Answer:
∠YDC measures 140°.
Step-by-step explanation:
We can consider using the Exterior Angle Theorem. According to the theorem, the exterior angle of a triangle is equal to the two opposite interior angles.
In other words:
[tex]\displaystyle m \angle YDC = m\angle DCB + m\angle CBD[/tex]
Substitute:
[tex]\displaystyle (15x + 5) = (80) + (6x+6)[/tex]
Solve for x. Combine like terms:
[tex]15x + 5 = 6x + 86[/tex]
Simplify:
[tex]9x = 81[/tex]
And divide. Hence, the value of x is:
[tex]x = 9[/tex]
∠YDC is given by:
[tex]\displaystyle m\angle YDC = 15x + 5[/tex]
Since we now know the value of x, substitute and evaluate:
[tex]\displaystyle \begin{aligned} m\angle YDC &= 15x + 5 \\ &= 15(9) + 5 \\ &= 135 + 5 \\ &= 140^\circ\end{aligned}[/tex]
In conclusion, ∠YDC measures 140°.
Joy drinks 4 bottles of water per day. Each bottle contains
16.5 fluid ounces. How many fluid ounces of water does
she drink per day?
a) 66 fluid ounces
b) 68 fluid ounces
c) 660 fluid ounces
d) 680 fluid ounces
Answer:
A) 66
Step-by-step explanation:
I have no explanation to this but hope it's help
Answer:
a) 66 fluid ounces
Step-by-step explanation:
it's easy
all you have to do is multiply the amount of bottles Joy drinks in a day (in this case 4) with the amount of fluid ounces contained in each bottle she's drinking (in this case 16.5)
so in other words
4 x 16.5 = 66
Please send me an answer sheet for this paper.
Answer:
Q.1. x=8-5
x=3
Q.2. -3x=16-7
-3x=9
x=-9/3
x=-6
Q.3. 3p=6*7
3p=42
p=42/3
p=16
Q.4. 2(x+5)=24
2x+10=24
2x=24-10
2x=14
x=14/2
x=7
Step-by-step explanation:
For Q1.
1. x + 5 = 8
x = 8 - 5
x = 3
2. -3x + 7 = 16
-3x = 16 - 7
-3x = 9
x = 9/-3
x = -3
3. 3P/7 = 6
3P = 6*7
3P = 42
P = 42/3
P = 14
4. 2(x + 5) = 24
2x + 10 = 24
2x = 24 - 10
x = 14/2
x = 7
5. x/5 - 8 = 9
x/5 = 9 - 8
x = 5
For Q.2:
1. 12 + 4(x + 3(x + 4)) = 108
12 + 4(x + 3x + 12) = 108
12 + 4x + 12x + 48 = 108
60 + 16x = 108
6x = 108 - 60
x = 48/6
x = 8
2. 5x + 7(4 - (x + 3)) = 31
5x + 28 - x + 3 = 31
6x + 31 = 31
6x = 0
x = 0
3. 2(3y - 2(y + 5) + 3) = -4
2(3y - 2y + 10 + 3) = -4
2(y + 13) = -4
2y + 26 = -4
2y = 30
y = 15
4. 20 - 2(2x -(2 - x) + 10) = -44
20 - 2(2x - 2 + x + 10) = -44
20 - 2(3x + 8) = -44
20 - 6x - 16 = -44
4 - 6x = -44
-6x = -44 - 4
-6x = -48
x = -48/-6
x = 8
5. 5(3x - 4(x + 2) + 5(2x + 1)) = 60
5(3x - 4x - 8 + 10x + 5) = 60
5(3x - 4x + 10x - 8 + 5) = 60
5(9x - 3) = 60
45x -15 = 60
45x = 60 + 15
x = 75/45
x = 1.67
For Q.3:
1. x/2 + x/3 = 10
(3x + 2x)/6 = 10
5x/6 = 10
5x = 60
x = 12
2. 1/3(2x/7 - 1) = 3
1/3(2x - 7/7) = 3
2x - 7/7 = 3/(1/3)
2x - 7/7 = 1
2x - 7 = 7
2x = 14
x = 7
3. (P + 2/2) + ( 2P - 6/4) = 5
(2P + 4 + 2P - 6)/4 = 5
(4P - 2)/4 = 5
4P - 2 = 20
4P = 22
P = 5.5
4. x/3 - (2x + 1)/3 - (x - 3)/5
(x - 2x + 1)/3 - (x - 3)/5
(1 - x)/3 - (x - 3)/5
(5 - 5x - 3x - 9)/15
(-8x - 4)/15
5. (y - 2)/3 + (2y + 5)/5 - (y + 7)/3
5/3 + (2y + 5)/5
(25 + 6y + 15)/15
(40 + 6y)/15
What is the product?
-1
Answer:
3.(-2/0) this is your answer
kendra revived a bonus that was 30%of her monthly earnings is her monthly earnings were 930 how much was kendras bonus
Hey there! I'm happy to help!
