In the figure alongside, AB⊥BC and a-b =10° then find the value of a and b​

With the help of factorisation we can conclude our answer.

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80°,20° or 50°,50° are possible for the other two angles.

Given:

One angle of an isosceles triangle measures 80°.

we assumed that the 80° is one of the equal angles, then there is another 80° angle.That makes 160°.

Since a triangle always totals 180°,

180° - 160° = 20°.

if the 80° was the only different angle instead,the two remaining angles total:

180 - 80 = 100

Since we have two identical angles remaining, we need only divide the 100° in half to get the final answer:

100/2 = 50°.

Therefore 80°,20° or 50°,50° are possible for the other two angles.

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The total number of miles for the four trips is 25 miles.

Given that;

Linda traveled for one hour each day for four days at a speed that made her cover one mile in an even number of minutes. After the first day, she started to lose speed, and it took her 5 minutes longer to complete a mile than the day before. Her journey distance was also an integer amount of miles throughout the four days.

We know that,

Distance is a product of speed and time. We need to find the distance here with the use of the given conditions, time is 1 hour.

Speed = Distance / Time

Hence, speed is 1 mile per x minutes because we want to distance by multiplying the time and speed together yielding 60 min * 1 mile / x mins.

Minutes cancel out, so now we have 60/x as our distance for the first day.

The distance for the given case;

⇒ [tex]\frac{60}{x},\frac{60}{x+5},\frac{60}{x+10},\frac{60}{x+15}[/tex]

It is given that x = 5;

⇒ [tex]\frac{60}{5},\frac{60}{10},\frac{60}{15},\frac{60}{20}[/tex]

= 12 + 6 + 4 + 3

= 25

The total number of miles for the four trips is 25 miles.

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Answer:

See below

Step-by-step explanation:

.105    is    105   THOUSANDTHS    or   105/1000

  Divide top and bottom by '5'

    to get   21/100

Answer:

5/11 > 4/9

Step-by-step explanation:

5/11 = 0.45454545....

4/9 = 0.44444444....

Answer:

a = 5 cm

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (13)² = a² + (12)²

→ 169 = a² + 144

→ a² = 169 - 144

→ a = √25

→ [ a = 5 cm ]

Hence, value of a is 5 cm.

The point slope and the intercept form is y = -3x + 11

One of the most popular ways to represent a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).

This written in the form of y = ax + b

where a is the slope and b is the intercept

We have the equation as

y + 4 = - 3 ( x - 5 )

we would have to open the bracket and then take the like term

this is going to be

y  + 4 = -3x + 15

From here we would get the like term

y = -3x + 15 -4

y = -3x + 11

The slope is -3 and the intercept is 11.

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Answer:

9

Step-by-step explanation:

Pythagorean triples. 3, 4, 5. Multiply by 3 and get 9.

0.001828 (option b) is the probability that the hand contains 4 jacks .

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

Number of ways to pick the four jacks = 4C4

Number of ways to pick the other 8 cards from 48= 48C8

Number of ways to pick a hand of 12 from the full deck = 52C12

P(4 J's and 8 others)= [4C4*48C8]/52C12 = 377348994/2.06379...x10^11

=0.001828...

------------

This is the same as the probability of picking 8 cards that are not

jacks in a hand of 12 cards or 48C8/52C12.

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Step-by-step explanation:

6.

the factors need to be zero for the x-intercepts.

but (-3 - 3) = -6 and not 0.

the same for (-7 - 7) = -14 and not 0.

his mistake was the signs.

what do I need to add to -3 to get 0 ? 3. and 7 to -7.

so, the correct f(x) is

f(x) = (x + 3)(x + 7)

to get x-intercepts at -3 and -7.

7.

in the same way we get the factors here : for a given x the y value has to be 0.

how is y turning 0 for a polynomial in factor form ? well, at least one of the factors has to be 0.

therefore, for (-6, 0) the factor has to be

(x + 6) as -6 + 6 = 0

for (2, 0) the factor has to be

(x - 2) as 2 - 2 = 0

pick one of them as your answer. they are both correct factors for f(x).

Answer: $58.50

Step-by-step explanation:

    We will set up a proportion to help us solve.

[tex]\displaystyle \frac{15\; \text{boxed lunches}}{\$175.50} =\frac{5\; \text{boxed lunches}}{\$x}[/tex]

     Next, we will cross-multiply.

15 * x = 175.5 * 5

15x = 877.5

x = $58.50

The linear equation parallel to 8y=6x+5  is:

y = (3/4)*x - 4

Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.

Here we want to find a line parallel to:

8y = 6x + 5

Rewriting this in slope-intercept form we get:

y = (6x + 5)/8

y = (3/4)*x + 5/8

Then a parallel line to this one will be:

y = (3/4)*x + b

To find the value of b, we use the fact that this line must pass through the point (-8, -10).

