Answers
Answer:
x=28
m<ACD=68°
Step-by-step explanation:
2x+(180-124)+(180-4x)=180
-2x+236=180
-2x=180-236
-2x=-56
x=28
m<ACD=180-4x=180-4(28)=180-112=68
Answer:
The answer is <ACD = 68°
Step-by-step explanation:
Using the property that the sum of interior angles in a triangle is equal 180°,we have:
<DAC + <ACD + <ADC = 180°
[tex]2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28[/tex]
Finally, calculating the angle <ACD, we have:
<ACD = 180 - 4x
<ACD = 180 - 4 . 28
<ACD = 180 - 112
ACD = 68°
Related Questions
Someone please help with these and explain your answer for both!!! I will give brainliest if correct!!!
Answers
Answer:
C
Step-by-step explanation:
We have congruent angles in the middle and 2 sides are congruent as well which makes (Angle-Side-Side) which doesn't work for congruent triangles.
C. is the answer
2 givens and then we have CB = CB which is the reflexive property. I haven't heard of (definition of midpoint) but as long as there aren't any more answers except the 3 shown above it should be correct.
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
$1105
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 6500 × 0.0425 × 4 = 1105
I = $ 1,105.00
The simple interest accumulated
on a principal of $ 6,500.00
at a rate of 4.25% per year
for 4 years is $ 1,105.00.
The interest in dollars and cents did the account earn should be considered as the $1,105.
Calculation of the interest in dollars:Since deposited amount is $6,500
The interest rate should be 4.25%
The time period is 4 years
So here the interest should be like
= ($6,500) (4.25%) (4)
= $1,105
hence, The interest in dollars and cents did the account earn should be considered as the $1,105.
Learn more about interest rate here: https://brainly.com/question/24656271
plzzzz helppp I need answer
Answers
Answer:
[tex] \huge \: 250 \: mL[/tex]
Step-by-step explanation:
tips and formulas:1 L=1000mLgiven:amount:1 L 500mLdistributed in 6 glasseslet's solve:1 L =1000 mL
1L 500 mL =1000+500 mL
=1500 mL
juice in 6 glasses 1500 mL
juice in 1 glass 1500÷6 mL
=250 mL
two angles of a triangle measure 29 degrees and 12 degrees what is the measure of the third angle?
Answers
Answer:
The measurement of the third angle would be 139 degrees.
Step-by-step explanation:
Using the triangle sum theorem, you already know that all interior angles of a triangle add up to 180 degrees. So since you already have two angle measurements, all you have to do is add them together and subtract them from 180 degrees. In this case it is 29+12, which equals 41. Now you subtract that from 180 and get 139.
I hope this helps!
You want to purchase multiple books on sale for $6.30. The sales tax is 5% and you have $20. At most, how many books can you buy?
Answers
Answer:
3 books
Step-by-step explanation:
Assume x is the number of books you could buy.
(1+0.05)(6.3x) ≤ 20
1.05(6.3x) ≤ 20
6.615x ≤ 20
x ≤ 3.02
Answer:
the awnser is 3 books yiu can buy
Andy is buying a car
he negotiated a 7% decrease on a £6 500 car
he will pay the full balance in 12 equal month payments
calculate the amount paid each month
Answers
Answer:
£503.75 per month
Step-by-step explanation:
7% decrease on a £6,500 car
= 7% of 6,500
= 7/100 * 6,500
= 0.07 * 6500
= £455
Amount of the car = £6,500 - £455
= £6,045
he will pay the full balance in 12 equal month payments
Amount paid each month = £6,045/12 months
= £503.75 per month
Answer:
7% decrease on a £6,500 car
= 7% of 6,500
= 7/100 * 6,500
= 0.07 * 6500
= £455
Amount of the car = £6,500 - £455
= £6,045
he will pay the full balance in 12 equal month payments
Amount paid each month = £6,045/12 months
= £503.75 per month
Step-by-step explanation:
2 x + 6 = 10
solve for x
Answers
Answer:
x=2
Step-by-step explanation:
2x2=4
4+6=10
Answer:
x=2
Step-by-step explanation:
with questions like this do the inverse
10-6=4
4÷2=2
2=x
i hope this helped xx
Eve took one of her friends out to lunch. The lunches cost $100 and she paid 3% sales tax. If
Eve left a 15% tip on the $100, how much in total did she pay?
