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juin [17]
3 years ago
13

Would appreciate it, if anyone could help with this.

Mathematics
2 answers:
Mkey [24]3 years ago
7 0

Answer:

x=25

Step-by-step explanation:

The lines intersect and create vertical angles. The two angles are vertical, so we can set them equal to each other.

5x+4=8x-71

First, we must get all the constants to one side and all of the terms with variables to the other side.

71 is being subtracted and the inverse of subtraction is addition. Add 71 to both sides of the equation.

5x+4+71=8x-71+71

5x+(4+71)=8x

5x+75=8x

Next, subtract 5x from both sides of the equation to get all the terms with variables to one side.

5x-5x+75=8x-5x

75=8x-5x

75=3x

Finally, divide both sides by 3. We divide because x and 3 and being multiplied and the inverse of multiplication is division.

75/3=3x/3

75/3=x

25=x

The value of x is 25.

Tema [17]3 years ago
6 0
Since they are intersecting lines, you would equal them to each other.
(5x+4)= (8x-71)
-8x. -8x
-3x + 4 = -71
- 4. -4
-3x = -75
Divide 3x by both sides gets you x = 25
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Answer:

DM=12

Step-by-step explanation:

(Let the point where the altitude from D intersects AB be called as point E.) First, let's find the area of parallelogram ABCD. The area of a parallelogram is simply b*h=bh, where b is the parallelogram's base and h is the parallelogram's height. If we let AB and DE be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram ABCD will be AB*DE=15*8=120.

Now, how does this information matter, you might ask? Well, we can take either AB <em>or </em>CB to be the base and either DE or DM to be the height. In this case, let's take the latter two options, as we are looking to find the length of DM.

Therefore, we know that the area of parallelogram ABCD can also be found by calculating CB*DM. Since we know the values of the area and CB, we can write the following equation to solve for DM:

Area = CB*DM

120=10*DM (Substitute Area=120 and CB=10 into the equation)

\frac{120}{10}=\frac{10*DM}{10} (Divide both sides of the equation by 10 to get rid of DM's coefficient)

12=DM (Simplify)

DM=12 (Symmetric Property of Equality)

Hope this helps!

4 0
3 years ago
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Lucas used the number sentence 8 x 2 = 16 to solve a problem. Which problem could he have solved? ​
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Word problem 3        

Step-by-step explanation:

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3 years ago
Decorations for a seventh-grade dance take 1/6 of the student council's budget. entertainment takes 3/8 of the budget. what frac
defon

Answer:

11/24 is left over

Step-by-step explanation:

1/6 + 3/8 = 13/24

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5 0
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