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Alona [7]
2 years ago
8

3x+8x+6=0. 9d+16=24d.

Mathematics
2 answers:
olga_2 [115]2 years ago
4 0
The first equation would have one solution. The second equation would have one solution as well. I did this by solving it even though it says not to solve it. Some people can do it mentally while others cannot.
Sonja [21]2 years ago
3 0
X=-6/11 and d=16/15 is your answers :)
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Behind my math class help pls
vladimir2022 [97]

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

m∠2 = 2x + 54 and m∠6 = 6x - 11

Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

m∠2 = m∠6

2x + 54 = 6x - 11

flipe the equation

6x - 11 = 2x + 54

subtract 2x from both sides

6x - 2x - 11 = 2x - 2x + 54

4x - 11 = 54

adding 11 to both sides

4x - 11 + 11 = 54 + 11

4x = 65

dvide both sides by 4

4x/4 = 65/4

x = 16.2500    (round to 4 decimal places)

Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

        = 2(16.2500) + 54

        = 86.5°

As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

i.e.

m∠1 + m∠2 = 180°

substituting m∠2 =  86.5° in the equation

m∠1 + 86.5°  = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

  • m∠1 = 93.5°
4 0
3 years ago
Find the volume of the prism and please show work. (P.s it’s not 100 or higher)
Karolina [17]
3.5*12*11
    


solve it.............

4 0
3 years ago
The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?
Phoenix [80]
Let's represent the two numbers by x and y.  Then xy=60.  The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0.  Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191.  Because the discriminant is positive, this equation has two real, unequal roots, which are
        -(-7) + sqrt(191)
y = -------------------------
             -2(1)

and 

        -(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
             -2(1)

Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.


Try thinking this way:  If the LCM is 60, then xy = 60.  What would happen if x=5 and y=12?  Is xy = 60?  Yes.  Is 5 seven less than 12?  Yes.






5 0
3 years ago
A) .2<br> B).25<br> C).35<br> D).4
Lesechka [4]

Answer:

2 the answer cause 2×2=4

7 0
2 years ago
What is the difference between 2,386 and 7,000?<br> A. 9,386<br> B. 4,614<br> C. 5,614<br> D. 10,386
Anuta_ua [19.1K]
If you would like to know what is the difference between 7000 and 2386, you can calculate this using the following steps:

difference between 7000 and 2386:
7000 - 2386 = 4614

The correct result would be B. 4614.
7 0
3 years ago
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