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igomit [66]
3 years ago
13

What is the value of x

Mathematics
2 answers:
NikAS [45]3 years ago
6 0

<u>Answer</u>

2


<u>Explanation</u>

The two angles in the diagram are directly opposite. Directly opposite angle are equal.

∴ 12x - 7 = 4x + 9

put the like terms together,

12x - 4x = 9 + 7

8x = 16

x = 16/8

  = 2

Olegator [25]3 years ago
3 0

First set up the equation 12x-7=4x+9

Get all the x's on one side and number on one side so you have 8x= 16

You get X=2

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The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the tr
Vaselesa [24]

Answer:

110 yd cubed

Step-by-step explanation:

The volume of a triangular pyramid is denoted by: V=\frac{1}{3} Bh , where B is the base area and h is the height. We already know here that B = 22 and h = 15, so we can just plug in these values:

V=\frac{1}{3} *22*15=110

Thus, the volume is 110 yards cubed.

Hope this helps!

8 0
3 years ago
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PIZZA PARTY 3 medium pizzas for $10.50 how much does it cost to buy 10 medium pizza?
Alja [10]
First you would have to find the cost for 1 medium pizza.

10.50/3=3.5

It costs $3.50 for 1 medium pizza
Next, you would have to multiply 3.5 times 10.

3.5*10=35

It costs $35.00 for 10 medium pizza's.


8 0
3 years ago
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The probability for four different simple events are given of the four which is least likely to occur
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The decimal that has the lowest number is the one least likely to occur
6 0
3 years ago
Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?
jeka57 [31]

<em>Answer:</em>

<em>2 whole 1/4</em>

<em>Step-by-step explanation:</em>

<em>When forming a perfect square trinomial you need to "complete the square". </em>

<em>All of the steps to completing the square when solving an equation: </em>

<em>1.  The leading coefficient must be 1.  </em>

<em>2.  Divide b by 2. </em>

<em>3.  Square (b/2) </em>

<em>4.  Add (b/2)^2 to both sides to keep the polynomial balanced. </em>

<em>5.  You can now write the perfect square trinomial and solve. </em>

<em><u> </u></em>

x^2 - 3x  

-3/2

(-3/2)^2 = 9/4 = 2 1/4

5 0
3 years ago
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A swimming pool is represented on a coordinate grid with the following vertices: Vertex A is at (−2,−3) . Vertex B is at ​​ (−2,
Semmy [17]

Answer:

26 yards.

Step-by-step explanation:

We can find the distance walked by Jared by finding the distances between each of the given vertex of swimming pool. We will use distance formula to find the distances between each vertex.  

\text{Distance}=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

\text{Distance between vertex A and vertex B}=\sqrt{(-2--2)^{2}+(-3-5)^{2}}  

\text{Distance between vertex A and vertex B}=\sqrt{(-2+2)^{2}+(-8)^{2}}

\text{Distance between vertex A and vertex B}=\sqrt{(0)^{2}+(-8)^{2}}

\text{Distance between vertex A and vertex B}=\sqrt{64}=8

Now let us find distance between vertex B and vertex C.

\text{Distance between vertex B and vertex C}=\sqrt{(-2-3)^{2}+(5-5)^{2}}

\text{Distance between vertex B and vertex C}=\sqrt{(-5)^{2}+(0)^{2}}

\text{Distance between vertex B and vertex C}=\sqrt{25}=5

Now let us find distance between vertex C and vertex D.

\text{Distance between vertex C and vertex D}=\sqrt{(3-3)^{2}+(5--3)^{2}}

\text{Distance between vertex C and vertex D}=\sqrt{(0)^{2}+(5+3)^{2}}

\text{Distance between vertex C and vertex D}=\sqrt{64}=8

Now let us find distance between vertex D and vertex A.

\text{Distance between vertex D and vertex A}=\sqrt{(3--2)^{2}+(-3--3)^{2}}  

\text{Distance between vertex D and vertex A}=\sqrt{(3+2)^{2}+(-3+3)^{2}}    

\text{Distance between vertex D and vertex A}=\sqrt{(5)^{2}+(0)^{2}}

\text{Distance between vertex D and vertex A}=\sqrt{25}=5

Now let us add all these distances to find the total distance walked by Jared.  

\text{Total distance walked by Jared}=8+5+8+5

\text{Total distance walked by Jared}=26  

Since we have been given that one unit on the grid equals 1 yard,   therefore, Jared walked a distance equal to 26 yards.  

3 0
3 years ago
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