30 POINTS easy question
Find the measure of the exterior angle
The measure of the exterior angle of the triangle is
angle of the triangle is
º.
Answers
Answer:
9
Step-by-step explanation:
The exterior angle is equal to the sum of the 2 opposite interior angles, therefore:
9x + 9 = 45 × 5x
4x = 36
x = 9
9x +9 = 45+5x
4x = 36
x =9
Related Questions
lily cleaned the coin fountain at the mall and found 20 coins consisting of nickels and quarters. Her collection totaled $2.60 . How many quarters did she find
Answers
Answer:
10
Step-by-step explanation:
eight quarters in $2.00, 2 quarters in .50 cents = 10 quarters.
A computer programming team has 17 members. (For each answer, enter an exact number.) (a) How many ways can a group of nine be chosen to work on a project? 24310 Correct: Your answer is correct. (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? 1 Incorrect: Your answer is incorrect. (ii) How many groups of nine can be chosen that contain at least one man? 9 Incorrect: Your answer is incorrect. (iii) How many groups of nine can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project?
Answers
The number of groups that can be chosen from the team of 17 depends on
the given conditions of the selection.
The correct responses are;
(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.(ii) The number of groups of 9 that contain at least one man is 24,309 groups.(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.Reasons:
The combination of n objects taking r at a time is given as follows
[tex]_nC_r = \dbinom{n}{r}[/tex]
(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;
Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.
(b) (i) Number of women = 9
Number of men = 8
Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]
[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]
Number of groups of 9 containing 5 women and 4 men = 8,820 groups.
(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]
[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]
The number of groups that contain at least one man are 24,309 groups.
(iii) The number of groups of 9 that contain at most 3 women if given as follows;
[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]
The number of groups of 9 that contain at most 3 women are 2,649 groups.
(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]
[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]
(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]
[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]
The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.
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The manager of the school bookstore ordered 180 boxes of pencils. Based on the average daily use, she knows that the pencils will last about 30 days. Which linear equation represents the situation?
How many boxes of pencils should the manager expect to have after 20 days?
A. y = - 6x + 180; 120 boxes
B. y = - 6x + 180; 60 boxes
C. y = 6x + 180; 120 boxes
D. y = 6x - 180; 60 boxes
Will give 26 points!!
Answers
Find the probability distribution for the following function: P(x) = (x/2)+1 for x = 4, 6, and 8
Answers
=2+1
=3
p(6)=(6/2)+1
=3+1
=4
p(8)=(8/2)+1
=4+1
=5
not sure if this is what you ment but i hope this helped! :)
Hurry please What is the equation of this line
A. Y=1/4x-6
B. Y=6x-4
C. Y=6x-1/4
D. Y=4x-6
Answers
What is the equation of this line?
Answer:
D. Y = 4x-6
Which pairs of quadrilaterals can be shown to be congruent using
rigid motions?
Select Congruent or Not
Congruent for each
pair of quadrilaterals.
Not
Congruent
Congruent
quadrilateral 1 and
quadrilateral 2
quadrilateral 1 and
quadrilateral 3
quadrilateral 1 and
quadrilateral 4
quadrilateral 2 and
quadrilateral 3
quadrilateral 2 and
Answers
Rigid transformation do not alter the sides and angle measurements of a shape.
The true statements are:
quadrilateral 1 and quadrilateral 2 - Not congruent quadrilateral 1 and quadrilateral 3 - Not congruent quadrilateral 1 and quadrilateral 4 - Not congruent quadrilateral 2 and quadrilateral 3 - CongruentFrom the graph, we have the following highlights
Quadrilaterals 2, 3 and 4 are congruentQuadrilateral 1 does not have equal measure with any of the other quadrilaterals.Hence, the first three statements are not congruent, while the last statement is congruent.
Read more about congruent shapes at:
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After two consecutive years of 5% rates of return, what rate of return in the third year will produce a cumulative gain of 16%?
Answers
Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.
The decimal multiplier for a increase of a% is given by:
[tex]M = \frac{100 + a}{100}[/tex]
In this problem, two increases of 5%, thus:
[tex]M = \frac{100 + 5}{100} = 1.05[/tex]
Another of x, that we want to find, and the result is a increase of 16%, thus:
[tex]M = \frac{100 + 16}{100} = 1.16[/tex]
The three increases(5%, 5% and x%) result in a increase of 16%, thus:
[tex]1.05(1.05)(x) = 1.16[/tex]
[tex]x = \frac{1.16}{(1.05)^2}[/tex]
[tex]x = 1.052[/tex]
1.052 - 1 = 0.052
A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.
A similar problem is given at https://brainly.com/question/21806362
Consider these four number lines of solutions.
4 number lines going from negative 5 to positive 5. Graph A: a point is at negative 4. Everything to the left of the point is shaded. Graph B: a point is at negative 4. Everything to the right of the point is shaded. Graph C: Points are at negative 4 and positive 4. Everything to the left of negative 4 and to the right of positive 4 is shaded. Graph D: points are at negative 4 and positive 4. Everything between the points is shaded.
Which graph represents the solution to the inequality |k|StartAbsoluteValue k EndAbsoluteValue greater-than-or-equal-to 4?
graph A
graph B
graph C
graph D
Answers
Answer:
its graph c
Step-by-step explanation:
Which of the following graphs represents a function?
Answers
Answer:
A and C
Step-by-step explanation:
A function has a unique y value for every unique x value
The vertical section disqualifies B
D has 2 y values for many x values.
What is length of Ef?
A.10
B.15
C.20
D.v200
E.v300
F.v500
Answers
Answer:
Answer E is correct
Step-by-step explanation:
Let the Length of EF be x
Use PYTHAGORAS theorem to find the length of EF
EF² + DF² = DE²
[tex] {x}^{2} + {10}^{2} = {20}^{2} \\ {x}^{2} + 100 = 400 \\ {x}^{2} = 400 - 100 \\ {x}^{2} = 300 \\ x = \sqrt{300} [/tex]
So,
[tex]EF = \sqrt{300} [/tex]
Hope this helps you.
Let me know if you have any other questions :-)
need help plz help for math class
Answers
-8/27
Step-by-step explanation:
Just multiply this fraction by itself 3 times and you will get the answer then simplify.
When converted to a household measurement, 9 kilograms is approximately equal to a
Answers
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
Please answer asap
Please
Please
Answers
Step-by-step explanation:
Standard form:
y = ax² + bx + cVertex form:
y = (x - h)² + kIdentity used:
(a ± b)² = a² ± 2ab + b²6 - 7)
Standard to vertex form conversion by completing the square
y = x² - 3x + 16
= x² - 2*1*3/2 + (3/2)² - (3/2)² + 16
= (x - 3/2)² - 9/4 + 16 =
= (x - 1.5)² + 13.75
8 - 9)
Same as above
y = x² - 2x + 3
= x² - 2*1*x + 1² - 1² + 3
= (x - 1)² + 2
10 - 12)
Vertex to standard for conversion by opening parenthesis and simplification
y = (x - 11)² + 15
= x² - 22x + 121 + 15
= x² - 22x + 136
13-15)
Same as above
y = (x - 4)² + 11
= x² - 8x + 16 + 11
= x² = 8x + 27
PLZ HURRY IM TIMEDDD
Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.
Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.
Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.
Answers
Answer:
B, second option: the product of three fourths is not equal to 9
The error made by Sameer while creating the algebraic equation: Sameer did not use the correct equation to model the given information.
What is algebraic equation?An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.
It is given that Three-fourths of the total number of different toppings available at the make-your-own sundae shop = 12
The algebraic equation given by Sameer is wrong, the correct equation will be:
Let the total number of toppings be x.
[tex]\frac{3}{4} x = 12\\ \\x = 12 (\frac{4}{3} ) = 16[/tex]
Learn more about algebraic equation here
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Find the percent of change from
10 yards to 15 yards
1. 5%
2. 33%
3. 15%
4. 50%
Answers
Answer:
option 4
Step-by-step explanation:
Percent change is calculated as
[tex]\frac{change}{original}[/tex] × 100%
change = 15 - 10 = 5 , then
percent change = [tex]\frac{5}{10}[/tex] × 100% = 5 × 10% = 50%
PLEASE HELP WITH THIS ONE QUESTION
A 60 cm by 80 cm photo is to be surrounded with a matting of equal width. The photo and matting is to be covered by a 1 m^2 sheet of expensive glass. Find the width of the matting.
Answers
(60cm + x) (80cm + x) = 1m^2
And then convert the m^2 to cm^2 so it’s all the same units:
1m^2 = 1m x 1m = 100cm x 100cm = 10000cm^2
So we get:
(60cm + x) (80cm + x) = 10000cm^2
Then solve for x:
(60cm + x) (80cm + x) = 10000cm^2
4800 + 140x + x^2 = 10000
x^2 + 140x - 5200 = 0
Using the quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
x = ( -140 +/- sqrt(140^2 - 4(1)(-5200)) )/ 2(1)
x = ( -140 +/- sqrt(19600 -(-20800)) )/ 2
x = ( -140 +/- sqrt(40400)) / 2
x = ( -140 + 200.9975 )/ 2
x = 30.49875
x = (140 - 200.9975)/2
x = -60.9975
So we get:
x = 30.49875 or -60.9975
The width of the matting is the part of the width underneath the photo (60cm) plus the spacing between the photo and the border, x (which would have to be 30.5 because it doesn’t make sense as a negative). So it’s:
60cm+30.50cm = 90.50 cm
The width of the matting is 90.50cm.
