m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle?
Answer:
m<WYX = 31°; m<WYZ = 59°
The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°.
If ∠WYX and ∠WYZ are complementary, then the sum of the angles ∠WYX and ∠WYZ will be 90°.
Then the equation will be
∠WYX + ∠WYZ = 90°
2x - 7 + 3x + 2 = 90
5x - 5 = 90
5x = 90 + 5
5x = 95
x = 95 / 5
x = 19
Then the measure of the angle ∠WYX will be
∠WYX = (2x − 7)°
∠WYX = (2 × 19 − 7)°
∠WYX = (38 − 7)°
∠WYX = 31°
Then the measure of the angle ∠WYZ will be
∠WYZ = (3x + 2)°
∠WYZ = (3 × 19 + 2)°
∠WYZ = (57 + 2)°
∠WYZ = 59°
The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.
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HELP ASAP!!! A fruit juice company includes 1.117 ounces of orange juice in a 6.25-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT orange juice
Answer:
Image result for 1.117 ounces of orange juice in a 6.25-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT orange juice
In the US, reduced- acid orange juice is marketed to persons with sensitive stomachs. Orange juice concentrate can be bought with different ratios – typical values lie between 14 and 17. Juice acidity is measured using a chemical titration method. Orange juice contains acids that release hydrogen ions (H+) in solution.
Step-by-step explanation:
I need help please, I’m confused!!
Answer:
(-6, 3)
Step-by-step explanation:
If you rotate the coordinates, (2, -3), 90° clockwise around the point, (1, 4), then it will become Point P' at (-6, 3). There isn't a very efficient way to explain this but since Point P is 7 units south and 1 unit east of (1, 4) we need to keep it the same distances away when we turn it 90°. You can use something like parchment paper, record the point you're turning it around, (1, 4), and the point to be turned, Point P at (2, -3). If you rotate it exactly 90° without ever moving the point on (1, 4), Point P should now be at (-6, 3) if that makes sense.
please help me with these questions I am begging anyone please help
(a)• production cost of a wooden cupboard is Rs.30,000.the manufacturer marked the price in order to obtain a 20% profit .if the payment is done outright 2% discount is given
questions
(1) what is the marked price of the cupboard?
(2) what is the outright price of the cupboard?
(3) find the price percentage gained by selling the cupboard for outright price ?
(b)• a furniture seller asks for 5% commission to sell 5 cupboard of Rs.35.000 each find the commission he receives
please help me
Answer:
1)rs.6000
Step-by-step explanation:
1)30 000*20/100=rs.6000
Sorry I don't know the answers for other questions cause I don't know outright price
find the two number whose A.M is 5 and G.M is 4
Answer:
2 and 8
Step-by-step explanation:
let the numbers be x and y , then
[tex]\frac{x+y}{2}[/tex] = 5 ( multiply both sides by 2 ) ← AM
x + y = 10 → (1)
[tex]\sqrt{xy}[/tex] = 4 ( square both sides ) ← GM
xy = 16 → (2)
From (1) , expressing x in terms of y
x = 10 - y ← substitute into (2)
(10 - y)y = 16
10y - y² = 16 ( subtract 16 from both sides )
10y - y² - 16 = 0 ( multiply through by - 1 )
y² - 10y + 16 = 0 ← in standard form
(y - 2)(y - 8) = 0 ← in factored form
Equate each factor to zero and solve for y
y - 2 = 0 ⇒ y = 2
y - 8 = 0 ⇒ y = 8
Substitute into (1)
x + 2 = 10 ⇒ x = 8 or x + 8 = 10 ⇒ x = 2
The 2 numbers are 2 and 8
What is 2 plus 2 equal
Answer:
2 + 2 = 4
Step-by-step explanation:
Logically, the response of 2 + 2 = 4. This is because the sign in the problem is addition. Another way to look it, If we have 2 oranges and have another 2 oranges we have four oranges.
