Answer:
The measure of the angle ∠ABC is 108°
Step-by-step explanation:
An isosceles triangle has two equal sides and two equal angles
In this problem
∠BDA=∠BAD= 66° ----> the angles of the base are equals
Find the measure of the vertex angle
∠ABD = 180° - 2×66° = 48° (the sum of the internal angles of a triangle is equal to 180°)
then. Find the measure of the angle ∠CBD in the equilateral triangle we know that
The measure of the internal angle in a equilateral triangle is 60° so
∠CBD= 60°
Then find the measure of the angle ∠ABC
∠ABC=∠ABD+∠DBC
substitute the values
∠ABC= 48°+60° = 108°
The answer is 108°
The measure of the angle ∠ABC is 108°
Answer:
108 degrees
Step-by-step explanation:
Hi there!
1. Determine the measure of angle DBC
2. Determine the measure of angle ABD
3. Add them to determine the measure of angle ABC
We're given that triangle ABD is isosceles and triangle BCD is equilateral.
Because BCD is an equilateral triangle, all of its interior angles at 60 degrees.
Therefore, the measure of angle DBC is 60 degrees.
Triangle ABD is isosceles, so therefore, angle ADB is also 66 degrees.
The sum of the interior angles of a triangle is 180 degrees. Therefore, the measure of angle ABD is 180-66-66, which is 48 degrees.
To find ABC, add 60 and 48:
60+48 = 108
Therefore, angle ABC measures 108 degrees.
I hope this helps!
What is the probability of choosing an ace from a standard deck of 52 playing ?
Answer:
48/52
Step-by-step explanation:
The probability of picking up an ace in a 52 deck of cards is 4/52 since there are 4 aces in the deck. The odds of picking up any other card is therefore [tex]52/52 - 4/52 = 48/52.[/tex]
I hope this helps and have a great day!
-2(x-4)=10x+2
show ur work
Answer:
Step-by-step explanation:
-2(x-4) =10x+2
-2x--8= 10x+2
-2x+8= 10x+2
-2x+10x= 8+2
8x= 10
x= 0.8
Answer:
Step-by-step explanation:
To solve for x you first isolate the variable you want on one side. We will do this by using PEMDAS and expanding our terms fully first before we move our terms around.
[tex]-2(x-4)=10x+2\\-2x-8=10x+2[/tex]
We then isolate our term, remember to add numbers and variables to both sides so you aren't changing the value of the equation, and solve for x.[tex]-2x-8=10x+2\\-2x-8-2+2x=10x+2-2+2x\\-10=12x\\\frac{-10}{12}=x\\\frac{-6}{5}=x\\-1.2=x\\[/tex]
need a well explained ans ...
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Question : 1Cost price of the T.V. is :
[tex]₹ \: 15000[/tex]Question : 2The scooter cost him :
[tex]₹ \: 21000[/tex]The solution is in attachment ~
An airplane travels 2248 miles in 4 hours.
At this rate, how far could the airplane fly in 13 hours?
O 6656 miles
O 6981 miles
0 7306 miles
O I don't know.
Answer: the answer is 7306 miles in 13 hours
Step-by-step explanation: I just divided 2248 by 4 which is 562 then multiplied it by 13 which made it 7306. I took the quiz and got 100% hope this helps!
Sophie has 9 cards.
There is a number on each card.
a
5
4 42
31|15|9|6
Sophie takes at random two of the cards.
She works out the product of the numbers on the two cards.
Work out the probability that the product is an even number.
a marked
Answer:4
Step-by-step explanation:
The length of a rectangle is 8 cm more then 4 times the with. If the perimeter of the rectangle is 46 cm, what are the dimensions
Answer:
15
Step-by-step explanation:
let the breadth be x
let the length be x+8
perimeter of rectangle=2 (length +breadth)
so, 2 (x+x+8)=44cm
=2 (2x+8)=44
=4x + 16=44
=4x= 44-16
=4x= 28
=x = 28÷4
=x= 7
therefore,
breadth is 7 (x)
length is 7+8 (x+8)
=15
What is the arithmetic mean between 35 and 105?