Answers
Tax: 3% = 3/100= 0.03
So 0.03 X $100 = $3 in tax
Tip: 15% means 15/100 = 0.15
0.15 X 100 = $15
So tax was $3, tip was $15, and bill was $100, all added up is $118
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
Answers
Factorise x + 5x + 6
Answers
Answer:
6x+6
Step-by-step explanation:
Combine like terms:
x + 5x +6
6x+6
Then factorise:
6(x+1)
1 Jesy invests £8000 for n years in a savings account.
To find the value, V, of her investment after n years she uses the formula:
V = 8000 × (1.025)n
(a) Write down the annual rate of interest Jesy earns.
(b) Find the total amount of interest Jesy earns in three years.
(Total for question 1 is 3 marks)
Answers
Answer:
2.5% , $8608
Step-by-step explanation:
Given data
From the given the expression V = 8000×(1.025)^n
The rate is given as
2.5%
For n= 3
The total amount is
V = 8000 × (1.025)^3
V= 8000*1.076
V= $8608
Hence the final amount is $8608
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Answers
Answer:
there is the answer let me now if i was right
Step-by-step explanation:
A coach buys a uniform and basketball for each of the 15 players on the team. Each
basketball cost $9.50. The coach spends a total of $450 for uniforms and basketballs.
What is the cost, in dollars, of each uniform?
$
Answers
Uniforms: $20.5
450 divided by 15 = 30
Each person on the basketball team got $30 worth of stuff.
If the basketball cost $9.50: 30-9.50=20.5
This means that each of the uniforms are $20.5
Hope this helps! Have a great day :)
if you know what’s going on pls help thanksss
Answers
basically u are representing the graphs below in symbols and words if that makes any sence
Answer:
1. > less than
2. =< (I can't find the symbol for this but a line should be under the < and thats it) Greater than or equal to
3. < greater than
4. >= less than or equal to
Hola me podrían ayudar por favor. Convertir las fracciones a decimales y ubicar a los decimales en la recta numérica. a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 d. -7/4
Answers
Answer:
Step-by-step explanation:
a decimal
2/3 = 0.7
8/5 = 1.6
-5/2 = -2.5
7/4 = 1.8
9/2 = 4.5
-11/3 = -3.7
13/5 = 2.6
-7/4 = -1.8
Esto es solo un bosquejo del número, usando un gráfico, use 0.1 para una unidad en la recta numérica.
- ________________________________________________________ +
| | | | | | | | | | | | | | | | | | |
-5 -4 -3.7 -3 -2.5 -2 -1.8 -1 0 0.7 1 1.6 1.8 2 2.6 3 4 4.5 5
In the accompanying diagram of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 25 and CB = 10, what is the length of DB? (if you don’t know dont answer)
Answers
Answer:
The answer is 15
Step-by-step
if that didnt work sorry
Evaluate 52. Check all that apply.
The base is 5.
The exponent is 2.
The expanded form is 2 × 2 × 2 × 2 × 2.
The expanded form is 5 × 5.
52 = 25
52 = 32
Answers
Answer: a, b, d, e
Step-by-step explanation: just got it right on edge 2021
Answer:
a,b,d,e
Step-by-step explanation:
Maggie is trying to find the best deal to buy bags of potato chips. Option A: $0.90 for 9 bags of chips Option B: $0.84 for 7 bags of chips Option C: $1.50 for 5 bags of chips Which option is the better deal?