Araba used ⅓of her salary on food and ⅖ on other items. If she saved the remaining amount of 240 cedis, how much is Araba's salary
Answer:
900
Step-by-step explanation:
1/3 + 2/5 = 11/15
4/15 = 240
4/15 x = 240
4x = 3600
x= 900
what will be the decimal expansion of irrational number??
Answer:
the decimal expansion of an irrational number will be non terminating and non recurring
(1+√5)/(3+√5) Surs and need all working as I do not know how to do this at all
[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5}) } \\ [/tex]
[tex] = \frac{(1 + \sqrt{5}) }{(3 + \sqrt{5} )} \times \frac{(3 - \sqrt{5} )}{(3 - \sqrt{5}) } \\ [/tex]
[tex] = \frac{1(3 - \sqrt{5}) + \sqrt{5} (3 - \sqrt{5} )}{ ({3})^{2} - { (\sqrt{5} })^{2} } \: \: [∵ {a}^{2} - {b}^{2} = (a + b)(a - b) ]\\ [/tex]
[tex] = \frac{3 - \sqrt{5} + 3 \sqrt{5} - 5 }{9 - 5} \\ [/tex]
[tex] = \frac{ - 2 + 2 \sqrt{5} }{4} \\ [/tex]
[tex] = \frac{2( - 1 + \sqrt{5} )}{4} \\ [/tex]
[tex] = \frac{ - 1 + \sqrt{5} }{2} \\ [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{}}}}}[/tex]
For the functions below, calculate the indicated function values.
(1 Point)
f (x) = x 8(x) = 5x - 12 h (x) = x2 + 4x - 7
Find f (10)
A. 10
B. 12
C. 38
Help!?
Answer:
10
Step-by-step explanation:
f(x)=x
subtitute 10 in the place of x:
f(10)=10
please someone help me I will mark you has brainiest
Answer:
i angle EFB
ii BFC and AFC
Step-by-step explanation:
Answer:
i .angle AFC
iiAFC and AFB
Does #7 look right? Im struggling on this
In a school library, 40% of the books are in Nepali language, 40% of the remaining books are in English and the remaining books are in regional languages. If the number of books in English language is 4800, find the total number of books in the library,
Step-by-step explanation:
Solution,
Let the total number of books be x, then
Books in English language=4800
40% of x=4800
40/100×x=4800
40x/100=4800
40x=4800×100
40x=480000
x=480000/40
x=12000
So the total number of books in the library is 12000.
help plz ^^^^^^^^^^!!!!!!!
Answer:
refer pic
sorry for messy handwriting
hope it help u and i appreciate if you give brainliests, thanks
pls help finding X
thank you if u do (Pls do not spam i have this in my test so need to learn)
Answer: x= 26
Step-by-step explanation:
27+x+127 = 180(being linear pair)
or, x + 154 = 180
or, x = 180-154
so, x = 26
Answer:
26
Step-by-step explanation:
Here,
27+ 127+ x =180
154+ x = 180
x =180-154
x=26
hope it is helpful
Algebra
I need to work this out help me please
Please solve all 6 questions and show work... I will mark you brainliest and rate you five stars
Answer:
17.
9x - 2 = 8x + 6 (opposite angles on the transversal)
9x - 8x = 6+2
x = 8
18.
-5 + 21x + 15x +5 = 180 (angles on the same side of transversal add up to 180)
36x = 180
x = 180/36
x = 5
19.
9x + 4 + 95 = 180 (angles on the same side of transversal add up to 180)
9x + 99 = 180
9x = 180-99
9x = 81
x = 81/9
x = 9
20.
16x - 2 = 110 (opposite angles on the transversal)
16x = 110 +2
16x = 112
x = 112/16
x = 7
21.
29x + 4 = 31x -4 (opposite angles on the transversal)
4 + 4 = 31x - 29x
2x = 8
x = 8/2
x= 4
22.
