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lisov135 [29]
3 years ago
10

Given an angle, draw the opposite ray of one of its sides to form a linear pair. Find the measure of the angle formed by the ang

le bisector of the given angle and the drawn opposite ray if the measure of the given angle is: 50°, 90°, and 150°.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0
<span>Let opposite ray be drawn for the base side ray of the given angle. This gives angle 180° between these two rays. Angle bisectors of the given angles 50°, 90°, and 150° make respectively half of these angles : 25° , 45° and 75° with the base ray. Then measure of the angles between the bisectors of the given angles and the drawn opposite ray are 180°-25°=155°, 180°- 45° =135° and 180°- 75° = 105° respectively.</span>
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Andrew solves 6x2=12x by using the quadratic formula. What values does he use for a, b, and c? a = (Put the number only in the b
zhenek [66]

Answer:

a=6, b=-12, and c=0

Step-by-step explanation:

The standard format for the quadratic formula is ax^2+bx+c (=0).

If we rearrange the numbers given to look like this formula, we will find the values of a, b, and c.

6x^2=12x    We can move over the 12x to the other side.

6x^2-12x=0   There is no visible value of c, but since there is no term without a variable, c=0

6x^2-12x+0=0

So a=6, b=-12, and c=0

4 0
3 years ago
For each value of y , determine whether it is a solution to -21=6y-9 . A -5, B 3 , C -2, D 9
Nezavi [6.7K]

Option C

For each value of y, -2 is a solution of -21 = 6y - 9

<u>Solution:</u>

Given, equation is – 21 = 6y – 9  

We have to find that whether given set of options can satisfy the above equation or not

Now, let us check one by one option

<em><u>Option A) </u></em>

Given option is -5

Let us substitute -5 in given equation

- 21 = 6(-5) – 9

- 21 = -30 – 9  

- 21 = - 39  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option B)</u></em>

Given option is 3

- 21 = 6(3) – 9  

- 21 = 18 – 9  

- 21 = 9  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option C)</u></em>

Given option is -2

- 21 = 6(-2) – 9  

- 21 = - 12 – 9  

- 21 = - 21  

L.H.S = R.H.S ⇒ yes a solution

<em><u>Option D)</u></em>

- 21 = 6(9) – 9

- 21 = 54 – 9  

- 21 = 45  

L.H.S ≠ R.H.S ⇒ not a solution

Hence, the solution for the given equation is – 2, so option c is correct

6 0
3 years ago
The student at Abu 's School voted for a new school mascot. 60% of the students voted to be the Falcons. If there are 595student
aniked [119]

Answer:

<h2><u>Given</u><u> </u><u>:</u><u>-</u></h2>
  • There are 595 total students in the school .
  • 60% of the total students voted to be the falcons .

\large\bf{\underline{To \:find }}

  • How many students voted not to be in falcon ?

\large\bf{\underline{Therefore  }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 100 - 60 = 40

  • 40% of the total students voted not be in falcon

\large\bf{\underline{Hence }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 40% of 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= \frac{40}{100}  \times 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2 \times 119

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 238

\bf{\underline{So , 238 \: students \:voted \:not\:to \:be\:in\: falcon }}

7 0
3 years ago
PLEASE HELP ASAP!!!! BRAINLIEST ANSWER AWAITS YOU +30 POINTS!!
tester [92]
C is the correct answer



Hope this helps :D
8 0
3 years ago
Read 2 more answers
Im not sure if anyone can help me but if you can i would really appreciate it cuz im really confused about this so thank you. al
Advocard [28]

Answer:

Question 1) 6x+5

Question 2) Blank #1: sum. Blank #2: 5. Blank #3: 4

See work in the attachment. If you're still confused, read the step-by-step explanation for a more in-depth explanation of what exactly I did for my work. Let me know if you have any questions :>

Step-by-step explanation:

For question 1, it's important to know that the perimeter is equal to the sum of all the sides. Since the shape is a rectangle, the sides opposite of each other are the same length. Thus, the left and right sides are both 3x - 3. 2(3x - 3) = 6x - 6. The unknown value, which I called a, is the same for both the top and the bottom. To find it, you must first subtract 6x - 6 from the perimeter of 18x + 4. This equals 12x + 10. Then, divide that answer by 2 to get the unknown side. You then get 6x + 5 as the answer for the unknown side.

To make sure it's correct, you can plug in a random number for x. In this case, I checked my work by plugging 2 in for x.

Perimeter = 18(2) + 4 = 36 + 4 = 40

Perimeter = 6(2) + 5 + 6(2) + 5 + 3(2) - 3 + 3(2) - 3 = 12 + 5 + 12 + 5 + 6 - 3 + 6 - 3 = 24 + 10 + 12 - 6 = 40

For question 2, the main idea you need to know is that A = lw. The area of the first rectangle is 6 * 5 = 30. The area of the second rectangle is 6 * 4 = 24. When you add them together, you get 54. The area of the rectangle that is formed when you combine rectangle 1 and rectangle 2 is 6 * 9 = 54. This shows that 6(4) + 6(5) = 6(9)

6 0
3 years ago
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