Answers
Answer:
x = 19° ; Write 19° in the box ( don't forgot ° or answer will be incorrect )
Step-by-step explanation:
If XW ║YZ, we can tell that YW is a transversal, as YW ∩ XW, YX;
By alternate interior angles, ∠ ZYW ≅ ∠ YWX, so that ⇒
m∠ ZYW = m∠ YWX,
m∠ YWX = 2x, ⇒ given m∠ ZYW = 2x
By ∑ of angles in triangle Theorem;
m∠ YXW + m∠ XYM + m∠ YWZ = 180° ⇒ through substitution,
( 3x - 5 ) + 90 + ( 2x ) = 180 ⇒ now apply algebra,
3x - 5 + 90 + 2x = 180 ⇒ combine like terms,
3x + 2x - 5 + 90 = 180 ⇒ add,
5x + 85 = 180 ⇒ subtract 85 from either side of equation,
5x = 95, divide 5 on either side,
x = 19°
Solution; x = 19°
Related Questions
at a school number of boy:number of girls is in the ratio 11:9
there are 124 more boys than girls
work out the total number of sutdents at the school
Answers
Answer:
1240 (I'm not so sure but per my calculation that is what i got)
Step-by-step explanation:
Boy : Girl
11 : 9
124 + x : x
11/9 = 124 + x / x
9(124 + x) = 11 x
1116 + 9x = 11x
1116 = 11x - 9x
1116 = 2x
x = 558
Thus, there are 558 girls in the school
Number of boys = 124 + x
= 124 + 558
= 682
Therefore, total number of students = 558 + 682 = 1240 students
A bicycle wheel is 63 centimeters from top to bottom. When the wheel goes all the way around one time,the bicycle travels 198 centimeters. How can this information be used to estimate the value of
Answers
Divide the distance traveled by the wheel to guess the value or estimate the value of π.
What is a circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.
Given
Height of the wheel = 198
Perimeter of the wheel = 63
Height of the wheel is the diameter of the circle
Perimeter of the circle is π × diameter of the circle
P = [tex]\pi[/tex] × d
198 = [tex]\pi[/tex] × 63
[tex]\pi[/tex] = [tex]\frac{198}{63}[/tex]
[tex]\pi[/tex] = 3.14
Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.
Learn more about circle here
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Express 250 ml as a percentage of 2 litres.
Answers
Given: 2 liters
2×1000= 2000 litre
Now to find %
250/2000 × 100
Answer: 12.5%
The height of a trapezoid is 4 in. And its area is 48 in 2. One base of the trapezoid is 6 inches longer than the other base. What are the length of the bases? Complete the explanation on how you found your answer
Answers
Answer:
9 inches and 15 inches
Step-by-step explanation:
The height of a trapezoid is 4 in.
Its area is 48 in^2.
Let a be one base and b be the second base.
One base is 6 inches longer than the other. This implies that:
a = 6 + b _________ (1)
The formula for the area of a trapezoid is given as:
[tex]A = \frac{1}{2}(a + b)h[/tex]
where h = height
From (1), we have that:
[tex]A = \frac{1}{2}(6 + b + b )h\\ \\A = \frac{1}{2}(6 + 2b )h[/tex]
We have that h = 4 and A = 48 in^2, therefore:
[tex]48 = \frac {1}{2}(6 + 2b) * 4\\ \\96 = 24 + 8b\\\\8b = 96 - 24 = 72\\\\b = 72 / 8 = 9 in[/tex]
=> a = 6 + 9 = 15 in
The bases are 9 inches and 15 inches long.
A ladder is leaning against a wall. The length of the ladder is 15 meters and
the base of the ladder is placed 9 meters away from the wall. How far up
the wall will this ladder reach?
A.) 6 m
B.) 10 m
C.) 12 m
D.) 18 m
Answers
Answer:
the ladder is “c2” 15 X 15 =225
9 feet out is still squared to 81.
So c2 (225) - b2 (81) is 144 (a2)
Sqrt of 144 is 12. The ladder will be 12′ up the wall.
Answer: 12m
Step-by-step explanation:
P.S I'm emo
Simplify this expression. (2/x-y) + (3/x+y) - (5/y+x) - (7x-9y/y^2-x^2) = ___________/ y^2 - x^2
Answers
Answer:
(5y-17x)/ (y^2-x^2)
Step-by-step explanation:
(2/x-y) + (3/x+y) - (5/y-x) - (7x-9y/y^2-x^2) =
Get a common denominator of y^2 - x^2
2/ (x-y) = -2 /( y-x) * (y+x)/(y+x) = (-2y -2x) / (y^2 -x^2)
(3/x+y) = 3/ (x+y) * (y-x)/(y-x) = (3y-3x) / (y^2 -x^2)
-5/(y-x) = -5/(y-x) *(y+x)/(y+x) = -5y-5x / (y^2 -x^2)
- (7x-9y/(y^2-x^2) = -7x +9y/ (y^2-x^2)
Combine the numerators since the denominators are equal
-2y -2x +3y-3x-5y-5x-7x+9y
5y-17x
Put this over the denominator
(5y-17x)/ (y^2-x^2)
Answer:
[tex] \frac{ - 17x + 5y}{ {y}^{2} - {x}^{2} } [/tex]
Solution,
[tex] \frac{2}{x - y} + \frac{3}{x + y} - \frac{5}{y - x} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{3}{x + y} - \frac{5}{ - (x - y)} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{3}{x + y} + \frac{5}{x - y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2}{x - y} + \frac{5}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{2 + 5}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7}{x - y} + \frac{3}{x + y} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7(x + y) + 3(x - y)}{(x - y)(x + y)} - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{7x + 7y + 3x - 3y}{ {x}^{2} - {y}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{10x + 4y}{ {x}^{2} - {y}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{10x + 4y}{ - ( {y}^{2} - {x)}^{2} } - \frac{7x - 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 10x - 4y - 7x + 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 10x - 7x - 4y + 9y}{ {y}^{2} - {x}^{2} } \\ = \frac{ - 17x + 5y}{ {y}^{2} - {x}^{2} } [/tex]
hope this helps...