Which if the following is NOT a function and WHY? Provide reasoning
Answers
Answer: A
Step-by-step explanation:
A is not a function because in order to be a function. It has to pass the vertical line test. based on the graph, it doesn't pass the test. You can search up the graph on desmos.
Find the slope between these two points:
(6, -12), (15, -3)
Answers
Answer:
The slope is 1
Step-by-step explanation:
Answer:
1+6/9
Step-by-step explanation:
-3-12,
6 -15
=-15/-9=1 and6/9
Zahin has 4/6
kg of rice. She divides it into 5 equal portions to cook for dinner. How much rice, in kilograms, does she use to cook one portion for dinner?
fraction word problem
Answers
Answer:
2/15 or 0.13
Step-by-step explanation:
first you multiply 2/3 and 1/5 which gets you 2/15
the square root of a negative number is known as an _______ number
Answers
Positive number is a square root
Ming's team cleans 3 animals per hour after an oil
spill. Nina's team cleans 6 animals per hour. How
much longer does it take Ming's team to clean
12 animals?
Answers
Answer: 2 hours
Step-by-step explanation:
[tex]Mingn's \ team \\\\ 3\ animals -1 h \\\\ 12 \ animals -? h \\\\ ?=\dfrac{12}{3} =\boxed{4 \ hours}[/tex] [tex]Nina's \ team \\\\ 6\ animals -1 h \\\\ 12 \ animals -? h \\\\ ?=\dfrac{12}{6} =\boxed{2 \ hours}[/tex]
[tex]\rm Difference: \\\\4-2=\bf 2 h[/tex]
Answer:
2 hours longerStep-by-step explanation:
Time Ming's team needs:
12/3 = 4 hoursTime Nina's team needs:
12/6 = 2 hoursThe difference:
4 - 2 = 2 hoursthe flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the of the third angle of the triangle is 40° more than three times the measure of either of the other two angles, find the measure of each the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
Answers
The two equal angles are each 36°.
The third angle is 108°.
The perimeter of a poster is 16 feet. The area is 15 square feet. What are the dimensions of the poster?
Answers
I keep getting D wrong
Answers
:((( don’t know what it is supposed to be.
a bit hard. thank you if u can do it for me? <3
Answers
The triangle shown is a right triangle shown by the little square inside of it.
Area of a triangle is 1/2 x height x base
Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6
Area = 1/2 x 6 x 6 = 18 square cm
the difference of two number is 6 if the greater one is 17 find the smallest number
Answers
Answer:
11
Step-by-step explanation:
17-6=11
big brain
Answer:
11
Step-by-step explanation:
17-11=6 the smallest number is 11
9. Which lines are parallel if mZ4=mZ5? Justify your answer.
Answers
Answer:
r || s
Step-by-step explanation:
m∠4 = m∠5 Given.
These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated. If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.
What is the sum of 6.7
Answers
Answer:
the number must be greater than 6.7 Therefore the sum is negative
6.7-7=-0.3
Answer:
the number must be greater than 6.7 Thus, the sum will be negative
for example the number could be 7
Step-by-step explanation:
6.7-7=-0.3
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
Answers
One way that personally helps me remember the exponents properties is to imagine it written out with multiplication:
x^4 is the same as
x*x*x*x
And raised to 2 is the times itself a total of 2 times
(x*x*x*x) (x*x*x*x)
For a total of x^8. Or in other words, we can say we can “distribute” the double exponents.
x^8 times x^3 is
(x*x*x*x*x*x*x*x) * (x*x*x)
There are a total of 11 x’s or x^11
Another property when exponents are multiplied together is that they are added.
so
x^8 * -7 * x
is the same as
x^8 * x^3 * -7
And the answer is
x^11 * -7 =
-7x^11
Hope this helps
Find the value of x. 2x – 15 – 7x + 24 = -36
Answers
Answer:
9
Step-by-step explanation:
hlo!! dear!! glad to help u!
2x – 15 – 7x + 24 = -36
2x -7x -15 +24= -36
-5 x + 9= -36
-5 x = -36-9
-5 x =-45
x = -45/-5
x = 8
thank u!!!