HELP WITH MY MATH EXAM i don't know what to do and my head hurts a lot
Answers
Answer:
x = 154/13
Step-by-step explanation:
You are given the measures of all three angles in a triangle
so according to the Triangle Sum Theorem:
∠MNO + ∠OMN + ∠NOP = 180
1. Substitute the measures of the angles into the equation:
(3x + 11) + (2x + 20) + (8x - 5) = 180
2. Combine like terms:
(3x + 2x + 8x) + (11 + 20 -5) = 180
13x + 26 = 180
3. Isolate x by subtratcing 26 from both sides
13x + 26 -26 = 180 -26
13x = 154
4. Solve for x by dividing both sides by 13
13x/13 = 154/13
x = 154/13
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How do you write 282% as a decimal
Answers
Step-by-step explanation:
Given : The Smiths spend 6% of their budget on entertainment.
i.e. , The money they spend on entertainment = 0.06 x ( Total budget)
{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)
Since , this year they plan to spend $2,580 on entertainment.
i.e. 0.06 x ( Total budget ) = $2,580
On dividing both sides by 0.06 , we get
( Total budget ) = $2,580 ÷ 0.06
= $43,000
Thus , their total budget for this year = $43,000
Also, Their total budget this year is $3,000 more than last year.
Therefore , their last year total budget = ( Total budget this year ) - $3000
= $43,000 - $3000
= $40,000
Hence, their total budget last year was $40,000.
Hope this helps! Also can I have brainliest? It’s ok if no :) have a nice day.
Answers
Answer: 95cm^2
Step-by-step explanation:
Make smaller shapes then add all the areas up together at the end.
6*4 = 24cm^2
3*2 = 6cm^2
For the base of the triangle:
10+3 = 13cm^2
Area of a triangle = (b*h)/2
(13*10)/2 = 65cm^2
65cm^2 + 13cm^2 + 24cm^2 = 95cm^2
Answers
The augmented matrix represents the situation that will be, .
What is an augmented matrix?
The columns of two matrices are combined to create a new matrix known as an augmented matrix.
When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.
Let us consider x is the oak tree and y is the maple tree then;
⇒3 oak trees and 4 maple trees for $380;
⇒3x+4y = 370
⇒Purchases 2 oak trees and 5 maple trees for $370;
⇒2x+5y=370
The two equations are expressed in the matrixas;
Hence, the augmented matrix represents the situation that will be, .
To learn more about the augmented matrix refer;
#SPJ2
B. (6, 0)
C. (0, 3)
D. (3, 0)
Answers
set y=0
4x+2(0)=12
4x+0=12
4x=12
divide by 4
x=3
(x,y)
(3,0)
D is answer
Answer:
Option (d) is correct.
The x- intercept of the line with the given equation of 4x + 2y = 12 is (3,0)
Step-by-step explanation:
Given : Equation of line 4x + 2y = 12
We have to find the x- intercept of the line with the given equation of 4x + 2y = 12 and choose the correct option from the given equations.
Consider the given equation 4x + 2y = 12
x intercept is defined as a point where the line cuts y axis that is where point y is 0.
Put y = 0 , we have,
4x + 2(0) = 12
4x = 12
Divide both side by 4, we get,
x = 3
Thus, the x intercept of the line with the given equation of 4x + 2y = 12 is (3,0)
Answers
Answers
For 4 and x. Geometric Mean = √4x and this is equal to √6
√4x = √6 Square both sides. The square root disappears.
4x = 6
x = 6/4 = 3/2 = 1.5
The other number is 1.5.