1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katen-ka-za [31]
2 years ago
7

Given in the figure below, find the values of X and Z.

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

Answer:

\boxed{x=9}\\\boxed{z=76}

Step-by-step explanation:

Hello There!

<u>Geometry</u>

The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles

Vertical angles are congruent so we can use this equation to solve for x

<u>Basic Algebra</u>

11x + 5 = 5x + 59

step 1 subtract 5x from each side

5x - 5x cancels out

11x - 5x = 6x

now we have 6x + 5 = 59

step 2 subtract each side by 5

5 - 5 cancels out

59 - 5 = 54

now we have 54 = 6x

step 3 divide each side by 6

6x/6=x

54/6=9

we're left with x = 9

now we want to plug in 9 into x for one of the expression

11(9) +  5

11 * 9 = 99

99 + 5 = 104

so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees

Now we need to find z

<u>Geometry</u>

The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180

So to find z we subtract the known angle (104) from 180

180 - 104 = 76

so we can conclude that z = 76

You might be interested in
Which of the following statements describe the graphs of the solution set flr this inequality select two that apply
Helga [31]

Answer:

1st . The shaded region of the graph ....

2nd. The graph line is solid.

4th. The ordered pair (2 ; 5) is part of the solution set.

Step-by-step explanation:

. Because y is <u>greater</u> or equal than the line, everything above the line is part of the solution.

. Since y is greater or<u> equal</u>, the line is solid. If y was only greater the line would have been dotted.

. The pair (2 ; 5) represent the x = 2 w/ y = 5, and reading the graph you can see the at this point the lines passes through it.

7 0
3 years ago
A school survey reported that 16.% of the students in Zed's homeroom class ride their bikes to school. This percent represents a
Lilit [14]

Answer:

16 3/5

Step-by-step explanation:

thank divinesworldtv they have the right answer

7 0
3 years ago
Solve for x in the equation x^2+4x-4 = 8.
ollegr [7]

Answer:

Its the first choice.

Step-by-step explanation:

x^2+4x-4 = 8

x^2 + 4x - 4 - 8 = 0

x^2 + 4x - 12 = 0

(x + 6)(x - 2) = 0

x = -6, 2.

8 0
3 years ago
Identify the vertex, focus, and directrix. y=1/8y^2
Brut [27]
If all the equations for the directrix are "x = " lines then this is a y^2 parabola.  The actual equation is x= \frac{1}{8}y^2.  The standard form for a positive sideways-opening parabola is  (y-k)^2=4p(x-h).  We know from the equation that the vertex of the parabola is at the origin, or else the translation would be reflected within the parenthesis in the equation.  Our equation has no parenthesis to indicate movement from the origin.  The vertex is (0, 0).  Got that out of the way.  That simplifies our standard form down to  y^2=4p(x).  Let's take a look at our equation now.  It is  x= \frac{1}{8}y^2.  We could rewrite it and make it a closer match to the standard form if we multiply both sides by 8 to get rid of the fraction.  That gives us an equation that looks like this:  y^2=8x.  That means that 4p = 8, and p = 2.  p is the distance that the focus and the directrix are from the vertex.  Since this is a positive parabola, it opens up to the right.  Which means, then, that the focus is to the right of the vertex, 2 units to be exact, and the directrix is 2 units to the left of the vertex.  The formula for the focus is (h + p, k).  Our h is 0, our k is 0 and our p is 2, so the coordinates of the focus are (2, 0).  Going 2 units to the left of the origin then puts our directrix at the line x = -2.  Your choice then as your answer is b. 
6 0
3 years ago
Please help me answer this ​
jonny [76]
The answer is 112 im pretty sure!
4 0
3 years ago
Other questions:
  • What is 1% of 12.54?
    13·2 answers
  • I need help with this question
    9·2 answers
  • Vince works for 4 hours. He gets paid £24. Vince works for 8 hours. He gets paid £50. Is Vince's pay directly proportional to th
    9·1 answer
  • Your name is included in a list of 6 names. One name is selected at random. Write the probability, as a decimal, that it is your
    11·1 answer
  • Can someone help me please asap because I'm late with this and I need help with this down below
    9·1 answer
  • the number of feet between two objects varies directly as the number of miles.if the distance between two objects is 2 and one h
    10·2 answers
  • What is the vertex of the function f(x) = x2 + 12x?
    9·1 answer
  • F(x) = –22 + 6<br> Find f(-1)
    7·1 answer
  • Which ordered pair makes both inequalities true?<br> y&gt;-2x + 3<br> y
    6·1 answer
  • If you were to graph the point -4 -3 it would fall in the third quadrant true false
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!