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marin [14]
2 years ago
7

What is 29.1 + 78.9+ 41.5

Mathematics
2 answers:
kondor19780726 [428]2 years ago
8 0

Answer:

149.50

Step-by-step explanation:

i did 29.1+78.8 = 107.90+ 41.5 and that's how i got 41.5

trapecia [35]2 years ago
4 0

Answer:

149.5

Step-by-step explanation

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Based only on the information given in the diagram, which congruence
romanna [79]
<h3>1 Answer: Choice D) SAS</h3>

=================================================

Explanation:

LA stands for Leg Angle. More specifically, the angle is an acute angle. This theorem only works for right triangles. We see that ED = LK which is one pair of congruent leg segments. So that takes care of the L part of LA. However, we don't know anything about the acute angles. We don't know if angle E = angle L, or if angle F = angle M, or something along those lines. We need angle markers to tell us or not.

In short, we only have half the info needed for LA, so we must cross choice A off the list.

----------------

HA stands for hypotenuse angle, or hypotenuse acute angle, and this rule only applies for right triangles. We don't know anything about the hypotenuse lengths if they are the same or not.

Similar to choice A, we don't know anything about the acute angles either.

Those two facts mean we must cross off choice B.

----------------

AAS stands for Angle Angle Side. The order is important because the side is not between the angles. The diagram only shows one pair of angles that are congruent to one another. That pair being the 90 degree angles indicated with the square marker. We don't have another pair of angles, so we cannot use AAS.

Cross choice C off the list.

-----------------

We can use SAS because we have two pairs of congruent sides and one pair of congruent angles.

The congruent sides are

  • ED = LK (double tickmarks)
  • DF = KM (single tickmarks)

That takes care of the two "S"s of "SAS". The "A" would be those two right angles which are congruent to one another. The angles are between the congruent sides which is important. Recall that SSA is not a valid congruence theorem.

So that's why choice D is the only answer.

-----------------

Side note: We could use the LL theorem, where L stands for leg, since we are given two pairs of congruent legs for each triangle. Like LA and HA, this only applies to right triangles. LL is a special case of SAS. However, LL isn't listed so we'll just be sticking with SAS as the only answer.

8 0
3 years ago
The first number of three consecutive even integers equals the sum of the second and third. Find the three numbers.
Arlecino [84]

The first integer (x) is equal to the consecutive even integers, x+2, x+4.

x = (x+2) + (x+4)

x = 2x + 6

x - 6 = 2x

x = -6 (First integer)


+2

-4 (Second integer)


+4

-2 (Third integer)


Integers: -6, -4, -2

Equation: x = (x+2) + (x+4)

8 0
3 years ago
Read 2 more answers
A.104<br> B.95<br> C.85<br> D.114
GarryVolchara [31]

D 114 is the answer

7 0
2 years ago
Read 2 more answers
Find the equation of the line shown
Kipish [7]

Answer:

y = x+1

Step-by-step explanation:

Slope-intercept form

(y = mx+b)

m = slope and b = y-intercept

The line crosses the y-axis at (0, 1), therefore the y-intercept (b) = 1

The slope (m) = 1

Because the slope is 1, it does not need to be written in the equation, as any number multiplied by 1 is that number.

7 0
2 years ago
Boris is a web developer. His annual gross salary is $45,000. From this, he must pay social security (calculated as 10% of his g
Semenov [28]

Answer: $32,625

Step-by-step explanation:

40,000-10,000 = 35,000 ---> how much is taxed

35,000 x .25 = 8,750 = income tax

45,000 - 8,750 = 36,250

36,250 x .1 = 3,625 ---> social security

45,000 (gross pay) - 8,750 (income tax) - 3,625 = 32, 625

3 0
3 years ago
Read 2 more answers
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