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Vesna [10]
10 months ago
13

Find mZXZx(5t - 13°Y(3t+ 3)

Mathematics
1 answer:
trapecia [35]10 months ago
7 0

The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.

From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.

Therefore, we would have;

\begin{gathered} 5t-13=3t+3 \\ \text{Collect all like terms and you'll have,} \\ 5t-3t=3+13 \\ 2t=16 \\ \text{Divide both sides by 2} \\ \frac{2t}{2}=\frac{16}{2} \\ t=8 \\ \text{If t=8, then} \\ 5t-13=5(8)-13 \\ 5t-13=40-13 \\ 5t-13=27 \end{gathered}

This means angle X and angle Y both equal 27 degrees each.

Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,

undefined

You might be interested in
How much is 1 foot line of quarters worth
Alborosie

a quarter is 1.75 mm thick

1 mm = 0.0393701 inches

0.0393701/12 = 25.4 mm per inch

25.4/1.75 = 14.5 quarters per inch

14.5 x 12 = 174 quarters per foot

174 x 0.25 = 43.50

$43.50 for a foot of quarters


5 0
3 years ago
Can someone explain how to get the answer, please? Thanks!
Irina18 [472]
The mean is 10,

The median is 10,

And there is no mode.



The mean of a set of numbers is the sum divided by the number of terms,

7+15+12+6+10=50

There are 5 numbers in the set,

50/5=10.
10 is the mean.



Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers,

6, 7, 10, 12, 15,

10 is in the middle so it is the median.



The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.




Just so you don’t confuse the data with the group sets,

The actual data set is 7, 15, 12, 6, and 10

This data paired with score column or group set means that,

10 people got a score of 1-10
6 people got a score of 11-20
12 people got a score of 21-30
15 people got a score of 31-40
And 7 people got a score of 41-50 :)
4 0
2 years ago
Consider the region bounded by 4y=x^2 and 2y=x.
gayaneshka [121]

Answer:

a) ⅓ units²

b) 4/15 pi units³

c) 2/3 pi units³

Step-by-step explanation:

4y = x²

2y = x

4y = (2y)²

4y = 4y²

4y² - 4y = 0

y(y-1) = 0

y = 0, 1

x = 0, 2

Area

Integrate: x²/4 - x/2

From 0 to 2

(x³/12 - x²/4)

(8/12 - 4/4) - 0

= -⅓

Area = ⅓

Volume:

Squares and then integrate

Integrate: [x²/4]² - [x/2]²

Integrate: x⁴/16 - x²/4

x⁵/80 - x³/12

Limits 0 to 2

(2⁵/80 - 2³/12) - 0

-4/15

Volume = 4/15 pi

About the x-axis

x² = 4y

x² = 4y²

Integrate the difference

Integrate: 4y² - 4y

4y³/3 - 2y²

Limits 0 to 1

(4/3 - 2) - 0

-2/3

Volume = ⅔ pi

7 0
3 years ago
Could you please help me I don’t really understand this pleaseeeeeee?
likoan [24]
B has to be 70° and A has to be 115° so I’m confused by your options
7 0
3 years ago
The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the
SVEN [57.7K]
Given,
The sum of three integers is 92

So,
Let,
The first integer be "x"
The second integer be "y"
The third integer be "z"

Now,
According to the question,
y = 3x          ..............equation (1)
z = 2x - 10    .............. equation (2)
x + y + z = 92 ..............equation (3)

Now,
Substituting the value of "y" and "z" from equation (1) and (2), we get,

x + (3x) + (2x - 10) = 92
    x + 3x + 2x - 10 = 92
                  6x - 10 = 92
                         6x = 92 + 10
                           x = 102 / 6
                           x = 17

Now,
substituting the value of "x" in equation (1)
 y = 3 (17)
y = 51

Now,
Substituting the value of "x" in equation (2),

z = 2 (17 ) - 10
z = 34 - 10
z = 24


So, the numbers are 17, 51 and 24


NEVER HATE MATH!!!
3 0
3 years ago
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