Good luck on your assignment...
PLEASE HELP! WILL MARK BRAINLIST!!!
Find the volume of the sphere. Either enter an exact answer in terms of π or use 22/7 for pi. (radius is 1/2)
Answers
Answer:
1/6π units³ or 11/21 units³
Step-by-step explanation:
V = 4/3 πr³
r= 1/2
V= 4/3π* (1/2)³= 1/6πor
V= 1/6 *22/7= 11/21Answer:
1/6
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answers
Answer:
x = -3/2 x =0
Step-by-step explanation:
(2x+3) ^2 - 6x-9 = 0
Factor out -3 from the last 2 terms
(2x+3) ^2 - 3( 2x+3) = 0
Let m = 2x+3
m^2 - 3m = 0
Factor out m
m(m-3) =0
Using the zero product property
m=0 m-3 =0
m=0 m=3
Substitute 2x+3 back in for m since we are looking for the value of x
2x+3 =0 2x+3 =3
2x +3-3=0-3 2x+3-3=3-3
2x = -3 2x=0
x = -3/2 x =0
help me hahahahahahhahahahaha
Answers
Write each ratio or rate as a fraction in simplest terms. 2) 51 minutes to 21 minutes
Answers
Answer:
[tex]\frac{17}{7}[/tex]
A group of 6 friends of varying ages meets at a coffee shop and sits in a circle. What is the probability that the
youngest member of the group sits in the seat closest to the door?
Answers
Answer:
[tex]100.00 \div 6 [/tex]
The probability that the youngest member of the group sits in the seat closest to the door 1 / 6
Given that, a group of 6 friends of varying ages meets at a coffee shop and sits in a circle, we need to find the probability that the youngest member of the group sits in the seat closest to the door,
So, the probability = favorable outcomes / total outcomes
Here, the favorable outcome = 1
The total outcomes = 1, 2, 3, 4, 5, 6 = 6
So, the probability = 1/6 = 1/2
Hence, the probability that the youngest member of the group sits in the seat closest to the door 1 / 6
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Which set of properties describes a square?
Answers
Answer:a parallelogram with one right vertex angle and two adjacent equal sides. a quadrilateral with four equal sides and four right angles. a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.
Step-by-step explanation:
What is 9/2 in a percentage
Answers
Answer:
450%
Step-by-step explanation:
Answer:
450%
Step-by-step explanation:
lainey bought a set of 15 makers for $6 what is the cost of 1 marker
Answers
Answer:
Each marker costs $.40 or 40 cents
Step-by-step explanation:
Take the total cost and divide by the number of markers
$6.00 /15
.40
Each marker costs $.40 or 40 cents
Simplify the Algebraic Expressions Problems 15 - 19.
15. 7c + 8d + 2c + 17d =
16. 4(2m - 3p) + 12m + 7p =
17. (15j +9z) - (12j + 6z) =
18. 3y + 6.7x + y + 2.3x +10 - 7 =
19. 2b + (-6c) +5e - 11b + e+ 6c =
Answers
Answer: The answers are provided below
Step-by-step explanation:
15. 7c + 8d + 2c + 17d
= 7c + 2c + 8d + 17d
= 9c + 25d
16. 4(2m - 3p) + 12m + 7p
= 8m - 12p + 12m + 7p
= 8m + 12m -12p + 7p
= 20m - 5p
17. (15j +9z) - (12j + 6z)
= 15j - 12j + 9z + 6x
= 3j + 15z
18. 3y + 6.7x + y + 2.3x +10 - 7
= 6.7x + 2.3x + 3y + y + 10 - 7
= 9x + 4y + 3
19. 2b + (-6c) +5e - 11b + e+ 6c
= 2b - 11b - 6c + 6c + 5e + e
= -9b + 6e
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.2 in. and a standard deviation of 1.2 in. Find Upper P 99. That is, find the hip breadth for men that separates the smallest 99% from the largest 1%.
Answers
Answer:
Upper P99 = 17 in.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 14.2, \sigma = 1.2[/tex]
Upper P99
This is X when Z has a pvalue of 0.99. So X when Z = 2.327.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.327 = \frac{X - 14.2}{1.2}[/tex]
[tex]X - 14.2 = 1.2*2.327[/tex]
[tex]X = 17[/tex]
So
Upper P99 = 17 in.