-10 = (3/4)*(-8) + b

-10 = -6 + b

-10 + 6 = b

-4 = b

Then the linear equation is:

y = (3/4)*x - 4

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Answer:

[tex]\boxed{\sf Slope( m)=-\cfrac{3}{4}}[/tex]

Step-by-step explanation:

To find the slope between two points we'll use the Slope formula:-

[tex]\boxed{\sf \mathrm{Slope(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

______________

Given:-

Where,

[tex]\mathrm{\left(x_1,\:y_1\right)=\left(3,\:-4\right)}[/tex]

[tex]\mathrm{\left(x_2,\:y_2\right)=\left(-5,\:2\right)}[/tex]

[tex]\mathrm{m=\cfrac{2-\left(-4\right)}{-5-3}}[/tex]  ← Subtract

[tex]\sf m=-\cfrac{6}{8}[/tex]

[tex]\sf m=-\cfrac{3}{4}[/tex]

Therefore, the slope of the line is m = - 3/4.

______________________

Hope this helps!

Have a great day!

Answer:

the bakery sold 1468 blueberry buns sooooo yeah

Step-by-step explanation:

The graph has no vertex

The transformations from the parent function are

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

Here, we have:

This transformation can be represented as (x - 4, y - 2)

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Answer:I think is am B

Step-by-step explanation:

Step-by-step explanation:

(5x)°+(3x+4)°=180°

5x+3x+4=180

8x=176

x=22

D=5x

D=110°

The most likely problem with the sample they gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

Thus, the most likely problem with the sample lycos web site gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

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Answer:

24.41

Step-by-step explanation:

a^2+b^2=c^2

14^2+20^2=c^2

196+400=596

14^2+20^2=24.41^2

Answer:

False

Step-by-step explanation:

If is a real number and m and n are positive integers

The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

The given condition needs the following function;

Data Integration Error:

Data from a single source, obtained and entered in the same way across time is unusual to be present in a database of significant size and age. A database frequently comprises data that has been gathered over time from various sources using various ways. As an illustration, consider how the meaning of "affected" is evolving or changing as the crisis progresses and the number of people affected is tracked over time. In addition, many databases evolve in practice by joining together different pre-existing databases. Almost always, the databases involved in this merging effort include discrepancies involving various data units, measurement intervals, formats, etc. Any process that combines data from various sources has the potential to make mistakes. When two or more databases are combined, errors will be found where there are discrepancies between the databases as well as new errors will be produced (i.e. duplicate records). A few potential origins and types of errors in a big assessment are shown in Table 1 below, at three fundamental levels: after completing the survey, when adding information to the database, and when conducting the analysis.

So, we use " COUNTA "

The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

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Answer:

length is 20 yards, width is 15 yards

Step-by-step explanation:

Length = width + 5

2(W + 5) + 2(W) = 70

2W + 10 + 2W = 70

4W + 10 = 70

4W = 60

W = 60 ÷ 4

W = 15 yards

L = 15 + 5

L = 20 yards

72 three course meals we can order.

Question states that;

A restaurant offers a special menu with three salad options, six meal options, and eight dessert options.

Counting Principle:

The counting rule is another name for the Fundamental Counting Principle. It's a way to figure out how many possible outcomes there are in a probability word problem. Probability is the likelihood that an event will occur. An event's probability is always a number between 0 and 1. The probability of all events added together equals one.

We need to find how many three course meals we can order;

Total number of ways,

P(A) = 3 * 6 * 8

P(A) = 72

72 three course meals we can order.

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The change that Tamir would have to receive would be: $5.75

We would first have to solve for the total amount of the tickets that Tamir has received

This would be given as

32.5 + 26.5 dollars

= 59 dollars

Given that he has a 1/4 off in both of the tickets the amount that he would have to pay would be

59 - 1/4 * 59

59 - 14.75

= $44.25

This is the amount that he would have to pay for the coupons.

Given that he used a $50 bill, we would have to solve for his change.

This would be solved as $50 - $44.25

= 5.75

Hence his change is going to be $5.75

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Answer:

£9

Step-by-step explanation:

1:8=9

?:72

72÷9=8

9×1=9

The number of centerpieces that she can make, using proportions, is of:

25.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem, and basic arithmetic operations, especially multiplication or division, to find the desired amounts in the same context of this problem.

In the context of this problem, the number of centerpieces is given by the division of the the total number of flowers by the number of flowers in each centerpiece.

The amounts are given as follows:

Hence the division giving the number of flowers per centerpiece is:

n = 430/17 = 25.2.

The amount is rounded down to 25, as for 26 centerpieces, more flowers would be needed.

Hailey is making floral centerpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project.

How many complete centerpieces can she make? Find the exact answer.

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The number of different ways to arrange 7 video games is  = 7!

The question requests for the number of arrangements; That means we're dealing with permutation

the number of video games is 7;

To arrange 7 games, we make use of the following permutation formula;

[tex]^{n}P_{n} = \frac{n!}{(n-n)!}[/tex]

So, we have

n=7

No. of ways we can arrange is = [tex]\frac{7!}{(7-7)!}[/tex] = 7!

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