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pychu [463]
3 years ago
12

PLZ HELP!!! 20 POINTS!!!

Mathematics
1 answer:
dangina [55]3 years ago
4 0

Answer: \\ Since \:  \widehat{SRT} = \widehat{STR} \:  \\and \:  \widehat{RTU} = \widehat{STR} + \widehat{STU} = 180^{\circ}  \\ \Rightarrow  \widehat{SRT} + \widehat{STU} = 180^{\circ} \\ \Leftrightarrow 4x - 20 + 6x = 180 \\ \Leftrightarrow10x = 200 \\ \Leftrightarrow x = 20 \\ \widehat{SRT} = 4 \times 20 - 20 = 60^{\circ}

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Sabendo que "K" satisfaz a equação {2(k-8) + 3(-k+1) = -4k +11} Os valores reais de x que satisfazem a equação 15x² - kx + 1 = 0
erastova [34]

Answer:

D) 1/5 e 1/3

Step-by-step explanation:

You have the following quadratic equation:

15x^2-kx+1=0           (1)

In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:

2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8

Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:

15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}

Then, the roots of the equation (1) are

D) 1/5 e 1/3

5 0
3 years ago
A geometry class has a total of 27 students. The number of females is 13 less than the number of males. How many males and how m
boyakko [2]

Answer:

20 males and 7 females

Step-by-step explanation:

Let's say the number of females is x and the number of males is y.

We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.

There are 13 fewer females than males, so: x = y - 13.

Now, we can use substitution to solve this system of linear equations.

Since x = y - 13, we can plug in y - 13 for x in x + y = 27:

x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20

Then, we use this value of y to solve for x:

x = y - 13 = 20 - 13 = 7

Thus, there are 20 males and 7 females.

Hope this helps!

6 0
3 years ago
Read 2 more answers
A 3-yard roll of butcher paper costs $8.55. What is the price per foot?<br>​
Zielflug [23.3K]

Answer:

$2.85

Step-by-step explanation:

8.55/3

8 0
3 years ago
Read 2 more answers
Simplify the expression, show all of your work.<br> 3 +<img src="https://tex.z-dn.net/?f=5%5E%7B2%7D" id="TexFormula1" title="5^
Burka [1]

Answer:

16

Step-by-step explanation:

=3+25−9÷3(4)

=28−9÷3(4)

=28−(3)(4)

=28−12

=16

I hope this helps. Have a good day!!

7 0
3 years ago
Can yall pls help !!!
motikmotik

Answer:

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Step-by-step explanation:

Step-by-step explanation:

5 0
3 years ago
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