Answer:
There were 120 questions on the test.
Step-by-step explanation:
It is given that:
Number of questions answered = 54
Grade percent = 45%
Let,
x be the total number of questions
45% of x = 54
![\frac{45}{100}x=54\\0.45x = 54](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B100%7Dx%3D54%5C%5C0.45x%20%3D%2054)
Dividing both sides by 0.45
![\frac{0.45x}{0.45}=\frac{54}{0.45}\\x=120](https://tex.z-dn.net/?f=%5Cfrac%7B0.45x%7D%7B0.45%7D%3D%5Cfrac%7B54%7D%7B0.45%7D%5C%5Cx%3D120)
Therefore,
There were 120 questions on the test.
Answer:
Angle 1 is 75 degrees (c) & Angle 2 is 105 degrees (e)
Sum of 6 & 7 is 180
Step-by-step explanation:
75 degrees is directly across from angle 1, meaning they are the same. These are <em>vertical angles</em>.
Angle 2 & 75 degrees are <em>supplementary angles</em>, meaning they add up to 180 degrees.
Knowing that, we can do 180 - 75 = 105
6 & 7 are also <em>supplementary</em>, meaning that they are equal to 180 (a straight line).
Hope this helped. :)
Answer:
Minimum: (2,4)
Step-by-step explanation:
h(x)=3(
-4x)+16
=3(
-4x+4-4)+16 (- For the balance of equation, and attention 1)
=3
-3*4+16
=3
+4
<h3>Attention:</h3>
1. ![(a-b)^{2}=a^{2} -2ab+b^{2}](https://tex.z-dn.net/?f=%28a-b%29%5E%7B2%7D%3Da%5E%7B2%7D%20%20-2ab%2Bb%5E%7B2%7D)
2. The formula for the vertex form is y =
, the vertex is (h,k)
Answer:
My earlier answer was deleted, so I'm reposting. The only thing I can think happened is that I included a link to a free bar chart program, which I used for the attached chart.
Step-by-step explanation:
Make your own chart or find an online bar chart utility. I was unable to properly label the title and axes on my chart, so modify these properties.
The attached image is the rhombus in question.
To start, a rhombus will have perpendicular bisectors.
With that, we know that the section where these bisectors cross will create 90 degree angles.
So now we have angles: x, (x-10), and 90.
A triangle will total 180 degrees in total. So if we add up all of these angles, it will total to exactly 180.
In other words: 90+x+(x-10)=180.
So, in this situation, we want to isolate the variables, and find the value of x.
This is the easy part:
Here's that equation again
90+x+(x-10)=180
Subtract 90 from both sides
90-90+x+(x-10)=180-90
x+(x-10)=90
Add 10 to both sides
x+x-10+10=90+10
x+x=100
2x=100
Divide by 2 on both sides
2x/2=100/2
x=50
There's your x value.