é 5y.
A expressão algébrica que representa o perímetro do retângulo =
Perímetro de um retângulo = 2 (L + W)
= 2L + 2W
L = 6x, W = 5y
= 2 (6x) + 2 (5y)
= 12x + 10y
A expressão algébrica que representa o perímetro do retângulo é
P = 12x + 10y
B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.
P = 12x + 10y
x = 4cm
y = 7cm
Perímetro = 12 (4) + 10 (7)
Perímetro = 48cm + 70cm
Perímetro do retângulo = 118cm
Portanto, o valor numérico do perímetro é 118cm
Which of the following is equal to the opposite of −45? −(−45) −45 −|−45| −|45|
Answer:
-(-45) and -|45|
Step-by-step explanation:
Opposite of a number can also me termed the conjugate of such number. For example, the conjugate (opposite) of a is -a.
Also any value in the modulus sign can either be a negative or positive value. For example |a| can be +a or -a.
According to the question, we are to find the numbers that are equivalent to opposite of -45 i.e which of them are conjugate of -45.
To do this, we are to select the values in the options that will return +45.
Let's look at each option.
For -(-45):
Since the product of two negative sign will give a positive(+), then -(-45) = +45 and hence the value is opposite of -45
For -45:
-45 is a negative value and can never be positive since 45 is not inside a modulus sign. Hence, -45 is not equal to opposite of -45.
For −|−45|, |-45| can only return a positive value since -45 is already in a modulus sign. What the modulus sign will do is convert it to positive value i.e |-45| = 45. Hence -|-45| ≈ -(45) which is not also equivalent to the opposite of-45.
For -|45|:
The value inside modules will return both +45 and -45, hence it can be written as -|45| = -(-45) = +45. This shows that -|45| is also equivalent to the opposite of -45.
Answer:
-(-45) and -|45|
Step-by-step explanation:
is the square root of 180 between 13 and 14
Answer:
The square root of 180 is:
13.416407865
So yes the square root of 180 IS between 13 and 14
Which term is the question
Answer:
trinomial
Step-by-step explanation:
Given polynomial has three terms, therefore it is a trinomial.
give two other names for cd
Answer:
Laser Disk, Digital Recording
Step-by-step explanation:
x=3y+6
how do I solve for y?
Answer: y=2X-3
Step-by-step explanation:
1st u need to subtract the 6 on each side so your left with, -6+X=3y, then u divide the 3 on each side and your left with, -3+2X=y.
If y = 1/2(d + 1), find y when d = 7
Answer:
4
Step-by-step explanation:
Plug in 7 for d:
y= 1/2(7+1)
y=1/2(8) .... Adding what's in the parenthesis (PEMDAS)
y=4 ..... Multiply 1/2 by 8
Hope this helps:)
Answer:
[tex] \boxed{ \boxed{ \bold{ \purple{y = 4}}}}[/tex]Step-by-step explanation:
[tex] \sf{Given}[/tex]
[tex] \sf{d = 7}[/tex]
Let's find the value of y:
[tex] \sf{y = \frac{1}{2} (d + 1)}[/tex]
plug the value of d
[tex] \sf{ = \frac{1}{2} (7 + 1)}[/tex]
Add the numbers
[tex] \sf{= \frac{1}{2} \times 8}[/tex]
Calculate
[tex] \sf{ = 4}[/tex]
Hope I helped!
Best regards!
If NL = 13, find NM. X+15 2x+34
Answer:
3
Step-by-step explanation:
The question is incomplete. Here is the correct question.
If NL = 13, find NM. NM = X+15 ML = 2x+34
Using vector notation, NL = NM+ML
Substituting the given parameters into the equation;
13 = x+15+(2x+34)
13 = x+15+2x+34
Collect like terms.
x+2x+15+34 = 13
3x+49 = 13
3x = 13-49
3x = -36
x = -12
Given NM = x+15 and x = -12
NM = -12+15
NM = 3
factorise 6b²+3b+8b+5
Answer:
(6b + 5)(b + 1).
Step-by-step explanation:
6b² + 3b + 8b + 5
= 6b^2 + 11b + 5
= 6b^2 + 6b + 5b + 5
= 6b(b + 1) + 5(b + 1) b + 1 is common so:
= (6b + 5)(b + 1)
Answer:
( 6b + 5 ) ( b + 1 )
Step-by-step explanation:
6b² + 3b + 8b + 5
6b²+ 11b + 5
6b²+ 5b + 6b + 5
( 6b + 5 ) ( b + 1 )
Through 5 games in April, Lebron James has scored 112 points. At this rate, how many points will he score in his next 12 games? Round to the nearest point. _______ points
Answer:
269points
Step-by-step explanation:
112/5=22.4
22.4x12=268.8
268.8≈269
work out 2 ¼÷ ½ as a single fraction
Show all your working.
Answer:
Step-by-step explanation:
[tex]2\frac{1}{4}[/tex] ÷[tex]\frac{1}{2}[/tex] = [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex]
[tex]=\frac{9}{4}*\frac{2}{1}\\\\\\=\frac{9}{2}\\\\\\=4\frac{1}{2}[/tex]
(4,0) (3,-1) (6,3) (2,-4) which are solutions to y=x-4
Answer:
None of them are
(4,-4)
Step-by-step explanation:
To find the value of x make y =0 then substitute into the formula. Therefore 0 = x-4 then make x the subject by adding 4 to the other side 4+0=x.
