Find the values of x,y,z. This diagram is not a scale.

Answers

Answer 1

Answer:
Important:
   The sum of the three angles inside
      every triangle is always 180°.

First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
   x = 76° .

At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°).    z = 104° .

Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
(13° + 104°) = 117° .
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
   y = 63° .

Answer 2

Answer:

Answer:

c. x= 76, y= 63, z= 104

Step-by-step explanation:

First, you have to use the InteriorAnglesTheorem[m<1 + m<2 + m<3 = 180°] to find the m<x:

46° + 58° + 76° = 180°

Now that you have the m<x, to find the m<z, you have to use the SupplementaryAnglesTheorem,which statesthat two angles [in this case] add up to 180°:

76° + 104° = 180°

Finally, to find the m<y, you again have to use the InteriorAnglesTheorem:

13° + 63° + 104° = 180°

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the point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

y - 1 = 0.25(x - 12)
y - 1 = 0.25(x) - 0.25(12)
y - 1 = 0.25x - 3
+ 1   + 1
  y = 0.25x - 2
  -0.25x + y = 0.25x - 0.25x + 2
-0.25x + y = 2
  -1(-0.25x + y) = -1(2)
-1(-0.25x) - 1(y) = -2
0.25x - y = -2

A bookstore had 160 copies of magazines. yesterday it sold 3/8 of them. how many copies were sold yesterday?

Answers

If the bookstore has 160 copies, and they are dividing them into eights, then you need to divide 160 by 8. This will give you 20. That means that there are 20 copies of the magazine in each eighth. But they sold 3/8 of the magazines, not 1/8. So 20 x 3 equals 60. 3/8 of 160 is 60. The store sold 60 magazines yesterday.

This problem can be solved by simply multiplying 160 by 3/8.
$(3)/(8)$ x 160
$(3)/(8)$ x $(160)/(1)$
$(480)/(8)$
$60$
The bookstore sold 60 magazines yesterday.

Four people in a room. Each shakes hands with each of the others once. How many handshakes are there? 6
10
12
16
22

Answers

The correct answer is 6.

The clearest way to determine this is by creating a table of possible hand shaking. If we label the people A-D, the following are the ways they can be combined:
AB
AC
AD
BC
BD
CD

There are no other combinations.

There are 6 handshakes betweenfour people in the room.

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

$\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }$

Permutation ( Arrangement )

Permutation is the number of ways to arrange objects.

$\large {\boxed {^nP_r = (n!)/((n - r)!) } }$

Combination ( Selection )

Combination is the number of ways to select objects.

$\large {\boxed {^nC_r = (n!)/(r! (n - r)!) } }$

Let us tackle the problem.

This problem is about Combination.

If there are 4 people in a room , then the number of handshaking between 2 people is analogy as selecting 2 people from 4 people available. We will use combination formula in this problem.

$^4C_2 = (4!)/(2! (4-2)!)$

$^4C_2 = (4!)/(2! 2!)$

$^4C_2 = (4 * 3 * 2 * 1)/(2 * 1 * 2 * 1)$

$^4C_2 = ( 24 )/(4)$

$^4C_2 = \boxed{6}$

Learn more

Different Birthdays : brainly.com/question/7567074
Dependent or Independent Events : brainly.com/question/12029535
Mutually exclusive : brainly.com/question/3464581

Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

Please help, the questions just have to be simplified

Answers

$6c^2d^(-3)\ *\ 3c^3d^(-4)=6\cdot3\cdot c^(2+3)d^(-3+(-4))=18c^5d^(-7)=(18c^5)/(d^7)$

$(-16p^6q^5)/(20q^7)=-(16)/(20)p^6q^(5-7)=-(4)/(5)p^6q^(-2)=-(4p^5)/(5q^2)$

$6c^2d^(-3)\cdot3c^3d^(-4)=(18c^5)/(d^7)\n\n (-16p^6q^5)/(20q^7)=-(4p^6)/(5q^2)$

Anthony has a part-time job. He decides to save $10 for every $50 that he spends. Final question: If Anthony saved $60, how much money did he earn?

Answers

Answer:

300$

Step-by-step explanation:

If he save 10 for every 50, you just divide. 60/10 = 6. He saved 6 times, if each time he saves he has 50 extra dollars, 6 * 50 = 300 because 6*5 = 30 and there is a extra 0 so 30 and 0 is 300

How else can the ratio 14:1 be written?

A. 1:14 B. 1.4 C. 1⁄14 D. 14⁄1

Answers

You can write the ratio in fraction form.
So, we are given 14:1
fraction form will be $(14)/(1)$
So correct option is D

14 /1 will be the correct answer