12x + 2 + 6x + 16 = 180(angles on the same side of transversal add up to 180)
18x +18 = 180
18x = 180-18
18x = 162
x = 162/18
x = 9
How many cups of 15% juice
must be added to 10 cups of
20% juice so that the mixture is
17% juice?
Answer:
15 cupsStep-by-step explanation:
20% of juice has:
10*0.2 = 2 cups of extractIf x cups of juice added we'll have:
2 + x*0.15 = 0.17(10 + x)2 + 0.15x = 1.7 + 0.17x0.17x - 0.15x = 2 - 1.70.02x = 0.3x = 0.3/0.02x = 15Use properties of real numbers to write the expression without parentheses. 6(x + y)
[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]
[tex]\\ \sf\longmapsto 6(x+y)[/tex]
[tex]\\ \sf\longmapsto 6(x)+6(y)[/tex]
[tex]\\ \sf\longmapsto 6x+6y[/tex]
Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?
Answer:
1/4 chance
Step-by-step explanation:
First you need to find the probability of Tess choosing a red ribbon.
1/2
Then you need to multiply that probability by the reciprocal of 2, which is 1/2
1/2 x 1/2 = 1/4
I will give brainiest whoever is right thanks :)
which line has a slope of -3/4 and a y-int of 3/2? see photos
Answer: Self Guidance. A slope of -3/4 and a y intercept doesn't look like any of them
Step-by-step explanation:
A slope of -3/4 and a y-intercept of 3/2 looks like this. After, maybe you can try it on your own. Hope this helps
Baseball is a field of dreams
Answer:
the answer is b
Step-by-step explanation:
i did this alrdy
what is 9 subtracted from x
Answer:
x - 9
Step-by-step explanation:
Answer:
bguiyhvulcvougtjglctvtgulvugtfvufygbgl
Step-by-step explanation:
What is the ratio 1.6 kg: 120g lowest term?
Answer:
40:3
Step-by-step explanation:
1.6kg:120g
1600g:120g
1600:120
160:12
80:6
40:3
Fred's health insurance premium is $4635 annually.
If his employer pays 80% and he is paid monthly, how much is deducted from each monthly check?
Answer: $ 927
Step-by-step explanation:
20% is deducted from his check.
20/100 = x/4635 (cross multiplication)
= $927
The deducted amount for each month will be $77.25.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Fred's health insurance premium is $4635 annually.
And, His employer pays 80% and he is paid monthly.
Now,
Since, His employer pays 80% and he is paid monthly.
Hence, The percent of deducted salary = 20%
So, The deducted amount of each month = 20% of $4,635 / 12
= 20/100 × 4635 / 12
= $927 / 12
= $77.25
Thus, The deducted amount of each month = $77.25
Learn more about the percent visit:
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If f(x) = -8 - 5x, what is f(-4)
Answer:
f(- 4) = 12
Step-by-step explanation:
To evaluate f(- 4) substitute x = - 4 into f(x) , that is
f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12
f(x)=-8-5x
[tex]\\ \rm\longmapsto f(-4)[/tex]
Put -4 inplace of x[tex]\\ \rm\longmapsto -8-5(-4)[/tex]
[tex]\\ \rm\longmapsto -8+20[/tex]
[tex]\\ \rm\longmapsto 12[/tex]
Find an expression which represents the sum of (8x + 10y) and (-4. – 3y) in
simplest terms.
Answer:
Submit Answer
attempt 1 out of 2
What is (x)
9.4x+17.5
Answer: x=1.8617
Step-by-step explanation: 9.4x+17.5 9.4x/9.4=17.5/9.4 x=1.8617
Tom purchased a basketball game for $9.09, and a Pokemon game for $13.96
vith two $20 bills. How much change did Tom get?
Hello :D
2 x $20 = $40
$9.09 + $13.96 = $23.05
$40.00 - $23.05 = $16.95
The answer is $16.95. I hope this helps :)