Answer:
Step-by-step explanation:
7x + 14 = 8.4x
14 = 1.4x
x = 10 hours
Each works 10 hours. Their total is 84 dollars each.
Congruent Triangle Combination
Answer:
1) ΔABC ≅ ΔDBC by Side-Angle-Side (SAS)
2) ΔABC ≅ ΔCDB by Side-Side-Side (SSS)
3) ΔABC ≅ ΔDBE by Angle-Angle-Side (AAS)
4) m∠Y = 53°
5) y = 3
6) ΔABC ≅ ΔEDC by Side-Angle-Side (SAS)
7) ΔABC ≅ ΔADC by Angle-Angle-Side (AAS)
8) ΔABC ≅ ΔADC by Side-Angle-Side (SSS)
Step-by-step explanation:
1) Side AC ≅ Side BD [tex]{}[/tex] given
Side BC ≅ Side BC [tex]{}[/tex] reflexive property
∠DBC ≅ ∠ACB [tex]{}[/tex] given
Therefore ΔABC ≅ ΔDBC by Side-Angle-Side (SAS)
2) Side AC ≅ Side BD [tex]{}[/tex] given
Side DC ≅ Side BA [tex]{}[/tex] given
Side BC ≅ Side BC [tex]{}[/tex] reflexive property
Therefore, ΔABC ≅ ΔCDB by Side-Side-Side (SSS)
3) ∠BAC ≅ ∠DEB [tex]{}[/tex] given
Side BC ≅ Side BD [tex]{}[/tex] given
∠ABC ≅ ∠DBE [tex]{}[/tex] vertically opposite angles
Therefore, ΔABC ≅ ΔDBE by Angle-Angle-Side (AAS)
4) ΔXYZ ≅ ΔABC [tex]{}[/tex] given
m∠A = 44°, and m∠C = 83°
m∠B = 180 - (44 + 83) = 53° [tex]{}[/tex] Sum of angles in a triangle
m∠Y = m∠B = 53° [tex]{}[/tex] Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
5) Given that Triangle GHK is congruent to Triangle TZK
GH ≅ XT, KG ≅ KT, and HK ≅ ZK by the definition of congruency
Therefore, GH = 4 = XT = 3y - 2
4 = 3y - 2
3y - 2 = 4
3y = 4 + 2 = 6
y = 6/2 = 3
y = 3
6) Side BC ≅ Side EC [tex]{}[/tex] given
Side AC ≅ Side DC [tex]{}[/tex] given
∠ACB ≅ ∠DCE [tex]{}[/tex] vertically opposite angles
Therefore, ΔABC ≅ ΔEDC by Side-Angle-Side (SAS)
7) ∠BAC ≅ ∠DAC [tex]{}[/tex] given
∠ADC ≅ ∠ABC [tex]{}[/tex] given
Side AC ≅ Side AC [tex]{}[/tex] reflexive property
Therefore, ΔABC ≅ ΔADC by Angle-Angle-Side (AAS)
8) Side AD ≅ Side BC [tex]{}[/tex] given
Side AC ≅ Side AC [tex]{}[/tex] reflexive property
Side AB ≅ Side DC [tex]{}[/tex] given that the included angle between the two legs side AD and side AC and side AC and side BC are both acute, the third sides side AB and side DC are equal
Therefore, ΔABC ≅ ΔADC by Side-Angle-Side (SSS)
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
0.7 cm and 2 cm
O 8 cm and 9 cm
Answer:
8cm and 9cm
Step-by-step explanation:
8 + 4a I need an answer pronto this was the one part of math I was taught the least.
a=1/2
Answer:
Q.1 - 10
Q.2 - −54
Step-by-step explanation:
Triangle has side lengths 2, 3, and 4.
Triangle has side lengths 4, 5, and 6.
Is Triangle similar to Triangle?
Answer:
I think no
Step-by-step explanation:
I would say no because they would all have to be the same. 2/4= 1/2 so all the side lengths would have to divide into one half, and they don't
Of the smoothie sold yesterday at Isaac's smoothie shop 1/4 we're banana and another 2/3 were strawberry What fraction of smoothies were either banana strawberry?