A 60
C. 70
B. 65
D. 75
with formula of solutions,thanks
Answer:
70
Step-by-step explanat
cộng lại chia đôi
calculate the slope of the line shown on the graph using any two of the labeled points. Show your work on paper or in the box below.
Compare solving equations using addition with solving inequalities using addition
Answer:
give picture
Step-by-step explanation:
Solving inequalities with addition is similar to solving equations with addition in the initial steps, but it differs in the final answer due to the inequality sign. In both cases, you use addition to isolate the variable. However, with inequalities, you must consider the direction of the sign throughout the process.
When solving inequalities with addition, like equations, the goal is to isolate the variable on one side. You use addition to simplify the expression. Begin by treating the inequality like an equation, adding or subtracting the same value to both sides to eliminate constants and isolate the variable.
For example, if you have [tex]\(2x + 5 > 10\)[/tex], subtract 5 from both sides to get [tex]\(2x > 5\)[/tex].
Here's where it diverges: since inequalities involve the relationship between two quantities, you need to be mindful of the inequality sign. When you multiply or divide both sides by a negative number, the inequality direction flips.
For example, if you multiply [tex]\(x < 3\)[/tex] by -2, the sign changes to [tex]\(x > -6\)[/tex].
Remember, you're looking for a range of values that satisfy the inequality. So, when representing your final answer, use the appropriate inequality sign. For instance, if [tex]\(3x + 2 \leq 8\)[/tex], after simplifying, you'll have [tex]\(x \leq 2\)[/tex], indicating that any value of [tex]\(x\)[/tex] less than or equal to 2 satisfies the inequality.
In summary, while solving inequalities with addition is akin to solving equations with addition in the initial steps, the crucial distinction lies in managing the inequality sign throughout the process and representing the solution as a range of values that satisfy the inequality.
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Complete Question:
How is solving inequalities with addition is similar to or different from solving equations with addition ?
I NEED HELP ASAP WILL GIVE BRAINLIEST FOR ALL 3
2) i don't know answer for 2, but i know that it isn't right triangle because from Pythagoras' Theory we know that for right triangle: a^2 + b^2 = c^2 but in this triangle 30^2 + 38^2 ≠ 54^2
3) from Pythagoras' theory we know that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides: a^2 + b^2 = c^2
we have to check this in this triangle:
12^2 + 16^2 = 400
√400 = 20
we know that third side of this triangle is 20 so this triangle is right triangle
3) in square all sides are same so If a is the one side of the square then area of this square will be a x a = 242
a^2 = 242
so from Pythagoras' theorem we can found the diagonal:
a^2 + a^2 = c^2 ( c is hypothenuse)
242 + 242 = c^2
484 = c^2
c = 22
hope it's correct and it'll help you :)
determine if the givem binomial x-c is a factor of the given polynomial p(x)
[tex]p(x) = {x}^{4} - {x}^{3} + {x}^{2} + x - 1: x - 2[/tex]
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 42
cards, which was 4% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?
Multiply/scale up to solve.
cards
42
100
4
percent
Answer:
Bob sold 1,050 cards for Mother’s Day
Step-by-step explanation:
helpppppppppppppppppppppppppp
Answer:
with what?
Step-by-step explanation:
HELLLLLLPPPPPP MEEEEEEEEEEEE PLEASEEEEE
Answer:
look at the photo..................
what is 5713 – 75 =
show your workings out
Answer:
5713 - 75
= 5638
Step-by-step explanation:
brainliest plz
Plz help me with this
Answer:
Your picture is blurred
Step-by-step explanation:
Picture is blurred
Answer:
Ronaldo
Step-by-step explanation:
For brainily please help
Answer:
The largest side is ST
Step-by-step explanation:
It's the largest side because it is opposite to the largest angle
Can I get steps on how to solve this?
Answer:divided the total buy 9 and if I’m reading correctly the total is two
Step-by-step explanation:
what is the sum of x + y when x = -4/5 and y = 1/3
Answer:
-7/15
Step-by-step explanation:
To get the sum of two fractions, you need to make their denominators the same, ideally the least common denominator, or LCD.
