Please help with BOTh pics attached below. Since there are 2 i will give braineslt if u solve both of them, if you can only solve 1 that is fine tough
Answers
Answer:
[tex]1. x=27\\2. x=30[/tex]
Step-by-step explanation:
[tex]1.\ We\ are\ given\ that,\\Point\ W\ belongs\ to\ line\ VX\ or\ Point\ W\ lies\ in\ the\ line\ VX.\\Point\ Y\ belongs\ to\ line\ XZ\ or\ Point\ Y\ lies\ in\ the\ line\ XZ.\\\angle WXY=90\\Now\ let's\ consider\ \triangle XYW.\\We\ observe\ that,\\\angle XWY\ and\ \angle VWY\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\Hence,\\\angle XWY\ + \angle VWY\ =180\\\angle XWY=180- \angle VWY\\Substituting\ \angle VWY=6x\ in\ the\ equation\ (\angle XWY=180- \angle VWY),\\[/tex][tex]\angle XWY=180-6x\\Now\ \ \angle XWY\ and\ \angle WXY\ are\ interior\ angles\ opposite\ to\ \angle WYZ.\\\\Hence,\ from\ the\ 'Exterior\ Angle\ Property',\ we\ know\ that,\ the\\ measure of\ the\ \exterior\ angle\ is\ equal\ to\ the\ sum\ of\ the\ interior\ opposite\\ angles.\\Hence,\\\angle XWY + \angle WXY= \angle WYX\\Substituting\ \angle XWY=(180-6x),\ \angle WXY=90,\ \angle WYX=4x,\\(180-6x)+90=4x\\-6x-4x=-90-180 \\-10x=-270\\x=\frac{-270}{-10}\\x=27[/tex]
[tex]2. We\ are\ given\ that,\\Point\ N\ belongs\ to\ the\ line\ KO\ or\ Point\ N\ lies\ on\ the\ line\ KO.\\\angle LNM=45, \angle ONM=105, \angle NLM=90\\Hence,\\As\ we\ observe\ that,\\\angle LNM,\angle ONM\ and\ \angle KNL\ lie\ on\ the\ line\ KO\ and\ are\ hence,\\ supplementary.\\Hence,\\\angle LNM + \angle ONM\ + \angle KNL =180\\Substituting\ \angle LNM=45, \angle ONM=105,\\45+105+ \angle KNL=180\\150+ \angle KNL=180\\\angle KNL=180-150\\\angle KNL=30[/tex]
[tex]Hence\ by\ considering\ \triangle NML,\\\angle LNM + \angle NLM + \angle NML=180\ [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ by\ substituting\ \angle LNM=45, \angle NLM=90,\\45+90+\angle NML=180\\135+\angle NML=180\\\angle NML=180-135\\\angle NML=45\\Now,\ as\ we\ observe\ that\ \angle KNM= \angle KNL+ \angle LNM\\Hence\ by\ substituting\ \angle KNL=30, \angle LNM=45,\\\angle KNM=30+45\\\angle\ KNM=75\\[/tex]
[tex]Now,\ consider\ \triangle\ KNM,\\\angle NKM+ \angle KNM + \angle NMK=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ substituting\ \angle NKM=45, \angle KNM=75 , \angle NMK=2x,\\45+ 75 + 2x=180\\120+2x=180\\2x=180-120\\2x=60\\x=\frac{60}{2}\\x=30[/tex]
Related Questions
Please help and click on this. I've been trying to get this question on brainy for about 3 whole days and nobody bothers to answer. How many ounces of pure vinegar must be added to 80 ounces of a 10% solution to make a 25% solution? please and thank you
Answers
Answer:
32 ounces
Step-by-step explanation:
[tex]M_{1} v_1=M_2v_2\\(0.10)80=(0.25)x\\(1/0.25) (0.10)80=(0.25)x(1 /0.25)\\\frac{(0.10)80}{0.25} =32 ounces[/tex]
Ashley has sold 20% of candy bars she is supposed to sell for her softball team. How many candy bars does she have left to sell???
