Answers
Answer:
The measure, in degrees, of ∠ABC = 25°
Hence, option A is true.
Step-by-step explanation:
Given
The exterior angle m∠CBD = 155°
To determine
The measure of ∠ABC
We know that the exterior angle and interior angle are supplementary angles.
In other words, adding the interior angle and an exterior angle would give us 180°.
Here:
m∠CBD = 155° is exterior angle
∠ABC is the interior angle.
When we add m∠CBD and m∠ABC we would get 180°.
m∠CBD + ∠ABC = 180°
substituting m∠CBD = 155°
155° + ∠ABC = 180°
∠ABC = 180° - 155°
∠ABC = 25°
Therefore, the measure, in degrees, of ∠ABC = 25°
Hence, option A is true.
Related Questions
Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!
Answers
Answer: 27 I think
Step-by-step explanation:
72 divided by 3 plus 3
The age of Nia is given by the equation N = 27 years old
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the age of Nia be represented as N
Now , the equation will be
Let the age of Conray be C
The value of C = 72 years
And , Conray is three times his daughter's age
Let the age of Conray's daughter be D
The value of D = C / 3
Substituting the values in the equation , we get
The value of D = 72/3 = 24 years
And , Conray's daughter is three years younger than Nia
So , N = D + 3
Substituting the values in the equation , we get
N = 24 + 3
On simplifying the equation , we get
N = 27 years
Therefore , the value of N is 27 years
Hence , the age of Nia is 27 years
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Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for two quarts of apple cyder, three teaspoon of cinnamon, and one pint of lemon-lime soda. This will make enough for 8 people to share. In my neighborhood, however, there are 36 people. How much do I need for each ingredient to make enough for everyone?
Answers
Answer:
j
Step-by-step explanation:
HI PLS I NEED HELPPPPPP NO DUMDUM ANSWERS I LEGIT NEED HELP
Answers
9514 1404 393
Answer:
Part A: C) The order of discounts does not matter.
Part B: both prices are $54.91
Step-by-step explanation:
Part A:
The calculation of the final price can be ...
((original price)·(1 - membership discount))·(1 -sale discount)
= ((original price)(0.88))(0.80)
The associative and commutative properties of multiplication tell you this is fully equivalent to ...
= (original price)(0.80)(0.88)
In short, the order of discounts does not matter.
__
Part B:
When the membership discount is applied first, the final price is ...
($78)(0.88)×0.80 = $68.64·0.80 = $54.91
When the sale discount is applied first, the final price is ...
($78)(0.80)×0.88 = $62.40·0.88 = $54.91
Four hundred tulips grow in the tulip field. That's 80 percent of all the tulips in the park. How many tulips are in the park?
Answers
Answer: 500
Step-by-step explanation: Good luck! :D
Eight more than a number is twenty-seven. What is the number?
Answers
Answer:
19 this is your answer.....
Answer:
Step-by-step explanation:
About 20 feet
Alicia already spent $8.25 of her paycheck. If this was 15% of her paycheck, how much was she paid?
A. $15.00
B. $23.25
C. $55.00
D. $123.75
Answers
Answer:
She was paid $55.
Step-by-step explanation:
15%=0.15
8.25/0.15=55
If I got 562 on my 7th grade Math Diagnostic then what grade level am I?
Answers
Answer:
7th grade, I think
I looked it up but I am not 100% sure
What is the last digit of
[tex]1 \times 3 \times 5 \times 7 \times 9 \times 11 \times 13[/tex]
A. 5
B. 3
C. 7
D.6
E. 9
Answers
Since their is a 5 in the sequence the answer is always either going to end in a 0 or a 5. since zero isn’t an option the answer is 5.
ill give 100 points!
Mark has a fish tank in the shape of a sphere, with a diameter of 2 feet. He wants to fill it ¾ full. How much water will it hold at ¾ full?
Answers
Answer:
Would it not be 1 1/2 cups of water?
