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Elodia [21]
3 years ago
8

Use the diagram to solve for the three variables so that the quadrilateral will be a rhombus. Show all of your work for full cre

dit.

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0

Answer:

  • x = 4
  • y = 4
  • z = 7

Step-by-step explanation:

Each triangle is a right triangle, and all are congruent. So ...

  90 -m∠CAB = (1/2)m∠CDA

  90 -(4x +33) = (1/2)(12x +34)

  57 -4x = 6x +17 . . . . . . . eliminate parentheses

  40 = 10x . . . . . . . . . . . . .add 4x-17

  4 = x

We also have ...

  2m∠CAD = m∠BCD

  2(3z +28) = 10z +28

  6z +56 = 10z +28 . . . . . eliminate parentheses

  28 = 4z . . . . . . . . . . . . . .subtract 6z+28

  7 = z . . . . . . . . . . . . . . . . divide by 4

Since BC = CD ...

  x = y = 4

The values of the three variables are ...

  x = 4, y = 4, z = 7.

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Y + 0.4= 2<br> Help me please PLEASE
Dmitry [639]

Answer:

y= 1.6

You make 2 a decimal by adding .0 at the end (2.0). Then you subtract 0.4 by 2.0 which equals 1.6.

3 0
4 years ago
Leon graph y=12- 0.05 x to represent the number of gallons of gas left in his car after driving x miles.
mario62 [17]

Answer:

B

Step-by-step explanation:

Range of the graph is the ALLOWED y-values. The y-axis is number of gallons left in tank. So, <u><em>it cannot be NEGATIVE number of gallons, so 0 is the lower limit of the range.</em></u>

<u><em /></u>

As we can see from the axis of the graph, we see where the line cuts the y-axis, that is the upper limit of number of gallons he starts off with. The y-intercept (y-axis cutting point) is 12.

So we can say that the range is  0 ≤ y ≤ 12

Correct answer is B

5 0
3 years ago
In the parallelogram below, x=​
zysi [14]

Answer:

23°

Step-by-step explanation:

By interior angle sum postulate of a triangle.

x = 180° - ( 124° + 33°)

x = 180° - 157°

x = 23°

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to 6 x 2/3?<br>a. 3 x 1/3<br>b. 4 x 1/3<br>c. 8 x 1/3<br>d. 12 x 1/3
sesenic [268]
D. 12 x 1/3 

You just had to multiply 6 x 2/3 which gives you 4.

Then, multiply all of your answer choices and see which one also gives you 4. D is the only one.


6 0
4 years ago
5.) During the school year, teachers save money for use during the summer, when they are
BARSIC [14]

Answer:

Step-by-step explanation

1242 / 23 = 54

He will run out of money in 54 days

3 0
3 years ago
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