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3 years ago

Two angles of a triangle measure 22 and 53. What is the measure of the third angle?

Mathematics

1 answer:

telo118 [61]3 years ago

3 0

All angles add to 180 (interior angles)

22+53+?=180
75+?=180
minus 75 both sides
?=105

third angle is 105 degrees

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On the coordinate plane, ΔABC ≅ ΔDEF by SSS. ΔABC translates 2 units to the left and 3 units down. Do the triangles remain congr

MrRissso [65]

Yes because you are simply translating the shape and moving it and not changing the shape.

8 0

3 years ago

Read 2 more answers

Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)

Licemer1 [7]

Expand the expression as

(s + 1)³/s ⁵ = (s ³ + 3s ² + 3s + 1)/s ⁵

… = 1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵

Then taking the inverse transform, you get

LT⁻¹ [1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵]

… = LT⁻¹ [1/s ²] + LT⁻¹ [3/s ³] + LT⁻¹ [3/s ⁴] + LT⁻¹ [1/s ⁵]

… = LT⁻¹ [1!/s ²] + 3/2 LT⁻¹ [2!/s ³] + 1/2 LT⁻¹ [3!/s ⁴] + 1/24 LT⁻¹ [4!/s ⁵]

… = t + 3/2 t ² + 1/2 t ³ + 1/24 t ⁴

8 0

2 years ago

You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as y

pochemuha

Answer:

I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

Step-by-step explanation:

The number of total objects collected by me = 20

The number of objects collected by my friend = 20

Let us assume:

The number of rocks collected by me = m

The number of fossils collected by me = 2 k

⇒ m + 2 k = 20 .... (1)

So, according to the question:

The number of rocks collected by my friend = 3 x (rocks collected by me)

= 3 x (m) = 3 m

The number of fossils collected by my friend = 1/2 x (fossils collected by me) = 1/2 x (2k ) = k

⇒ 3 m + k = 20 .... (2)

Solving (1)and (2) for the value of m and k, we get:

m + 2 k = 20 ⇒ m = 20 - 2 k ... Put this in (2)

3 m + k = 20 ⇒ 3 (20 - 2 k) + k = 20

⇒ 60 - 6 k + k = 20

or, - 5k = -40

or, k = 40/5 = 8

⇒ k= 8

m + 2(8) = 20

or, m = 4

Hence, the number of rocks collected by me = m = 4

The number of fossils collected by me = 2 k = 2 (4) = 16

Hence, the number of rocks collected by my friend = 3 m = 3 x 4 = 12

The number of fossils collected by my friend = k = 8

Hence, I collect 4 rocks and 16 fossils. While my friend collects 12 rocks and 8 fossils.

4 0

2 years ago

First right answer FOR BOTH gets brain

Orlov [11]

- 32 - (-5) =
- 32 + 5 =
- 27

64 - (-6) =
64 + 6 =
70

7 0

3 years ago

Answer both question for 20 points and brainliest

Dmitrij [34]

Answer:

1 - c

2 - A

Step-by-step explanation:

Hey There!

So for the first one we are given the dimensions of a rectangular prism and they want us to find the volume

Remember to find the volume we use the equation

V = length x width x height

so we just plug in the values

v = 2.6 x 2.1 x 3.9 = 21.294

the closest is 20 so C is your answer

For the second one we are given a triangular prism

and they want us to find the volume

$V=\frac{1}{2} bhl$

b = base (10.3)

l = length (4)

h = height (7)

7x4=28

28x10.3=288.4

then we divide by 2

288.4/2=144.2

so your selected answer is correct

4 0

3 years ago