Step-by-step explanation:
3/4 of 2 feet is 1 and a half. If Mark wanted to fill it at 4/4 full, that'd be 2 feet. 3/4 is 1 and a half.
What number should go in the space?
Multiplying by 0.76 is the same as decreasing by ____%.
Answers
Answer:
76%
Step-by-step explanation:
Do turn decimals into percentages you just gotta multiply by 100.
0.76×100=76
Answer:
24
Step-by-step explanation:
One side of a rectangle is three yards longer than twice the length of the other side. If the perimeter is 27 yards, what is the length of the other side? Please help I'll give brainliest
Answers
Answer:
Length of sides ;
3.5 yards ; 10 yards.
Step-by-step explanation:
Let :
Side 1 = x
Side 2 = y
x = 2y + 3
Perimeter (P) of rectangle = 2(side1 + side2)
Perimeter, P = 27
P = 2(x + y)
27 = 2(2y + 3 + y)
27 = 2(3y + 3)
27 = 6y + 6
27 - 6 = 6y
21 = 6y
y = 21/6
y = 3.5
From ; x = 2y + 3
x = 2(3.5) + 3
x = 7 + 3
x = 10
Length of the other side of the rectangle will be 10 yards.
Perimeter of a quadrilateral:Perimeter of a quadrilateral is given by sum of all the sides.
Perimeter of a rectangle = 2(Length + Width)
Given in the question,
One side of the rectangle is three yards longer than twice of the other side.Perimeter of the rectangle = 27 yardsLet one side of the rectangle = x yards
Therefore, other side of the rectangle = (2x + 3) yards
Substitute the values in the expression for the perimeter,
Perimeter = 2[x + (2x + 3)]
27 = 2(3x + 3) [Simplify the equation]
27 = 6x + 6
6x = 21
x = 3.5 yards
Other side of the rectangle = (2x + 3) yards
= 2(3.5) + 3
= 10 yards
Therefore, length of the other side of the rectangle will be 10 yards.
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The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?
Answers
Answer:
5 cm
Step-by-step explanation:
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.
Distance = D
Weight = W
Hence:
D ∝ W
D = kW
Where k is constant of proportionality
Step 1
We solve for k
If a spring stretches 2 cm when a 30 gram weight is hung from it.
2 = 30k
k = 2/30
k = 1/15
Step 2
how far will it stretch when a 75 gram weight is hung from the spring?
D = kW
We are solving for D
k = 1/15
D = 1/15 × 75
D = 5 cm
The spring would stretch 5cm with a weight of 75 gram.
Find the y-intercept of the graph
Answers
Answer:
The y intercept is zero
Step-by-step explanation:
Craig has 80 cents in nickels (n) and dimes (d). He has four more nickels than dimes.
Write a system of equations that models the situation.
Solve the system of equations using any method.
PLEASE I NEED HELP!!!!
Answers
Answer:
Criag has 4 dimes and 8 nickles
Step-by-step explanation:
1 dime = 10 cents
1 nickle = 5 cents
4 dimes = 40 cents
8 nickles = 40 cents
40 cents + 40 cents = 80 cents
8 - 4 = 4
therefore it is equivelent that criag has 4 dimes and 8 nickels.
What is the y-intercept of the function nx) = x + 5
costs us when ons
Answers
What is the midsegment for triangle ABC?
A) 26
B) 13
C) 8
D) 4
Answers
Because the mid-segment is half of 26
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answers
Answer:
3
Step-by-step explanation:
j(2) means that x equals 2...
the first inequality in the function says that x is greater than or equal to 2
the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5
the third one states that x is greater than 5
x applies to the first inequality since we know that x can be equal to 2
Now, to the number before the if
there is a 3 before the if in the first inequality
This means that if x is greater than or equal to 2 the y or the function would equal 3
therefore, j(2) would equal 3
I hope this helps!!!
1.
The pair of figures is similar. Find x.Round to the nearest tenth if necessary.
