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REY [17]
3 years ago
8

Apply the distributive property to factor out the greatest common factor. 35+50=

Mathematics
1 answer:
Setler [38]3 years ago
3 0
35:5*7

50: 5*2*5

85: 5*17

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Triangles Unit Test part 1 A length of rope is stretched between the top edge of a building and a stake in the ground. The head
musickatia [10]

Answer:

The building is 32 feet tall.

Step-by-step explanation:

Consider the figure drawn below representing the given scenario.

AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.

Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.

Therefore, BE = EC or E is the midpoint of BC.

Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.

Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)

So,

DE=\frac{1}{2}\times AB\\\\16=\frac{AB}{2}\\\\AB=16\times 2=32\ ft

Therefore, the building is 32 feet tall.

5 0
3 years ago
Which of the following is a trinomial with a constant term?
Furkat [3]

Answer: D. x+2y+10

Trinomial refers to the fact that the polynomial has 3 pieces (x, 2y, and 10)

Constant term means there is a term with no variable (a number with no letters attached to it: In this example, that number is 10)

6 0
3 years ago
Find each missing measure.
Anni [7]

Answer:

m∠E= 37°

m∠F=37°

Step-by-step explanation:

Total angle value: 180°

180-106=74

The lengths are the same, so we can determine that the angles E and F are the same. So we divide 74 by 2

74/2= 37

m∠E= 37°

m∠F=37°

Hope this helps! Have a nice day :)

7 0
3 years ago
Which is the best estimate of each percent? 25% of 395
NemiM [27]
First, you should say 395*25 which is 9875. Then you divide:
9875/100= 98.75 

So the answer is 98.75 :) 

Happy Thanksgiving! 
3 0
3 years ago
Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?
bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for x=-6 in the function and simplify the function.

Hence, let us substitute x=-6 in the function, we get,

f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}

Let us apply the rule -\left(-a\right)=a , we get,

f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}

Multiplying the numbers, we get,

f(-6)=\frac{100}{-10+e^{0.6}}

The value of e^{0.6}=1.822

Substituting the value of e^{0.6}=1.822 , we get,

f(-6)=\frac{100}{-10+1.822}

Subtracting the denominator, we have,

f(-6)=\frac{100}{-8.178}

Dividing, we have,

f(-6)=-12.228

Rounding off to the nearest tenth, we have,

f(-6)=-12.2

Thus, the value of f(-6) is -12.2

4 0
3 years ago
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