So, first off, substitute x + y with the values of the variables to get -4/5 + 1/3. Next, find the LCD of the fractions. In this case, the denominators are both prime, so the LCD is the product of the denominators. Because 3 * 5 = 15), both denominators should end up being 15. Next, multiply both parts of both fractions by the number needed to get to that LCD. In this case, you're multiplying -4/5 by 3 on the top and bottom, and 1/3 by 5 on the top and bottom. This should get you an expression of -12/15 + 5/15. Next, add away! (-12 + 5)/15 = -7/15, and you're done!
Find the Area. Use 3.14 for pi
Answer: 36.56
Step-by-step explanation:
To solve the equation, first acknowledge that the radius of the quarter circle shown at the top of the figure is 4 cm, so the rectangle's dimensions are 4 by (10-4) or 4 by 6, meaning the area is 24 cm^2.
Then address the circle, with an area of pi * r^2.
pi * r^2
3.14 *(4)^2
3.14 * 16
50.24
Then, because the figure shows 1/4 of a circle, divide 50.24 by 4.
50.24/4
12.56
Then add 24 to 12.56 to get 36.56.
Hope it helps :) and let me know if you want me to elaborate.
FRANK has a paper clip.it has a mass of 9g and a volume of 3cm3.what is its density?
Answer:
3 g/cm³Step-by-step explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question we have
[tex]density = \frac{9}{3} = 3 \\ [/tex]
We have the final answer as
3 g/cm³Hope this helps you
What is the value of c?
Answer:
should be 13
Step-by-step explanation:
This week Edward spent $30 for hot dogs and supplies. He eamed $18.
Did he make money or lose money this week? Explain.
What is the coefficient in the expression 8−x7? Question 7 options: −7 7 17 −17
Answer:
7
Step-by-step explanation:
which of these points is closest to the point (7,1)?
A. (4,1)
B. (7,-1)
C. (7,4)
D. (11,1)
Answer:
7,-1 should be the answer but I am not fix ok wait for others comment
y=6/13X is a proportional relationship
The equation, y = 6/13x, represents a proportional relationship.
What is a Proportional Relationship?A proportional relationship between two variables, x and y, can be represented as y = kx, where, the constant of proportionality is k.Given, y = 6/13x:
constant of proportionality is 6/13.
Therefore, the equation, y = 6/13x, represents a proportional relationship.
Learn more about proportional relationship on:
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Which of the following best describes the algebraic expression 10x +2?
A. The sum of ten times a number and two.
B. Ten times the sum of a number and two.
C. The product of ten plus a number and two.
D. Ten times the quantity of a number plus two.
Step-by-step explanation:
option A describes the algebraic expression 10x + 2.
hope this answer helps you dear!
An insurance agent earns a base salary of 32,000 and commission of 3% of his sale he also receives an additional fee of 16.00
Answer:
EHEHEHEHEHEHEHEGRGEHEHE
Step-by-step explanation:
22,324
Please help! It’s for geometry and I don’t understand
The answer is 54.
Angle 6 is equal to angle 7 so we can substitute angle 7 in for any equations that require angle six what we would want to do is (13x + 9)°+(5x + 9)°= 180°, then you would combine like terms which would then give you 18x+18=180 after this you want to isolate your variable by subtracting 18 from both sides which would give you 18x=162 then you would divide 162 by 18 to give you x=9 next to find angle 6 you would substitute x in the equation so it would be (5(9)+9) 5 multiplied by 9 then add 9 which would give you 45 + 9 which equals out to 54.
Simplify, then determine which is greater
Answer:
1) answer is 2x^2 - x + 6
2) answer is 2x^2 + 2x + 2
Step-by-step explanation:
i dont know if this is what you wanted, but i tried to follow the directions as best i could
Answer:
2x2 - 2x + 6 - (-3x) = 2x2(tiny) + x + 6
or
-(3 - 2x2) + 5 +2x = 2x2(tiny) + 2x +2
Step-by-step explanation:
I don't remember exactly how you find the smallest, sorry...