Answer:
11/12
Step-by-step explanation:
Fraction of smoothie that is Banana = 1/4
Fraction of smoothie that is strawberry = 2/3
The fraction of smoothies that were either banana or strawberry
= 1/4 + 2/3
Least Common Denominator= 12
= (3 × 1 + 2 × 4)/12
= 3 + 8/12
= 11/12
The fraction of smoothies were either banana or strawberry is 11/12
Estimate to the nearest integer.
21
O 3
O 4
O 5
Answer:
5
Step-by-step explanation:
So the square root of 21 is 4.582...
If you round 4.582.. it is 5
Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.
Hope this helps ya!!
Solve for x: 8(3x-6)=6(4x+8)
Answer: there are no values of x that make the equation true .
So the answer is there is: No solution
Step-by-step explanation:
30 POINTS What is the answer????
Answer:
Step-by-step explanation:
the third i think
Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x, y) → (–x, –y)?
C
Image for proof, dude above got it first.
Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax $80.00 6% ?
Answer:
sales Tax = 4.8
total cost = 84.8
Step-by-step explanation:
80.00 * 6% = 80.00 * 0.06 = 4.8
Answer:
Sales tax: 4.80 Total costs: 84.80
Step-by-step explanation:
Price x sales tax rate = sales tax
80 x .06(6%) = 4.80
price + sales tax = total costs
80 + 4.80 = 84.80
In a parking lot with 600 Japanese, European and American cars, 50% are American. There are 30 fewer Japanese cars than American cars . How many more Japanese cars are there than European cars?
Which descriptions match the given transformations?
Drag and drop the answer into the boxes.
Answer:
f(z) is translated 3.5 units left.
Write an equation in the form that makes the most sense for the information given. Since the beginning of fall, the little tree in front of Mrs. Wenger's house loses 12 more leaves everyday. After 5 days, it had only 208 leaves remaining.
Answer:
0 = 208 - 12x
Step-by-step explanation:
Since after 5 days the tree only had 208 leaves remaining, assuming that the rate of decay is constant, we can use the following equation to calculate the total number of days (starting at the 5-day mark as 0) until the tree loses all of its leaves. In this equation, the total number of days is represented by the variable x.
0 = 208 - 12x
Now that we have the equation we can solve it...
0 = 208 - 12x ... subtract 208 on both sides
-208 = -12x ... divide both sides by -12
17.33 = x
Finally, we can see that after 18 days (not 17.33 because we are counting full days) the tree will have lost all of its leaves.
ANSWER PLEASE FOR ME
which of the following quadrilaterals are always parallelogram? select all that apply
Answer: square, rectangle and rhombus
Step-by-step explanation:
Is the ratio 4 to 7 the same as 7 to 4 ?
Answer:
uhhhhh Expressed as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the answer would be 7/4. Two other ways of writing the ratio are 7 to 4, and 7:4.
Step-by-step explanation:
just math
Answer:
Yes because it doesn´t matter how you write a ratio
Step-by-step explanation:
Because it doesn´t matter how you write a ratio
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
-12
Step-by-step explanation:
Each dash is +-4
What is the binary number for 18
Answer:
69
Step-by-step explanation:
Answer:
10010 that's the answer
In a certain chemical, the ratio of zinc to copper is 4 to 13. A jar of the chemical contains 286 of copper. How many grams of zinc does it contain?
Answer: It contains 88 g of zinc.
Step-by-step explanation:
Given: The ratio of zinc to copper is 4 to 13.
Ratio can be written as [tex]\dfrac4{13}[/tex]
A jar of the chemical contains 286 g of copper.
Let the quantity of zinc be x.
By using the direct proportion rule:[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
[tex]\dfrac{x}{286}=\dfrac{4}{13}\\\\ x=\dfrac{286\times4}{13}\\\\\Rightarrow\ x=88[/tex]
Hence, It contains 88 g of zinc.
A 5-foot piece of aluminium wire costs $21.00. What is the price per inch?
The answer would be .35 cent.
Answer:
The price per inch is $0.35
Step-by-step explanation:
First you have to convert 5 feet into inches.
5·12= 60.
Then, divide the 21 by 60.