A
Option A
B
Option B
C
Option C
Answers
Answer:
The answer is option A. Since you would be paying 0.10 for each bag.
The solution is Option A.
The best deal for Maggie to buy the bag of potato chips would be 9 bags for $ 0.90 because each bag cost $ 0.10
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 cost of each bag be represented as A
Now , the equation will be
a)
$0.90 for 9 bags of chips
The cost of 9 bags = $ 0.90
The cost of 1 bag A = The cost of 9 bags / 9
Substituting the values in the equation , we get
The cost of 1 bag A = 0.90 / 9
On simplifying the equation , we get
The cost of 1 bag A = $ 0.10
b)
$0.84 for 7 bags of chips
The cost of 7 bags = $ 0.84
The cost of 1 bag A = The cost of 7 bags / 7
Substituting the values in the equation , we get
The cost of 1 bag A = 0.84 / 7
On simplifying the equation , we get
The cost of 1 bag A = $ 0.12
c)
$1.50 for 5 bags of chips
The cost of 5 bags = $ 1.50
The cost of 1 bag A = The cost of 5 bags / 5
Substituting the values in the equation , we get
The cost of 1 bag A = 1.50 / 5
On simplifying the equation , we get
The cost of 1 bag A = $ 0.30
Therefore , the 0.10 < 0.12 < 0.30
Hence , the cost of $0.90 for 9 bags of chips is the best deal
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
additive inverse of 3x - 6.
Answers
Answer:-3
Step-by-step explanation:
If x= -3 is one solution of x2 + 9x + 18, what is the other solution?
Answers
So x=-6 or x=3
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
Answers
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
7. Which set of ordered pairs represents a function?
A) {(-2,1),(-1,0). (1,-1), (2,-2), (3,-3)}
B) {(-2,57, (-2,5), (-2,7),(-2,9), (-2,11)}
C) {(1,5), 7,2), (9,1), (9,7), (2,7)}
D) {(-4,0), (-2,1),(0,2), (-2,4), (-4,6)}
Answers
Answer:
a
Step-by-step explanation:
to be a function, every x has to have exactly one y, so there can't be the same number x twice wirh different y's
PLEASE I NEED HELP!
which is the simplified rational expression for r^2-4r+5/r-4 - r^2+2r-8/r-4
C is incorrect!
Answers
Answer:Complete the statements.
When r = 2, the first expression is . 6
When r = 2, the second expression is 6.
When r = 5, the first expression is 21.
When r = 5, the second expression is .
The expressions are not equivalent. 12
Step-by-step explanation:
i got it right on e d g e n u i t y
Step-by-step explanation:
6x+9=-12
Can someone help me with this question
Answers
Answer:
-7/2
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
Hope it helps
Please help me???????
Answers
Answer:
i can't see it
Step-by-step explanation:
Looking for someone who can take a look at this question for me:
Answers
7 red balls
8 red balls
1 yellow ball
Hope this helps have a good day! :)
Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans. He pays with a £10 note and gets 80p change. How much does a tin of beans cost in pounds, £?
Answers
Answer:
£0.8
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
Hence,
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.6 / 2
x = 0.8
Hence, a tin of baked beans cost £0.8
Answer:
£0.80
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
lol
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.60 / 2
x = 0.80
YES WE GOT IT, a tin of baked beans cost £0.80
Point (1,3) Slope: 2
Answers
Answer:
y=2x+1
Step-by-step explanation:
(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1
Joe is straight into running a half marathon in too much this week he ran 1,200,000 km on Monday 2400 m on Wednesday and 4.6 km on Friday what is the total distance in kilometer that he ran this week
Answers
Answer:
1202404.6
Step-by-step explanation:
1,200,000 + 2400 =1202400
1202400 + 4.6 = 1202404.6
3 1/3 x 3 =??
Not quite understanding
Answers
Answer:
10
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
3 1/3 * 3 = 10