Answer: 75°
Step-by-step explanation:
Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:
x + 5 + 3x + 3x = 180
simplify
7x + 5 = 180
subtract 5 from both sides
7x = 175
divide each side by 7
x = 25
plug 25 in for x to find the angle measure
3(25) = 75
The measure of angle ∠C would be 75 degrees which is the correct answer would be option (D).
The lengths of sides AC and AB are congruent.
Angle CAB = (x + 5) degrees.
Angle ABC = (3 x) degrees.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
We may deduce that ABC and ACB are congruent by using the Base Angles Theorem. Because the angles of a triangle sum up to 180 degrees, we may solve for x using this equation:
⇒ x + 5 + 3x + 3x = 180
Rearrange the likewise terms and apply the arithmetic operation,
⇒ 7x + 5 = 180
Subtract 5 from both sides of the above equation,
⇒ 7x = 175
Divide both sides by 7 of the equation,
⇒ x = 25
Since Angle ∠ABC is (3 x) degrees.
Substitute the value of x = 25 to find the angle measure
⇒ Angle ∠C = 3(25) = 75°
Therefore, the measure of angle ∠C would be 75 degrees.
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Determine the area of the composite figure to the nearest whole number.
A) 132 ft²
B) 176 ft²
C) 184 ft²
D) 216 ft²
Answer:
B) 176 ft²
Step-by-step explanation:
asdasdddddddddddddddddasdasdasdasdsa
omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
Five more than a certain number is 11 less than double the number
Answer:
The number is 16
Step-by-step explanation:
Five more than a certain number is 11 less than double the number
x+5 = 2x-11
11+5 = 2x-x
16 = x
Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
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Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution
Answer:
C. x = 5, y = -2
Step-by-step explanation:
I graphed the equations on the graph below.
If this answer is correct, please make me Brainliest!
1. Consider a sphere with a radius with an 18 inches.
Part A: Determine the surface area of the sphere.
Answer:
Surface Area = 4071.5
Step-by-step explanation:
A = 4 π [tex]r^2[/tex]
A = 4 ×π×18×18
A = 4071.5
Bravo!
Please help ;-;, I really need it-
Answer:
See below
Step-by-step explanation:
For a more detailed explanation, take a look at PDF below;
Surface Area of First Figure; 544 in^2,
Surface Area of Second Figure; 276 ft^2,
Surface Area of Third Figure; 1240 yd^2
PLSSSS help
Marking BRainlist
Answer: x = 14 for the first one, x = 4 for the second
Step-by-step explanation:
8x - 9 = 7x + 5
subtract 7x from both sides
x - 9 = 5
add 9 to both sides
x = 14
8x + 9 = 3x + 29
subtract 3x from both sides
5x + 9 = 29
subtract 9 from both sides
5x = 20
divide both sides by 5
x = 4
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
Write this algebraic expression in words 5(n-4)+7
Answer:
Five times the difference of n and four plus seven
Step-by-step explanation:
Five times the difference of n and four plus seven
Answer:
five multiplied by the difference of N and four plus seven
Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution
Answer:
y ≥ 3x
Possible solution: x=1, y=3
Step-by-step explanation:
Since Henry has atleast 3 times as much money as Deb
y=3x
y must always be greater than or equal to 3x
if x=1 y=3
Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?
Answer:
479.375
Step-by-step explanation:
Answer:
$444.67
Step-by-step explanation:
A P E X
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
Please help me I have to go to a class and I need this fast
Answer:
5) Mode = 63 6) Mode = 74
Range = 70 Median = 74
Median = 63 Range = 57
Mean = 58.75 Mean = 68.7
Step-by-step explanation:
PLEASE ANSWER CLEARLY YOU CAN EITHER PUT JUST A LETTER OR THE LETTER AND IT'S ANSWER THANK YOU, EVERYONE! :)
The dimensions of a rectangle are represented by the functions shown.
Which function represents the area of the rectangle?