PLZ HELP I'VE BEEN STUCK FOR A LONG TIME PLZ HELP
(c-d)/5 - 2 = 0
c-6d=0
Given the equations, what is the value of c/d?
PLZ HELP WILL MARK BRAINLIEST
Answers
Answer:
c/d = 6
Step-by-step explanation:
Use the second equation.
c - 6d = 0
Add 6d to both sides.
c = 6d
Divide both sides by d.
c/d = 6
5 (2 x +1)-2=6x+5
Can someone help solve this
Answers
hope this helps
Decimal form x=5.5
Mixed number form x=5(1/2
LAST TRY!!!! I HAVE THIS LAST QUESTION AND 4 MIMNTES LEFT!!!!!! PLS HELP OUT!!! WILL GIVE BRANLIEST!!! AT LEAST TAKE A LOOK!!! SHARE YO SMARTNESS! ONLY IF YOUR 100% SURE!
Which angles would apply to the consecutive exterior angles theorem?
A) 1 and 7; 2 and 8
B) 1 and 8; 2 and 7
C) 1 and 5; 3 and 7
D) 2 and 6, 4 and 8
Answers
Answer:
Step-by-step explanation:
Consecutive exterior angles lie outside on the same side of a transversal.
So it should be 3,45 and 6
Find the product of 3/8 and reciprocal of - 5/11
Answers
[tex]reciprocal \: of \: \frac{ - 5}{11} \: is \frac{ - 11}{5} \\ product \: of \: \frac{ - 11}{5} \times \frac{3}{8} = \frac{ - 33}{40} \\ hope \: it \: helped \: [/tex]
hope it helps you if it does please mark me as brainliest :-)which counterexample shows that the conjecture "all mammals live on land" is false?
Answers
Answer:
B. A whale is a mammal that does not live on land.
Step-by-step explanation:
Self explanitory
El triple de la cuarta parte de un número es 18. ¿Cuál es este número?
a)24
b)72
c)48
d)12
e)6
Answers
Answer:
e) 6
Step-by-step explanation:
18 divided by 3 equals 6
St
Problems
1 1.3 - (-2.5)
يا
Answers
إجابة:
3.8
شرح خطوة بخطوة:
[tex]1.3 - (-2.5)[/tex]
[tex]=1.3+2.5[/tex]
[tex]=3.8[/tex]
Answer:
3.8
Step-by-step explanation:
negative by negative = positive.
1.3 + 2.5 = 3.8
express 0.0043216 in standard form
Answers
Answer:4.3216*10^-3
Step-by-step explanation:
Answer:
4.3216*10^(-3)
Step-by-step explanation:
Moving the decimal point 3 places to the right results in 4.3216*10^(-3), which is in standard form.
What is 200+20000000
Answers
Answer:20000200
Step-by-step explanation:
Answer: 20000200
You just add 200 to the larger number.
Find the indicated term of the given arithmetic sequence.
a14 for 200, 196, 192, ...
Answers
Answer:
148
Step-by-step explanation:
AP 200, 196, 192, ...
a14=?
---------
a1= 200
d= 196-200=192-196= -4
a14= a1+13d
a14= 200+13*(-4)= 200- 52= 148
classify the following triangle check all that apply
A.Isosceles
B.Scalene
C.Right
D.Obtuse
E.Acute
F.Equilateral
Answers
Answer:
c.Right
Step-by-step explanation:
because of the 90 degrees it shows that it is 90 degrees
Answer:
B. scalene
C. right
Step-by-step explanation:
One term of (x+y)^m is 31,824x^18y^11
What is the value of m ?
Answers
Answer: The value of m is 29.
Step-by-step explanation:
Given that, One term of [tex](x+y)^m[/tex] is [tex]31,824x^{18}y^{11}[/tex] ...(i)
We know that that (r+1)th term in [tex](a+b)^n[/tex] is given by :-
[tex]T_{r+1}=^nC_ra^{n-r}b^r[/tex] ...(ii)
On comparing (i) with (ii) , we get
[tex]a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m[/tex]
i.e.
[tex]m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29[/tex]
Hence, the value of m is 29.
Please help me!!!!!!
Answers
Answer:
16.7 cm
Step-by-step explanation:
So B = 180 -A-C=180-58-75=47degree
sinB/AC = sinC/AB
sin47/AC=sin75/22
AC=16.65cm
5/4 x (54/48 + 105/75)
Answers
Answer:
5/4 x (54/48 + 105/75)
= 5/4 x (9/8 + 7/5)
= 5/4 x (45/40 + 56/40)
= 5/4 x 101/40
= 1/4 x 101/8
= 101/32
Hope this helps!
:)
Answer: 3/5/32
Step-by-step explanation:
5/4 x(54/48 + 105/75)
5/4 x (1/1/8 + 1/2/5)
5/4 x 2/21/40
1/1/4 x 2/21/40
3/5/32 ( 3 whole and 5 over 32)
HOPE THIS HELPS
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