A. 2.7 ft
B. 4.1 ft
C. 2.2 ft
D. 0.3 ft
Answers
PLEASE ANSWER MY QUESTEN THAT IS SHOWN BELOW
Answers
Answer:
[tex]2^{3} *3^{3}[/tex]
Step-by-step explanation:
You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual interest rate of 4.6%. If you pay this back in 30 years, how much did the house cost you in total? A=p(1+rt) format
Answers
Answer:
Total cost of the house = $725,880
Step-by-step explanation:
This can be calculated as follows:
Down payment = $345,000 * 20% = $69,000
Amount borrowed = $345,000 * (100% - 20%) = $276,000
The total amount of loan repaid can be calculated using the following formula:
A = p(1 + rt) .................... (1)
Where;
A = Total amount of loan repaid = ?
p = Principal or amount borrowed = $276,000
r = annual interest rate = 4.6% = 0.046
t = number of years = 30
Substitute the values into equation (1), we have:
A = $276,000 * (1 + (0.046 * 30)) = $656,880
The total cost of the house can now be calculated as follows:
Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880
What is the Graph y=x+4
Answers
Answer:
It is a line with a positive slope and positive intercept
Step-by-step explanation:
If you want it in SF, -x + y = 4
What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?
Group of answer choices
1/8
1/16
1/4
1/2
Answers
Answer: 1/8
Step-by-step explanation:
Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.
NEED NOW PLZ !!!!!!!!!!!!!!!!!!!!!!1
What is the area of the trapezoid?
Answers
Answer:
it 40 :)
Step-by-step explanation:
Answer:
1476
Step-by-step explanation:
Find the missing angle
Answers
Answer:
Since interior angles of hexagon sum up to 720°, [You may calculate this using formula 180(n - 2) where, 'n' is number of sides]
[tex]x + 146 + 167 + 53 + 125 + 133 = 720 \\or, x + 624 = 720\\or, x = 96[/tex]
Hello! I am unsure of how to do this question even after it told me the correct answer. It really confused me. Could somebody help me?
Answers
Answer:
x+2 < 11 and -x-2 < 11
Step-by-step explanation:
absolute value function has two solution
|x| = a
Then x=a and - x= a
|x + 2| < 11
Then x + 2 < 11 and -(x + 2) < 11
x + 2 < 11 and -x - 2 < 11
China drove 3,000 miles in 75 hours. At this rate, how long will it take her to drive 12,000 miles?
(unit rates)
can you please put the work. Please this is due in an hour and I have 20 more questions left.
Im counting on yall. :)
Answers
Answer:300
Step-by-step explanation:
The expression (3x? is equivalent to cx”. What is the value of c?
Answers
Answer:
c=3
Step-by-step explanation:
How many time does 3 go into 20?
Answers
Answer:
6 times.
Step-by-step explanation:
6x3=18
20-18=2
hope this helps ! </3 ~ alyssa
3 goes into 20 six times with a remainder of 2.
To determine how many times 3 goes into 20, we can perform division.
Dividing 20 by 3 gives us:
20 ÷ 3 = 6 with a remainder of 2
Or, 3 | 20 | 6
18
_____
2
Therefore, 3 goes into 20 six times with a remainder of 2.
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Tell whether the equation has one solution, no solution, or infinitely many solutions. 3x - 7 = 3(x - 3) + 2
Answers
Answer:3x-7=3(x-3)+2
3x-7=3x-9+2
3x-7=3x-7
Group like terms
3x-3x=-7+7
0=0
Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.
Write an equation to represent the given scenario.
Alicia went to buy a new car at the car dealership. She paid
$2.500 for her down payment and she will pay $256 per
month The car cost a total of $17,860. Write an equation to
represent this scenario.
Answers
Answer:
256x +2.500=17860
Step-by-step explanation:
So she has to pay 256 per month which means every month.So that is our reapeted fee.Because it is reapeting every month.2.500 is the fee that you have to give for down time payement but only once .So that is our One Time Fee.And 17860 is our total.Always remember that the vairable goes with the reapted fee.and our equation is reapted fee times vairaible addes to one time fee is equal to total.