A. 12x2 + 15x – 10
B. 12x2 + 7x + 10
C. 12x2 – 8x – 10
D. 12x2 + 7x – 10
Answer:
D
Step-by-step explanation:
multiply it out
(3x-2) (4x+5) =
12x^2 +15x - 8x -10
= 12x^2 + 7x - 10
Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678
Answer:2
Step-by-step explanation:22*
Answer:
5 = 25 = 5
6 = 36 = 6
7 = NA
8 = 81 = 9
Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (x2 + 4x − 2) + (x2 − 2x − 4) = 2x2 + 2x + 2
B. (x2 + 4x − 2) + (x2 + 2x + 4) = 2x2 + 2x + 2
C. (x2 + 4x − 2) − (-x2 + 2x − 4) = 2x2 + 2x + 2
D. (x2 + 4x − 2) − (-x2 − 2x + 4) = 2x2 + 2x + 2
Answer:
Hello there the Correct answer The only answer choice that produces -2x²+2 is D.
Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2
answer: D
Hope It Helps!
The correct option is D.
How are algebra tiles named?
We name the Algebra Tile pieces by considering the area of each, meaning we need to know the dimensions of each piece. If the small yellow square has a length of 1 unit, the area of the small square is 1 square unit. Then the long green rectangle has dimensions 1 by x and has an area of x square units.
What are algebra tiles examples?
Algebra tiles are square and rectangle-shaped tiles or tiles that represent numbers and variables. For example, we can use square tiles to represent numbers. Each square tile is equal to one. So, four can be represented by four square tiles.
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Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.
Answer:
There needs to be a graph.
Step-by-step explanation:
The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.
What is proportionality?We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.
From the table, we need to find the rate of change between two given hours and the miles traveled at that time.
Now,
Between 1 hour and 2 hours.
The rate of change.
= (26 - 12) / (2 -1)
= 14 / 1
= 14
Between 2 hours and 3 hours.
The rate of change.
= (30 - 26) / (3 - 2)
= 4 / 1
= 4
Between 3 hours and 4 hours.
The rate of change.
= (48 - 30) / (4 - 3)
= 18 / 1
= 18
Since,
The rate of change is not the same for all the cases so,
Hence, the relationship between hours biked, and the miles traveled is not proportional.
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Combine the Expression:(10x - 4) + (-7 + x)
Answer:
11x-11
Step-by-step explanation:
(10x-4)+(-7+x)
10x-4-7+x
11x-11
Answer:
11x-11
Step-by-step explanation:
10x+x=11x
-4+(-7)=-11
11x-11
if this is right a brainliest would be very appreciated!
What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x
Answer:
d. 2x^2-8x
Step-by-step explanation:
ure just doing distributive property.
The product of 2x(x-4) is 2x² - 8x
HOW TO OPEN BRACKET?In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.
According to this question, we are given the following expression: 2x(x-4)
This means that 2x multiples x and -4 independently.
That is; 2x × x and 2x × -4
2x² - 8x
Therefore, the product of 2x(x-4) is 2x² - 8x.
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A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?
A. m/8
b. m-8
c. 8m
d. 8÷m
Answer:A Idk if this is right!
HELP PLEASEEE ASAP!! THIS IS AN EMERGENCY
Answer:
the answer is c
Step-by-step explanation:
Find the inequality represented by the graph.
URGENTT
Answer:
y < 3/4x
Step-by-step explanation:
Larry, Barry, Terry are saving their money for a trampoline that costs $340.
• The amount of money Larry has saved can be represented by x.
• The amount of money Barry has saved is 1
1
2
times the amount Larry has saved.
• The amount of money Terry has saved is 1
1
3
times the amount Larry has saved.
• The total amount of money saved by Larry, Barry, and Terry is $322.
What is x, the amount of money saved by Larry?
Answer:
Larry=X
Barry=112x
Terry=113x
L+B+T=322
x+112x++113x=322
226×=322
Larry saved $1.42
Answer:
$84
Step-by-step explanation:
I did it before.
The smallest animal that lives on land is the pygmy shrew. This animal weighs about 5 x 10-2
ounce. Which number shows another way to express 5 x 10-2?
50.0
0.50
0.05
5.00
PLLSS HELLPP
Answer:
5.00
Step-by-step explanation:
Answer:
5.00
Step-by-step explanation:
please help me!!!!!!!!!!
Answer:
(1,4)
(2,6)
(3,8)
(4,10)
(5,12)
Step-by-step explanation:
If a data value in a normal distribution has a negative z-score, which of the following must be true?
WHERE ARE THE FOLLOWING?
Answer:
C. The data value must be less than the mean
Step-by-step explanation:
Took the quiz on edge:)
MULTIPLE CHOICE:
A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3
Answer:
C
Step-by-step explanation:
The first term -2 is also -B; therefore A and B can be eliminated.
-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated
