If the measure of <4 = 105 degrees, what is the measure of <5?
PLEASE HELP IF ITS RIGHT ILL MARK BRAINLIEST..
Answers
Answer:
<5 = 75
hope this will help
Related Questions
The coordinates of 4 points are A(0,9), B(k + 1, k + 4), C(2k, k + 3) and
D(2k + 2, k + 6). Find the value(s) of k if
(a) the points A, B and C are collinear,
(b) AB is parallel to CD.
Answers
9514 1404 393
Answer:
(a) 2 or 3
(b) -13
Step-by-step explanation:
(a) A, B, and C are collinear if there is some constant 'c' such that ...
B - A = c(C - A)
This will give rise to two equations in 'c' and 'k'.
(k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))
(k +1, k -5) = c(2k, k -6)
And the two equations are ...
k +1 = 2ck
k -5 = c(k -6)
From the first, we find ...
c = (k +1)/(2k)
From the second, we find ...
c = (k -5)/(k -6)
Equating these expressions for c gives ...
(k +1)/(2k) = (k -5)/(k -6)
(k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)
k^2 -5k -6 = 2k^2 -10k
0 = k^2 -5k +6 = (k -3)(k -2)
Solutions that make the factors zero are ...
k = 3 or k = 2
There are two values of k that make the points collinear: 2 and 3.
__
(b) AB is parallel to CD when the slopes of the lines between them are the same
slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)
slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2
Equating these slopes and solving for k, we get ...
(k -5)/(k +1) = 3/2
2(k -5) = 3(k +1)
2k -10 = 3k +3
-13 = k
AB is parallel to CD when k = -13.
_____
The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).
Can someone help me please?
Answers
Answer:
4.5in, 8in
Step-by-step explanation:
So, what is radius?
Well, diameter is the distance from one side of a circle to the other.
Radius is half of diamater, or the distance from any side to the middle of the circle.
Problem #1:
In this case, the distance from side of the circle to the other side is 9.
Since this is side to side, it must be diameter. We know that radius is half of diameter, so radius is:
9/2
=
4.5
This is your radius.
Problem #2:
In this case, the distance from the one side to the other side of the circle is 16. Again, this is the diameter. So the radius will be half of 16:
16/2
=
8
So this is your radius.
Hope this helps!
Answer:
4.5 in. and 8 ft. respectively
Step-by-step explanation:
The diameter of a circle is the product of the radius and 2. So, the radius would be the quotient of the diameter and 2.
Pls help I’ll brainlest ASAP
Answers
Answer:
A) -1
Step-by-step explanation:
anything raised to the zero power is 1 but if there is a negative without parentheses around it then it becomes -1
ex, (-4)° = 1
Answer:
It would be -1.
Step-by-step explanation:
This is because any postive number to the power of 0 equals 1 but since there is a negative sign, it would become -1.
Hellppppppppp!!!!!!!!!!
Answers
Answer:
0= - 3
1= - 1
2= 1
That is the answer to the table
Find the circumference and the area for this shape
Answers
Answer:
Hello!
Im using 3.14 for pi
circumference: 43.96
area: 153.86
Hope that helps!
Answer:
43.96km
Step-by-step explanation:
hope this helps, braniliest plzz
How many ways can a person choose 3 desserts from a desserts tray 8 desserts
Answers
In combinatorics, this question is a combination question, because combination deals with selection while permutations deal with arrangement.
[tex]nCr = \frac{n!}{(n - r)!r!} \\ [/tex]
Plugging in our values,
[tex]8C3 = \frac{8!}{(8 - 3)!3!} = \frac{8!}{5!3!} = \frac{8 \times 7 \times 6 \times 5!}{5!3!} = \frac{8 \times 7 \times 6}{3 \times 2} = 56 \\ [/tex]
That means 3 desserts from a tray of 8 desserts 56 times.
algebra two I need to show all work so please if you do help please help me with the work portion
Answers
Answer:
8.
[tex]\sqrt[3]{\frac{7x^3}{64y^4} } = \frac{(7x^3)^{\frac{1}{3}} }{(64y^4)^{\frac{1}{3} }} =\frac{7^{\frac{1}{3} }*x}{4^3^{\frac{1}{3} }y^4^{\frac{1}{3} }} =\frac{x}{4} \sqrt[3]{\frac{7}{y^4} }[/tex]
9.
[tex]\frac{4+\sqrt{6} }{3\sqrt{6} } =\frac{(4+\sqrt{6} )(\sqrt{6}) }{3\sqrt{6} \sqrt{6} } =\frac{4\sqrt{6}+6 }{3*6} =\frac{4\sqrt{6} +6}{18} =\frac{2\sqrt{6} +3}{9}[/tex]
10.
[tex]\frac{2 + 5\sqrt{2} }{2-\sqrt{2} }= \frac{(2 + 5\sqrt{2})(2+\sqrt{2}) }{(2-\sqrt{2})(2+\sqrt{2} ) } = \frac{4+ 2\sqrt{2} + 10\sqrt{2} +10 }{2^2 -\sqrt{2}^{2} } =\frac{14 + 12\sqrt{2} }{4-2} =\frac{14 + 12\sqrt{2} }{2} = 7 + 6\sqrt{2}[/tex]
HELPPP PLSSS!!!!!!!!!! QUICK!!!!!!! ILL GIVE BRAINLEST
Answers
Answer:
76
Step-by-step explanation:
Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather have a taco truck or a fruit smoothie cart. The results of the survey are shown in the table.
Answers
Answer:
0.18!
Step-by-step explanation:
Answer:
.18
Step-by-step explanation:
50 POINTS!
Only help if you know how to do the problem please.
Answers
Answer:
The position equation will be:
[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]
Step-by-step explanation:
The general position equation of mass attached to a spring is given by:
[tex]y(t)=Asin(\omega t-\phi)[/tex]
Where:
A is the amplitude of the sinusoidal motion ω is the angular frequency (ω=2πf)∅ is the phase (zero in our case)We know that it takes 3 sec for the spring to complete one cycle. It means the period is T = 3 s.
Let's recall that T = 1/f where f is the frequency, so f = 1/3 Hz and hence ω=2π(1/3)=2π/3.
The amplitude is the distance from the origin to the crest. In our case, A = 4/2 in = 2 in, because the distance from the highest to the lowest is 4.
Therefore, the position equation will be:
[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]
I hope it helps you!
If you place a 38-foot ladder against the top of a 32-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answers
Answer: 20.5
Step-by-step explanation:
The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
In the event that you place a 38-foot stepping stool against the highest point of a 32-foot building.
Let 'x' be the horizontal distance on the ground. Then the equation is given as,
38² = 32² + x²
Simplify the equation, then we have
1444 = 1024 + x²
x² = 420
x = 20.5 feet
The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
A firm is hired by a small town to estimate the proportion of large trucks that are carrying hazardous materials on the main highway through the town. Of 350 randomly selected trucks, 87 were carrying hazardous materials. Is there evidence at the 5% level that the proportion of large trucks carrying hazardous materials is less than 30%?
A. No, since the p-value of the one-sided test is less than 5%.
B. Yes, since the sample proportion is less than 30%
C. The sample size is too small to make a determination.
D. Yes, since the p-value of the one-sided test is less than 5%.
E. No, since the sample proportion is larger than 5%
Answers
Answer:
D. Yes, since the p-value of the one-sided test is less than 5%.
Step-by-step explanation:
Test if there is evidence that the proportion of large trucks carrying hazardous materials is less than 30%.
At the null hypothesis, we test that this proportion is of 30%, that is:
[tex]H_0: p = 0.3[/tex]
At the alternate hypothesis, we test if this proportion is less than 30%, that is:
[tex]H_1: p < 0.3[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.3 is tested at the null hypothesis:
This means that [tex]\mu = 0.3, \sigma = \sqrt{0.3*0.7}[/tex]
Of 350 randomly selected trucks, 87 were carrying hazardous materials.
This means that [tex]n = 350, X = \frac{87}{350} = 0.2486[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.2486 - 0.3}{\frac{\sqrt{0.3*0.7}}{\sqrt{350}}}[/tex]
[tex]z = -2.1[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.2486, which is the p-value of z = -2.1.
Looking at the z-table, z = -2.1 has a p-value of 0.0179.
The p-value of the test is 0.0179 < 0.05, which means that there is evidence at the 5% level that the proportion of large trucks carrying hazardous materials is less than 30%. Thus, the correct answer is given by option D.
please answer this question
Answers
Answer: 12
Step-by-step explanation:
4) En el banco Visión, 1.500.000 G es el saldo mínimo permitido en una caja de ahorro a la
vista. Si una cuenta tiene saldo menor, le cobran una multa de 75.000 6 mensuales.
Al padre de Leticia le descontaron 225.000 6.
a) Indicar con un número entero negativo el descuento sufrido.
b) ¿Qué operación tienen que resolver para saber durante cuántos meses el saldo fue
menor al permitido?
c) Calcular durante cuántos meses el saldo fue menor.
Answers
Answer:
a) [tex]-225.000\,G[/tex], b) La cantidad de meses en los que el saldo fue inferior al permitido se calcula al dividir el descuento total por la multa mensual, c) El saldo fue menor durante 3 meses.
Step-by-step explanation:
a) Asumamos que la caja de ahorro es un recipiente, donde las entradas de dinero son positivas y las salidas negativas. Un descuento debe entenderse como negativa en tanto que se paga en función de no superar el saldo mínimo permitido en un período determinado. En consecuencia, el descuento sufrido por el padre de Leticia se describe como -225.000 G.
b) y c) La cantidad de meses en los que el saldo fue inferior al permitido se calcula al dividir el descuento total por la multa mensual, es decir:
[tex]x = \frac{225.000\,G}{75.000\,\frac{G}{mes} }[/tex]
[tex]x = 3\,meses[/tex]
Mrs. Fox met with 120 students. If three- quarters were girls, how many boys were at the meeting
Answers
Answer:30 boys
Step-by-step explanation: There are 120 students, three-fourths are girls. Nine out of twelve is equal to three fourths, if you add a zero to the end of twelve and nine you get 90 out of 120, which is how many girls there are. If you subtract 90 from 120 you get 30 or one-fourth. The number of boys is equal to one-fourth because there is only one-foutlrth left. So, there are 30 boys.
Find the equation of the line that passes through (3,1) and is parallel to
y
=
2
x
+
1
.
Leave your answer in the form
y
=
m
x
+
c
Answers
Answer:
b
Step-by-step explanation:
Solve the equation
X/x+2 - 4/x-2=1
Answers
Answer: - 2/3 but in decimal form it is -0.6 repeating
Step-by-step explanation:
What type of graph would have the title, "Monthly Company Profit for the Year?"
a. bar graph
b. line plot
c. line graph
d. pictograph
Answers
Answer:
b
Step-by-step explanation:
Answer:
a i think a
Step-by-step explanation:
A loan of $7,000 for 4 acres of woodland is compounded somiannually at an annual rate of 8% for 3 years.
How much INTEREST is paid at the end of 3 years?
Answers
Answer:
$560
Step-by-step explanation:
quickly help 1//////////////////////////////////
Answers
Answer:
1 [tex]\frac{2}{8}[/tex]
Step-by-step explanation:
The largest is 1 [tex]\frac{4}{8}[/tex], and the smallest is [tex]\frac{2}{8}[/tex]. 1 [tex]\frac{4}{8}[/tex] - [tex]\frac{2}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex].
If i had $3,000,000 And i wanted to buy a large screen tv that costs 123,000,000 how much money will i need to sve up to buy the tv?
Answers
Answer:
$120,000,000
Step-by-step explanation:
Just do $123 million - $3 million
Giving Brainly! It’s not 50 x 0.15... thank you :)
Answers
Answer:
30
Step-by-step explanation:
You made the same mistake as you did the last time
if you have 50 stocks paying you .15 4 times a year that means you get
50*.15*4= 30
Find the solution to the system of equations
Answers
Answer:
(-1, 1)
Step-by-step explanation:
Just look at where the two lines intersect and thats the soloution
The state of Georgia's HOPE scholarship program guarantees fully paid tuition to Georgia public universities for Georgia high school seniors who have a B average in academic requirements as long as they maintain a B average in college. It was reported that 28.3% of a random sample of 137 students entering Ivan Allen College at Georgia Tech (Social Science and Humanities) with a HOPE scholarship lost the scholarship at the end of the first year because they had a GPA of less than 3.0. It was also reported that 22 of a random sample of 111 students entering the College of Computing with a B average had lost their HOPE scholarship by the end of the first year.
Required:
Is there evidence that the proportion who lose HOPE scholarships is different for the College of Computing than for the Ivan Allen College?
Answers
Answer:
We accept H₀ p₁ = p₂ : We don´t have evidence to support any difference between the proportions
Step-by-step explanation:
Information from Ivan Allen College;
Sample size n₁ = 137
The proportion of students failing
p₁ = 0,283 q₁ = 1 - p₁ q₁ = 1 - 0,283 q₁ = 0,717
Information from College of Computing:
Sample size n₂ = 111
x₂ ( number of students failing ) = 22
The proportion of students failing
p₂ = 0,1981 q₂ = 1 - 0,1981 q₂ = 0,8019
Hypothesis Test:
Null Hypothesis: H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
Alternative Hypothesis indicates the test is a two-tail test
Choosing a significance level α = 0,05 ( Confidence Interval 95%)
we get from z table z(c) = 1,64
To obtain z(s)
z(s) = ( p₁ - p₂ ) / EED
EED = √(p₁*q₁)/n₁ + p₂*q₂)/n₂
EED = √ (0,283*0,717)/137 + ( 0,1981*0,8019)/111
EED = √ 0,00148 + 0,00143
EED = 0,054
And
z(s) = ( 0,283 - 0,1981 )/ 0,054
z(s) = 1,57
Comparing z(c) and z(s)
z(c) > z(s)
Then z(s) is in the acceptance region for H₀ : We accept H₀
a bag contains 2 white marbles and 7 purple marbles. 2 marbles are drawn at random.
Answers
Answer:
7/36
Step-by-step explanation:
Complete
A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a purple marble and then a white marble?
Total outcome = 2 + 7 = 9marbles
Pr(picking purple) = number of purple/total outcome
Pr(picking red) = 7/9
Since the first marble is not replaced, the total outcome becomes 8 marbles
Pr(picking white) = 2/8 = 1/4
Probability of selecting a purple marble and then a white marble = 7/9 * 1/4 = 7/36
The matching section of an exam has 3 questions and 7 possible answers. In how many different ways can a student answer the 3 questions, if none of the answer choices can be repeated?
O combination
O permutation
Answers
Answer:permutations
Step-by-step explanation:
Plsss help I’ll mark u brainliesttt
Answers
”
All of the following represent five multiplied by four except _____.
5(4)
5^4
5 · 4
5 × 4
Answers
That’s equal to 5 x 5 x 5 x 5
What type of function is present? y=-2x+1
O Linear Inequality
O Exponential
O Linear Equation
Cubic
Answers
Step-by-step explanation:
i think it's linear equation
50 POINTS !!
PLEASE HELP AND EXPLAIN !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
Answer is 35 yd
Step-by-step explanation: