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!
Someone please help it’s due soon..
Wilde River Highschool and Oakview Mills High Schol played each other in a football game for the country Championship. Going into the 4th quarter, the teams were tied 21-21. Based on the following statistics in the 4th quarter, make an argument for which team you predict to win. Be sure to include mathematical reasoning in your argument.
Gains- Closer to scoring
Loses- Farther from scoring
SOMEONE PLEASE HELPPOOO
Answer: Oakview Mills will win
Step-by-step explanation:
Please help.
Point M is the mid-point of PQ. The coordinates of P and M are given below.
M (5, -2) and P (11, -10)
Based on the information, what is the coordinates of Q?
Answer:
(-1,-6)
Step-by-step explanation:
(-1,-6)
Multiply coordinates of mid point by 2
take away from point P
A radio station requires DJs to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials.
Answer:
5 : 1 or 10 : 2
Step-by-step explanation:
PLEEASEEE HELP WILL MARK BRAINLIEST IF CORRECT
Which table is a probability distribution table?
1. X Blue Orange Green Purple
P 0.3 0.4 0.5 —0.2
2. X Blue Orange Green
Green Purple
P 0.6 0.05 0.05 10.3
3. X Blue Orange Green
Green Purple
P -1 1 1 0
4. X Blue Orange Green Purple
P 0.4 0.4 0.2 10.1
Answer:
I believe it is C
Step-by-step explanation:
sorry if I'm wrong I'm not sure
Table (2) is a probability distribution table.
What is probability?Probability is the possibility of happening an event.
Note the probability can never be negative, therefore, discard the tables with negative values.
Hence, table (1) and table (3) cannot be probability distribution tables.
Now, the sum of all probabilities in a probability distribution is always 1.
The sum of probabilities in the table (2) is:
0.6 + 0.05 + 0.05 +0.3
=1.0
And, the sum of probabilities in the table(4) is:
0.4 + 0.4 + 0.2 + 0.1
=1.1
Therefore, table (2) is a probability distribution table.
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Ricardo invests $8650 in an account that earns 3.9% interest compounded weekly. What is the total amount of his investment after 9 years? Round your answer to the nearest dollar.
Based on the amount he invested and the period of his investment, Ricardo's investment worth in 9 years will be $12,286.
The period of compounding is weekly so you first need to convert the interest rate to a weekly rate as well as the period of investment:
= 3.9% / 52 = 3.9/52%
= 9 years x 52 weeks per year = 468
Value of the investment after 9 years is:
= Amount x ( 1 + rate) ^ no. of periods
= 8,650 x (1 + 3.9/52%)⁴⁶⁸
= 12,285.599
= $12,286
In conclusion, the investment would be worth $12,286.
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*HELP*
Which of the following is the definition of a weighted average?
Group of answer choices
The ratio of the width to the height of a television screen.
a computing error caused by switching two adjacent digits.
an indicator, sign or measure of something.
An average resulting from the multiplication of each component by a factor reflecting its importance.
Answer: an average resulting from the multiplication of each component by a factor reflecting its importance.
Step-by-step explanation:
Answer:
An average resulting from the multiplication of each component by a factor reflecting it's importance.
Step-by-step explanation:
Assuming only one is selectable. Only possible answer doesn't need much explanation I believe.
Calculate the area of the shaded part to 1dp
Answer:
To find the area of the shaded region
A = Area of circle - Area of square
12cm is the diagonal of the square and diameter of the circle.
To find the side of the square,
d = √2 * s
12cm = √2 * s
s = 8.49cm
Area of square = L²
As = (8.49)²
As = 72.1cm²
Area of circle = πr²
r = 6cm
Ac = (π*36)cm²
Ac = 113.1cm²
A = Ac - As
A = 113.1cm² - 72.1cm²
A = 41cm²
The area of the shaded region is 41cm².
Answer: I can't tell from the photo which is the shaded part. I'll answer on the assumption it is either the square in the circle, or the 4 areas defined by the semicircles outside the square, but inside the circle.
Step-by-step explanation: Note the caveat above.
