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spayn [35]
3 years ago
5

Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. Parallelogram P Q R S is shown.

Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees. What is the value of x?
Mathematics
2 answers:
ch4aika [34]3 years ago
7 0

Answer:

20°

Step-by-step explanation:

the sum of the angles gives 180°

20+2x+6x=180

20+8x=180°

8x=180-20

x=160°÷8°

x=20°

thank you!

vitfil [10]3 years ago
3 0

Answer:

c) 20

Step-by-step explanation:

on edge 2021 || pls mark brainliest

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What value in place of the question mark makes the polynomial below a perfect square trinomial x^2+24x+?
kykrilka [37]

Answer:

D

Step-by-step explanation:

Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.

7 0
3 years ago
Read 2 more answers
What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
Write and equation and solve it
Vedmedyk [2.9K]

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Step-by-step explanation:

6 0
2 years ago
What’s three points that satisfy the system of inequality’s of 4x+6y<24
Vlada [557]

Answer:

(0,0), (1,1), (2,2)

Step-by-step explanation:

When testing to find possible points in situations like this, I always start by testing with the origin point (0,0).

In this case:

4x+6y<24 ==> 0 + 0 < 24  TRUE, it satisfies the inequality.

We then try with (1,1):

4x+6y<24 ==> 4 + 6 < 24  TRUE, it satisfies the inequality.

And with (2,2):

4x+6y<24 ==> 8 + 12 < 24  TRUE, it satisfies the inequality.

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2 years ago
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))
iren2701 [21]

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

5 0
2 years ago
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