Answers
Answer:
Step-by-step explanation:
She has 80% of the total amount she had before she sold any. Can't solve any further for you, unless you provide me the number sold or the amount she had before she sold them.
Answer:
no
Step-by-step explanation:
you buy 11 bagels with a 20$ bill how m if change do you receive? how many bagels could you buy?
Answers
you can only buy 11 because if you divide 20/11 it will give you 1.81 and if you multiply 11x 1.81 it will give you 19.91 which is close to $20 & that’s the most you can buy .
Prove that log(3) 7 is an irrational number
Answers
Answer:
Proof below
Step-by-step explanation:
Irrational and Rational Numbers
We need to use the basic property of logarithms:
[tex]log_b\ a=x\ \ \Rightarrow b^x=a[/tex]
We are given:
[tex]log_3\ 7[/tex]
And we will prove it's an irrational number, i.e., it's not a rational number.
Recall a rational number can always be expressed as a fraction a/b, where a and b are integer numbers. Thus, if the expression was a rational number, then:
[tex]\displaystyle log_3\ 7=\frac{a}{b}[/tex]
Applying the property:
[tex]\displaystyle 3^{\frac{a}{b}}=7[/tex]
Raising to the power of b:
[tex]3^a=7^b[/tex]
It's not possible to find two integers a and b that satisfy the condition above. That contradiction comes from the assumption that [tex]log_3\ 7[/tex] is rational, thus, it's proven [tex]log_3\ 7[/tex] is irrational.
Help me with this please
Answers
Answer:
(a) Only A and B
please hepl???
I will mark brainliest
Answers
Answer:
x = 59
Step-by-step explanation:
180 = 73 + x + (x-11)
180 - 73 + 11 = 2x
118 = 2x
x = 118/2
x = 59
Help please!! I’ll give brainliest
Answers
Answer:
[tex]\boxed{f(n) = 4n + 16 }[/tex]
.
Step-by-step explanation:
We know that it is arithmatic squence
with a = 20 and b = 4
.
So
[tex]Un = a + (n - 1)b[/tex]
[tex]Un = 20 + (n - 1)4[/tex]
[tex]Un = 20 + 4n - 4[/tex]
[tex]Un = 4n + 16[/tex]
.
Happy to help :)
Cara measured 8 2/3 yards of cloth she the cut it into 4 equal pieces. what was the length of each piece of cloth?
Answers
Answer:
2.16
Step-by-step explanation:
8 2/3 / 4 or 8.166/4
= 2.16 (don't round up because they all have to be equal)
Suppose that 2% of produced computers by a company have defects, and defects occur independently of each other. a) Find the probability of exactly 2 defective computers in a shipment of 100 computers. b) The probability that a computer support specialist needs to test at least N computers in order to find one defective computer is 0.6676. Find N.
Answers
Answer:
a) P(exactly two defectives) = 0.2734
b) N [tex]\simeq[/tex] 55
Step-by-step explanation:
From the given information:
P(exactly two defectives) = P(X =2) = [tex]^{100}C_2 \times ( 0.02)^2 \times(1-0.02)^{100-2}[/tex]
[tex]= \dfrac{100!}{2!(100-2)!} \times ( 0.02)^2 \times(0.98)^{98}[/tex]
[tex]= 4950 \times 4 \times 10^{-4} \times 0.1380878341[/tex]
= 0.2734
Thus, P(exactly two defectives) = 0.2734
b)
To find:
P(X ≥ 1 )
let X be the random variable that obeys a binomial distribution, X represents the number of defectives,
∴
[tex]X \sim B ( N, 0.02)[/tex]
[tex]P(X \ge 1 ) = 1 - P(X < 1) \\ \\ P(X \ge 1 ) = 1 - P(X = 0)[/tex]
[tex]0.6676 = 1 - ^NC_0 \times (0.02)^0 (0.98)^N[/tex]
[tex]0.6676 = 1 - (0.98)^N[/tex]
[tex](0.98)^N = 1 - 0.6676[/tex]
[tex](0.98)^N = 0.3324[/tex]
N log (0.98) = log (0.3324)
[tex]N = \dfrac{log \ 0.3324}{log \ 0.98}[/tex]
N = 54.51824841
N [tex]\simeq[/tex] 55
lin tried to reflect triangle ABC across line t. She knows somthing is wrong because the image isnt congruent to the original figure in the end result
1: what is one idea that lin probably understands about reflections?
2:what is one idea that lin doesnt understand about reflections?
3:Reflect triangle ABC correctly
Answers
Answer:
it is the repition image of something, how its made, i dont know the last one.
Step-by-step explanation:
Umm, can somebody help me?
Answers
Answer:
the answer is 18.
Step-by-step explanation:
7+6=13
13+3+16
16+2=18
18 is your answer I hope it helps you
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $2220 and his stock in Company B was worth $3100. The stock in Company A has increased 25% since last year and the stock in Company B has increased 7%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answers
The total percentage increase in the investor's stock account is 14.5%.
What is the percentage?The percentage refers to the portion or ratio of a variable concerning another.
Like ratios, percentages are stated with the percentage sign (%). We also use percentages to show proportions.
For instance, the percentage increase in the investor's stock account is derived below to show how much the growth in value is compared to the original investments.
Whereas the dollar increase is $772, in percentage terms, it is 14.5%.
Data and Calculations:Company A Company B Total
Investments $2,220 $3,100 $5,320
Increase in value 25% 7%
Dollar increase $555 $217 $772
Total percentage increase = 14.51 % ($772/$5,320 x 100)
Thus, the total percentage increase in the investor's stock account is 14.5%.
Learn more about percentages at brainly.com/answer expert verified
#SPJ1
please look at photo and answer which one
Answers
Answer:
B
Step-by-step explanation:
Solve for X!! I’ll give BRAINLIEST
Answers
Answer:
x = 75
Step-by-step explanation:
1. Find the inner angle (opposite from where x is), using the outer angle of 150.
Note: these two angles are supplementary, meaning that they add up to 180 degrees.
Since the outer angle is 150, the inner angle is 30 degrees because 150+30 = 180.
2. Find the other two angles to get x.
The red markings on the two sides of the triangle indicate that this is an isocoleses triangle. Isocoleses triangles have two congruent angles. This means that the remaining two angles will be the same.
With that in mind, recall what I said about the angles being supplementary. All angles in a triangle add up to 180. So, use the following equation and solve for x.
2x + 30 = 180 (Subtract 30 from both sides)
2x = 150 (divide by 2)
x = 75
3. x = 75
Answer:
X = 65 degrees
Step-by-step explanation:
180 - 150 = 30 the angle beside the 150 degrees
180 - 30 = 130 180 degrees is the sum of all three angles in a triangle
130/2 = 65 since both sides are equal the other 2 angles are the same
For every 1,000 pounds of water in the ocean, there are 35 pounds of salt. If a person takes 173 pounds of ocean water, how much salt will he have?(tell me which letter, and explain why)
A: 605 pounds
B: 7.03 pounds
C: 6.06 pounds
D: 7 pounds
Answers
Answer:
C. 6.06
Step-by-step explanation:
173/1000=.173
.173*35== 6.06
Could someone help me with these problems ?
Answers
Answer:
Step-by-step explanation:
1. is 10
4. is 6
6. is $3.19
7. is $6
find the inverse with respect to addition of -6
Answers
Given:
The number is -6.
To find:
The inverse with respect to addition of the given number.
Solution:
We need to find the additive inverse of -6, to get the inverse with respect to addition of -6.
We know that, the sum of a number and its additive inverse is 0.
Let the additive inverse of -6 be x. Then,
[tex]-6+x=0[/tex]
Adding 6 on both sides, we get
[tex]-6+x+6=0+6[/tex]
[tex]x=6[/tex]
Therefore, the inverse with respect to addition of -6 is 6.
5x = 1/125
What is X
Answers
Answer:
x= 1/25
Step-by-step explanation:
At soccer practice on Saturday morning, Liz's team practiced dribbling for 45 minutes and practiced shooting for 15 minutes. Then, they played a scrimmage game for 45 minutes before practice ended at 9:30 A.M. What time did Liz's soccer practice start?
Please help me fast!!!
Answers
Answer:
7:45 AM I believe:)
Step-by-step explanation:
Congruent triangle proofs
Answers
Answer:
SSS (Side Side Side)
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.
SAS (Side-Angle-Side)
A second way to prove the congruence of triangles is to show that two sides and their included angle are congruent. This method is called side-angle-side. It is important to remember that the angle must be the included angle--otherwise you can't be sure of congruence. When two sides of a triangle and the angle between them are the same as the corresponding parts of another triangle there is no way that the triangles aren't congruent. When two sides and their included angle are fixed, all three vertices of the triangle are fixed. Therefore, two sides and their included angle is all it takes to define a triangle; by showing the congruence of these corresponding parts, the congruence of each whole triangle follows.
What will be the result of substituting 2 for x in both expressions below!
PLZ HELP!!
Answers
Answer:
A
Step-by-step explanation:
edge
in the image shown, line n is a transversal cutting parallel lines l and m.
Answers
Answer:
hi im zachary Grace im a male please wait while i type your awsner ;) So, m = 180 - 110 or 70°. interior angles, so they have the same measure so i think its A or B i tried hope this helps
Answer:
choice b
Step-by-step explanation:
please help 8th grade math
Answers
Answer:
I'm in the 8th grade and I could probably help you out
Step-by-step explanation:
45.15 ÷ 21 what is the answer
Answers
g In an experiment, 37 randomly selected drivers drove from Pontiac to Detroit at random times. The travel time for these drivers was 39.0 minutes on average with a standard deviation of 4.8 minutes. Calculate and interpret a 99.9% confidence interval for the mean travel time for all possible drivers traveling from Pontiac to Detroit.
Answers
Answer:
CI = ( 36,6 ; 41,4 )
Step-by-step explanation:
CI = 99,9 % α = 0,1 % α = 0,001
We find z scre for α = 0,001 in z -table
z(s) = - 3,08
CI = μ₀ ± MOE where μ₀ = 39 min and MOE = z(s) * σ/√n
CI = 39 ± 3,08 * 4,8 / √37
CI = 39 ± 2,4315
CI = ( 36,6 ; 41,4 )
Which graph is defined by the function given below?
y= (x+3)(x +3)
-10
-10+
10-
A
B.
C
D.
Answers
Step-by-step explanation:
Since y = (x + 3)(x + 3), the root is x = -3.
Only Graph A touches the x-axis once.
Amelia fills a bucket with 3.5 gallons of water. A gallon of water is approximately 8.34 pounds. What is the weigh, in pounds, of the bucket?
Answers
Answer:hehdjjdjfhrjrg
Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr
1. What type of solutions would we get from the quadratic equation
f (x)= 3x2 + 8x + 2?
Answers
Answer:
Double root / x = -3
Step-by-step explanation:
If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answers
Answer:
(f - g)(x) = 2x - 3
Step-by-step explanation:
(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.
Hence, we can define it as:
(3x - 1) - (x + 2)
= 3x - x - 1 - 2
= 2x - 3
Therefore, (f - g)(x) = 2x - 3.
Hope this helped!
Iftwo-thirdofa number increased by 10isequal to14,find the number
(यदि एउटा संख्याको दुई-तिहाई दशले बढाउँदा १४ बराबर हुन्छ भने त्यो संख्या
पत्ता लगाउनुहोस् ।)
Answers
Answer:
The number is 6.
Step-by-step explanation:
Let the number be x then,
By the question,
2/3 * x + 10 = 14
2x / 3 = 14 - 10
2x / 3 = 4
Cross multiply ✖
2x = 12
x = 12/2
x = 6
Hope it helps. :)