Circle Area = pi*r^2 or (3.14)*(6cm)^2 = 113.1 cm^2
Area of the square: The 12cm line forms an hypotenuse with either side. The sides are all equal, so if x is 1 side, we can say the area is x^2. We also know tha x^2 + x^2 = 12
x^2 = 6 cm^2 (the area of the square)
The two possible answers:
1) Shaded portion is the square: 6 cm^2
2) Shaded area means the 4 semicircles outside the square but within the circle: 113.1 cm^2 - 6 cm^2 = 107.1 cm^2
x ft
x ft
Bedroom
5 ft
Closet
5 ft
6 ft
Bathroom
Answer:
bedroom is 12ft which is equal to 6ft on left of bathroom if we add 6 +6=12 because it is rectangle and bathroom is square and square have 4 equal sides so both sides are 12ft
use a double angle formula to rewrite the expression. 16sin (x) cos (x)
Answer:
8sin(2x).
Step-by-step explanation:
2sin(x)cos(x) = sin(2x)
So 16sin(x)cos(x)
= 8* 2sin(x)cos(x)
= 8sin(2x).
Does anyone know number 5?
Answer:
83 is the right answer.
Step-by-step explanation:
Answer:
10th term=83
Step-by-step explanation:
10th=11+(10-1)
=11+72
=83
How do i solve 2x=-3
i need answer ASAP
Answer:
[tex]x = \frac{-3}{2} \\or \\x = -\frac{3}{2}\\or\\-1.5[/tex]
Step-by-step explanation:
2x = -3
divide 2 from both sides
[tex]x = \frac{-3}{2} \\\\or \\x = -\frac{3}{2}[/tex]
Answer:
x=-1.5
Step-by-step explanation:
1. Divide on both sides to get the x alone; -3 divided by 2 is -.15 or -3/2
Your bank account has in it. You deposit $5 per day.
(a) How much money is in your account after 5 days? Show your work
(b) After you have made all of your deposits, you withdraw $2 a day until your account balance is 0
many days will you withdraw $2? Show your work
Ty’Reese is 12 years old and collects trading cards. He has 972 cards. He wants to put them into albums. Each album holds 36 cards. How many trading card albums will he need?
In the wοrd prοblem, He need 27 albums fοr tοtal trading cards.
What is wοrd prοblem?Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.
Here the given Tοtal number οf cards = 972
Number οf cards each album hοld = 36
Nοw ,Tοtal number οf album
=> Tοtal number οf card / Number οf cards each album hοld
=> 972/36
=> 27.
Hence He need 27 albums fοr tοtal trading cards.
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A square has a area of 121 square centimeters. what is the length of each side
The sum of 24 and 3 times a number y is equal to 56
Answer:
Step-by-step explanation:
24+3y=56 solve for y, subtract 24 from each side
3y=32 divide each side by 3
y=32/3
Answer:
y=32/3
Step-by-step explanation:
let the number be y, then
24+3y=56 solve for y, subtract 24 from each side
3y=32 divide each side by 3
y=32/3
PLEASE HELP DUE IN 10 MINUTES NOBODY WILL HELP IM DESPERATE SO I WILL GIVE BRAINLIEST 5 STARS AND A THANKS JUST QUESTION 2 PLEASE :C IM REALLY SORRY THERE ARE NOT A LOT OF POINTS
Answer:
(6,16)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
x=6, y=16
Solution is (3,10).
Sorry if I'm late
please help me or I'm gonna fail math
Answer:
Step-by-step explanation:
as said in my comment
A: (3x-2)X(x+1)
B: substitute 3 in(if m=meters),
(3x3-2)
9-2
7X(x+1)
3+1
4
7X4
28
Answer:
a) 3x^2 + x - 2
b) 28m
Step-by-step explanation:
a) Since the Area for a normal square is b*l (base x length)
Do the same with this (Using FOIL ig)
(3x - 2) * (x + 1)
3x^2 + 3x - 2x - 2
3x^2 + x - 2
b) Since it's asking us to find out what the number will be while x = 3m, just substitute 3 for every "x" in the answer we got for a
3(3)^2 + (3) - 2
3(9) + (3) - 2
27 + 3 - 2
30 - 2
28m
Therefore the actual area of this rectangle is 28m
HELP PLEASE HELP MEMEEE
Answer:
its 35 feet less
Step-by-step explanation:
but can u take another angled photo
1. Determine the lowest common multiple of 4, 9 and 12
A. 30
B. 36
C. 48
D. 54
2. Simplify 80g : 16kg
A. 4 : 5
B. 3 : 4
C. 2 : 7
D. 1 : 20
3. How many square-shaped tiles with sides of y cm that are required to cover 15y × 4y floor?
A. 60
B. 64
C. 72
D. 86
4. Puan Anis bought 8kg of beef which cost RMx per kilogram. She paid with 2 pieces of RM50 note and received a balance of RM4. Find the value of x
A. 12
B. 14
C. 16
D. 18
5. Find the circumference of a circle with radius of 21 cm
A. 66
B. 44
C. 63
D. 132
6. Anita has RMb. She spent RM(2a + 1) per day for a week. Given the balance of her money is RM45, find a formula for b
A. 2a + 46
B. 14a - 38
C. 14a + 45
D. 14a + 52
7. Given 9x²/y² - 3x = 5w, express y in terms of w and x
A. y = x/5w+x
B. y = 3x/5w+3x
C. y = 3x²/5w+3x
D. y = 3x/5w+x
I NEED ANSWERS FOR THESE QUESTIONS TQ :)
Answer:
a,b,d,d,c,a,a
Step-by-step explanation:
hedllloopp mee and u get brainlist!!!
Answer:
15 cm (make sure to not put value with answer (cm))
Step-by-step explanation:
9x9 = 81
12x12 = 144
81+144 = 225
[tex]\sqrt{225}[/tex] = 15
Answer:
15
Step-by-step explanation:
9^2 + 12^2 = C^2
81 + 144 = C^2
225 = C^2
15 = C
Hope this helps! Pls give brainliest!
There are 5 chaperones for every 14 kids on a field trip. If there are 152 people on the trip, how many of them are adults?
Answer:
there are 40 chaperones and 112 kids.
Step-by-step explanation:
5 chaps. plus 14 kids -- 19 people
152 people divided by 19 -- 8
chaperones = 5 x 8 kids = 14 x 8
According to the following equation, what happened to the carbon and oxygen?
they combined chemically to form a new compound
they combined physically to form a new element
they combined physically to form a new mixture
they combined chemically to form carbon and oxygen
Answer:
b
Step-by-step explanation:
Need help ASAP plz help
Find the sin, cod, tan, sec, and cot of the following triangle with the given information.
Answer:
cos o sin
Step-by-step explanation:
in a toy store, the ratio of action figures to teddy bears 6 to 2. if the store has 320 total toys, how many teddy bears are there in the store?
can anybody help me with this?
Use this graph of f to find the solutions to f(x) = 0.
For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
In the balanced reaction
2 Fe + O₂ → 2 FeO
2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.
Look up the molar mass of Fe and O:
• Fe = 55.845 g/mol
• O = 15.999 g/mol
Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is
(42.4 mol) × (71.835 g/mol) ≈ 3050 g
What is 268 divided by 6 with a remainder
Answer:
264 with a remainder of 4
Step-by-step explanation:
The solution is: 44 is 268 divided by 6 with a remainder 4.
Here, we have,
given that,
268 divided by 6
Given the following mathematical expression;
268 / 6
We would apply the law of division for fractions.
268 / 6
= 268 ÷ 6
= 44 + 4
the remainder is 4
Hence, The solution is: 44 is 268 divided by 6 with a remainder 4.
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3. A cosmetic retailer surveyed 200 customers on which of their top two lipstick shades the
customers preferred. The results are shown in the table. Find the probability of randomly
selecting a customer who prefers the Pretty Pink shade, given they are among the group of 30-
year-olds?
Answer:
.440
Step-by-step explanation:
Based on the number of people in the 30 - 39 age group, the probability of picking one who prefers Pretty Pink is 0.440.
What is the probability of a Pretty Pink preference in 30 - 39?This can be found as:
= Number of 30 - 39 year olds who preferred Pretty Pink / Total number of 30 - 39 year olds surveyed
Solving gives:
= 22 / (28 + 22)
= 22 / 50
= 0.440
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What is the slope of line
Answer:
4
Step-by-step explanation:
(y1-y2)/(x1-x2) = (2-10)/(1-3) = -8/-2 = 4