Then to find the value of y make x=0 then substitute it into the formula y=0-4 which is equal to - 4
I hope this helps
Which pair of undefined terms is used to define the term parallel lines?
point and line
plane and line
point and ray
ray and line
Answer-
B) Plane and line
The pair which is undefined terms are used to define the term parallel lines is B. plane and line
What is meant by parallel line?Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
What are the properties of parallel lines?Properties of Parallel Lines
Corresponding angles are equal. Vertical angles/ Vertically opposite angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal.
What is an example of a parallel?My dog not only likes to play fetch but also chase cars. Parallel: My dog not only likes to play fetch, but he also likes to chase cars. My dog likes not only to play fetch but also to chase cars. When you connect two clauses or phrases with a word of comparison, such as than or as, use parallel structure.
Learn more about Parallel Lines at https://brainly.com/question/4954460
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After a snowstorm in the town of Golden Glen, the morning temperature was – 10°F. But by the afternoon, the temperature had risen by 17°F. What was the afternoon temperature?
Answer:
7°F
Step-by-step explanation:
We have the following information from the question;
Morning temperature = -10°F
Increase in temperate = 17°F
Afternoon temperature = the unknown
Since;
Increase in temperature = Afternoon temperature - morning temperature
Then;
Afternoon temperature = increase in temperature + morning temperature
Afternoon temperature = 17°F + (-10°F)
Afternoon temperature= 7°F
Answer:
7
Step-by-step explanation:
Your welcome!
which value of x makes the equation 2.75(2x - 14)= 5.55
Answer:
x=881/110 =8^1/110 =8.009
Step-by-step explanation:
2.75(2x−14)=5.55
Divide both sides by 2.75.
2x-14=5.55/2.75
Expand 5.55/2.75 by multiplying both numerator and the denominator by 100.
2x−14= 555/275
Reduce the fraction 555/275 to lowest terms by extracting and canceling out 5.
2x−14= 111/5
Convert 14 to fraction 770/55 = 14
2x=111/55+770/55
Since 111/55 and 770/55 have the same denominator, add them by adding their numerators.
2x=111+770/5
Add 111 and 770 to get 881.
2x=881/55
Divide both sides by 2.
x= 881/55/2
Express 881/55/2 as a single fraction.
x= 881/55 x 2
Multiply 55 and 2 to get 110.
x = 881/110
15. True or False? In a recession or a depression, inflation will likely decrease.
A. True
B. False
Answer:
a
Step-by-step explanation:
in a depression inflation is most likely to decrease
Answer:
The correct answer is A. True
Step-by-step explanation:
Which equation has exactly one solution?
A. x+7= x-2
B. 2(x-6)=2x-12
C. 3(x+2) = 2x-5
D. 7x+13= 13+7x
Answer:
a and c
Step-by-step explanation:
a. 9=x
b.2x-12=2x-12 ims
c.3x+6=2x-5
3x+11=2x
11=-1x
-11=x
d. ims
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.
Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
Answer:
Step-by-step explanation:
The length is x2 while the width is x1.5
Therefore it cannot be a scaled copy
Answer: It is not scale copy (given)
Step-by-step explanation:
Rectangle B: 15 by 10
Rectangle C: 30 by 15
-------------------------------------
First way: Compare the ratio among themselves
Rectangle B: 15:10=3:2
Rectangle C: 30:15=2:1
Apparently, the two side ratios are not the same, thus it is not scale copy
--------------------------------------
Second way: Compare the ratio between the two.
Length: Rectangle B:Rectangle C=15:30=1:2
Width: Rectangle B:Rectangle C=10:15=2:3
1:2≠2:3
Thus, Rectangle C is not a scaled copy of Rectangle B
Simplify -6/3 divided by 2/-9
(20pts) Prove that the product of any two odd numbers is always odd. Make sure to explain your proof
Answer:
See below (I hope this helps!)
Step-by-step explanation:
Because odd numbers are always 1 greater than even numbers, we can call the two odd numbers x + 1 and y + 1 where x and y are even integers. Multiplying the two gives us:
(x + 1) * (y + 1)
= x * y + x * 1 + 1 * y + 1 * 1
= xy + x + y + 1
We know that x * y will be even because x and y are also even and the sum of two even numbers will be even, and we also know that x and y are even and that 1 is odd. Since the sum of even and odd numbers is always odd, the product of any two numbers is always odd.
*NOTE: I put a limitation on x and y in my proof (the limitation was that x and y must be EVEN integers) but you don't have to do that, you could make the odd integers 2x + 1 and 2y + 1 where x and y could be any integer from the set Z like mirai123 did. I simply gave this proof because it was the first thing that came to mind. While mirai123's proof and mine are different, they are still both correct.
Answer:
Prove that the product of any two odd numbers is always odd.
Examples:
[tex]3 \cdot 7 = 21 \text{ } \boxed{\text{odd}}\\5 \cdot 9 = 45 \text{ } \boxed{\text{odd}}\\83 \cdot 3 = 249 \text{ } \boxed{\text{odd}}[/tex]
Defining an odd number as:
[tex]u= 2k+1, k \in \mathbb{Z}[/tex]
[tex]u \cdot u = (2k+1)(2k+1)= 4k^2+4k+1[/tex]
[tex]\text{Is } \boxed{4k^2+4k+1} \text{ odd?}[/tex]
Yes, it is, because [tex]4k^2 \text{ and } 4k \text{ will always be even considering } k \in \mathbb{Z}[/tex]
An even number plus one is an odd number.