30% is the same thing as 0.3 because 0.3 is 30% of 1. If you multiply something by 1, it will just stay the same, so you need that percent of 1.
To convert a decimal to a percent, you move the decimal to the left two spaces.
Now, we simply multiply this by 930.
0.3×930=279
So, Kendra will receive a bonus of $279.
Have a wonderful day and keep on learning! :D
The ratio of boys to girls in a college marching band is 5:6. If there are 121 total students in this band, how many boys are in the band?
Answer:
Step-by-step explanation:
The ratio of boys to girls in the band is 5:6 and there are a total of 121 people.
We can call each bit of the ratio 'parts'.
So, there are a total of 5+6=11 parts in total, and there are a total of 121 people.
Therefore, each part of the ratio is equal to 121 ÷ 11 = 11.
Since there are 5 parts assigned to the number of boys in the band, then the total number of boys in the band is equal to 11 × 5, which is equal to 55 boys.
A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.
Answer:
2.02 yards per second
Step-by-step explanation:
Distance/time= Average speed or speed
50yard/ 24.76sec= 2.01938 yards per second ~ 2.02 yards per second
ALGEBRA 1 MATH PLEASE HELP !!!
Answer:
|x + 2|
Step-by-step explanation:
Translating to the left and right has the number on the inside with the variable. Adding goes left and subtracting goes right.
(if you want an explanation on why it's opposite like that then just comment)
Help asapShape A is congruent to shape ____because a 180° rotation about the origin and then a translation unit(s) right maps shape A onto it.
Shape B is congruent to shape____ because a 90° clockwise rotation about the origin and then a translation unit(s) left maps shape B onto it.
Answer:
Shape A is congruent to shape D and has been translated 2 units to the right
Shape B is congruent to shape E and translated 1 unit to the left.
Step-by-step explanation:
Shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The shapes are given in the picture.
From the definition of congruency; congruent figures are those that are exactly the same size and shape. Congruent is represented by the symbol ≅.
Form A has been translated into two units to the right and is congruent with shape D.
Form B is translated one unit to the left and congruent to shape E.
Thus, shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ2
Given the points X(-9, 2) and Y(5, -4), find the length of XYXY. Round to the nearest hundredth.
Answer:
15.23
Step-by-step explanation:
the length of XY =√(5+9)²+(-4-2)²
=√14²+(-6)²
=√196+36
=√232
= 15.23
[tex]\\ \rm\longmapsto XY=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{(5+9)^2+(-4-2)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{(14)^2+(-6)^2}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{196+36}[/tex]
[tex]\\ \rm\longmapsto XY=\sqrt{232}[/tex]
[tex]\\ \rm\longmapsto XY=15.2[/tex]
Show your work:
(5n^4 - 2n²) – (4n² + 4n^4) + (3n² + 2n^4)
Answer:
3[tex]n^{4}[/tex] - 3n²
Step-by-step explanation:
(5[tex]n^{4}[/tex] - 2n²) - (4n² + 4[tex]n^{4}[/tex]) + (3n² + 2[tex]n^{4}[/tex])
Remove parenthesis, distributing the second one by - 1
= 5[tex]n^{4}[/tex] - 2n² - 4n² - 4[tex]n^{4}[/tex] + 3n² + 2[tex]n^{4}[/tex] ← collect like terms
= (5 - 4 + 2)[tex]n^{4}[/tex] + (- 2 - 4 + 3)n²
= 3[tex]n^{4}[/tex] + (- 3)n²
= 3[tex]n^{4}[/tex] - 3n²
Rebecca bought a square rug for her office. If the area of the rug is 65ft estimate the side length of the rug to the nearest tenth.
Answer:16.3 ft
Step-by-step explanation:
The estimated value of the side length of the square rug is : 8.062 feets
Given that the area of the square rug = 65 ft²
Recall :
Area of a square = s²
Where, s = side length
Therefore,
Area of rug = s²
65 ft² = s²
65 = s²
Square both sides
√65 = s
8.062 = s
The estimated side length of the rug is 8.062 feets.
Learn more : https://brainly.com/question/1658516?referrer=searchResults
what is -x when x= -3
( Evaluate the following expression)
\*/ Algebra 1 \*/ [Algebraic Expressions]
How would I get the answers to 9-14?
Answer:
9. 38
10. 19
11. 91
12. 89
13. 110
14. 109
Step-by-step explanation:
A line (PT) is always a total of 180 degrees and QVR = RVS (given) so let x = QVR then
PVQ + QVR + RVS + SVT = 180
72 + x + x + 70 = 180
72 + 2x + 70 = 180
2x = 180 - 72 - 70
2x = 180 - 142
2x = 38
x = 19
so
9. QVS = QVR + RVS = 2x = 19 + 19 = 38
10. QVR = x = 19
11. PVR = PVQ + QVR = 72 + 19 = 91
12. TVR = TVS + SVR = 70 + 19 = 89
13. PVS = PVQ + QVR + RVS = 72 + 19 + 19 = 110
14. TVQ = TVS + SVR + RVQ = 70 + 19 + 19 = 109
There are 75 boys, 60 girls and 15 teachers at a kindergarten.