21/60 = 0.35
In conclusion, it costs $0.35 per inch.
If a florist uses 100 roses to make 5 identical flower arrangements, how many roses would the florist use to create 4 identical arrangements
Answer:
80 roses
Step-by-step explanation:
Divide 100 by 5 to find the unit rate, which is 20 roses for every flower arrangement. Multiply 20 by 4 to find how many roses the florist would use for 4 arrangements.
Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours, what equation could be used to determine how long it will take bonnie to do the job alone
Answer:
Step-by-step explanation:
Let the number of hours Nick does the job alone to be x - 3 hours
Hence, in 1 hour, Nick has done 1/x - 3
Together they complete the job in 9 hours
Hence, let's represent the job as 1
9/x + 9/x - 3 = 1
Multiply through by (x)(x-3)
9(x- 3) + 9(x) = 1
9x - 27 + 9x = (x)(x-3)
-27 = x² - 3x
x² - 3x +27 = 0
15.2·0.25−48.51÷14.7/x = ( 13/44 − 2/11 − 5/66 ÷2 1/2 )·1 1/5 / 3.2+0.8·(5 1/2 −3.25)
Plz answer soon. I need it urgently. Need by today. Will give 15 points.
Answer:
x = 25
Step-by-step explanation:
15.2 * 0.25 - 48.51 ÷ 14.7 = 76/5 * 1/4 - 3.3 = 3.8 - 3.3 = 0.5
(13/44 - 2/11 - 5/66 ÷ 2 1/2) * 1 1/5 = (13/44 - 8/44 - 5/66 * 2/5) * 6/5 = (15/132 - 4/132) * 6/5 = 11/132 * 6/5 = 1/12 * 6/5 = 1/10
3.2 + 0.8 * (5 1/2 - 3.25) = 3.2 + 4/5 * (22/4 - 13/4) = 3.2 + 9/5 = 3.2 + 2.8 = 5
So after doing all this simplifying and stuff we get 0.5/x = 0.1/5. Using the butterfly method the result is 0.1x = 2.5, multiply both sides by 10 and you get x = 25!! Yayy lol
You purchased a computer for your business for $800 using straight line depreciation, the amount of depreciation allowed for each year after the purchase is given by the function f(x)= 800-114.29X what type of function can you used to model the data?
Answer:
this is a linear function
Step-by-step explanation:
y = a + bx
in this case:
y = 800 - 114.29x
where:
y = accumulated depreciation
x = number of years
year accumulated
(x) depreciation (y)
0 0
1 114.29
2 228.58
3 342.87
4 457.16
5 571.45
6 685.74
7 800
Please help helpppppppppp it’s 7to10
Answer:
whats the question? 7to10 is not enough info for me
Step-by-step explanation:
Answer:
what's the question...
Gabriel is deciding between two different movie streaming sites to subscribe to. Plan A costs $8 per month plus $2.50 per movie watched. Plan B costs $24 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Gabriel watches xx per month, and let BB represent the monthly cost of Plan B if Gabriel watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if Gabriel plans on watching 6 movies each month
Answer:
A= 2.50x+82.50x+8
B= 0.50x+240.50x+24
Step-by-step explanation:
Plan A is $4 cheaper than Plan B when watching 6 movies.
A submarine dives below the surface, heading downward in five moves. If each move downward was 200 feet, where is the submarine after it is finished diving?
Given:
A submarine dives below the surface, heading downward in 5 moves.
Each move downward = 200 feet
To find:
The location of submarine after it is finished diving.
Solution:
According to the question,
1 move downward = 200 feet
5 move downward = 5 × 200 feet
= 1000 feet
Since, the submarine heading downward in 5 moves, therefore the submarine is 1000 feet downward after it is finished diving.
pls help meh
solve equation:
5199x=399x
x both have to be the same number and they have to equal
Answer:
x=0
Step-by-step explanation:
i googled it
To adopt a dog from an animal shelter you must pay 80$ for vaccinations 65 to spay or neuter the dog and 50 for wellness exam
the first answer gets brainliest whether it's right or wrong :)
Answer:
1 :)
Step-by-step explanation:
8 x 7=56
7 x 1=7