What is the simplest ratio of boys to girls to teachers?
Answer:
boys:girls:teachers
5 : 4 :1
Step-by-step explanation:
75 boys, 60 girls and 15 teachers
boys:girls:teachers
75 : 60 :15
Divide each term by 15
75 /15 : 60/15 :15/15
5 : 4 :1
What is 30% of $37.50
8x-4(x-3)-3(2x+5)-6
Answer:
8x - 4x + 12 - 6x - 15 - 6
Combine like terms
-2x - 9
If your equation is equal to zero then continue down.
-2x - 9 = 0
-2x = 9
x = -9/2
= -4 1/2
The solution set for -18 < 5x - 3 is _____. 3 > x -3 > x 3 < x -3 < x
Answer:
x < -3.
x is less than negative 3
Step-by-step explanation:
-18 < 5x - 3
-18 + 3 < 5x (- 3 + 3)
-15 < 5x
-15/5 < 5x/5
-3 > x
x < -3
Function n represents a cubic function that passes through the points (-1,0) and (0,2).
Which statement is true?
Answer: B
Step-by-step explanation:
y-intercept of m is -6
y-intercept of n is 2
Since -6 < 2:
A: false
B: true
C: false
D: false
-3/10q - 8/5q + 9 = 10
Solve for q
Answer:
-1 9/10
Step-by-step explanation:
-3/10q - 8/5q + 9 = 10
-3/10q - 16/10q + 9 = 10
-19/10q + 9 = 10
-19/10q = 1
-19 = 10q
-19/10 = 10q/10
-1 9/10 = q
raise the quotient of r and 6 to the 3rd power!!!!!!!!! IF YOU HELP RIGHT AWAY YOU GET A BRAINLY THIS IS 7th GRADE!!!!!!!
Explanation:
The expression r/6 is the quotient of r and 6. The quotient is the result of a division problem. For example, the quotient of 100 and 25 is 4 because 100/25 = 4.
We'll then raise r/6 to the 3rd power to get the final answer (r/6)^3
We could rewrite it in its equivalent form (r/6)^3 = (r^3)/(6^3) = (r^3)/216, but the answer in bold is sufficient in my opinion.
The diameter of a cylindrical propane tank is 6 feet the total volume is 989.9 cubic feet find the length of the tank
→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...
→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...
→100 lb tank: 4 feet tall and 18” diameter. ...
→420 lb tank: 4 feet tall by 3 feet diameter. ...
→500 gallon tank: 5 feet tall by 10 feet long.
Hope this helps ^_^
make a factor tree for 24
Step-by-step explanation:
24
^
2 12
^
2 6
^
3 3
^
3 1
Therefore its 2,2,3,3
prove this question
please
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]cos^{4}[/tex]A + [tex]sin^{4}[/tex]A - 2cos²Asin²A ← is the expansion of
= (cos²A - sin²A)²
Substitute sin²A = 1 - cos²A
= (cos²A - (1 - cos²A) )²
= (cos²A - 1 + cos²A)²
= (2cos²A - 1 )²
= right side , then proven
What is the answer to -4x-5x work
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{-4x - 5x}[/tex]
[tex]\huge\text{= -4x + (-5x)}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{= (-4x - 5x)}[/tex]
[tex]\huge\text{= -9x}[/tex]
[tex]\huge\boxed{\mathsf{Answer: -9x}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Answer:
-9x
Step-by-step explanation:
-4x-5x
Combine like terms
-4x-5x
-9x
HELP ME PLEASE ASAP!
Answer:
second option
Step-by-step explanation:
Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse, the line opposite of the 90 degree angle.
a and b are the other 2 sides.
the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.
so, we have (-2, -3) and (3, 2)
distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =
= (-5)² + (-5)² = 25 + 25 = 2×25 = 50
distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)
the solution for 3x-5=2x+3-(x-4)
Answer:
3x-5=2x+3-(x-4)
first deal with the bracket first. multiply -1 by x and -4.
3x-5=2x+3-x+4
group like terms that is sort them according to the letters.
3x+x-2x=3+4+5
4x-2x=12
2x=12.divide both sides by 2.
2x=12
2 2
x=6
No. of acute angles in the given figure:_____
Answer:
looks like there's 5
Step-by-step explanation:
acute angles are under 90°
obtuse are over 90°
right angles are 90°
measure at least pairs of corresponding angles in XJYN and ZSCH using a protractor. Record your measurements to the nearest 5. what do you notice?
Answer:
any file to have a reference?
help if you can id appreciate it
Less than 14 means
x < 14
Answer:
A. x < 14
Step-by-step explanation:
'<' = "less than"
'=' = "equal to"
'>' = "greater than"
If f(x)= 3^x, prove that f(x) + f (x + 1)= 4 f (x) (3 marks)
Answer:
4 f(x)
Step-by-step explanation:
step by step explainantion is in picture below