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Nataly [62]
4 years ago
15

Kevin has three pieces of wood. Board A is 6 inches long, board B is 11 inches long, and board C is 4 inches long. If the full l

ength of each board is used, can the three pieces of wood be placed together to form a triangle?
a. yes, 11 - 6 > 4
b. no, 6 + 4 < 11
c. no, 11 - 4 < 6
d. yes, 4 + 6 < 11
Mathematics
1 answer:
Alik [6]4 years ago
4 0

Answer:

b. no, 6 + 4 < 11

Step-by-step explanation:

To form a triangle, longest length should be less than the sum of the two shorter ones.

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1 and 2 are complementary angles. 1 and 3 are vertical angles. If
Marizza181 [45]

If angle 1 and angle 2 are <u>complementary, </u>then they add up to 90 degrees. We are given that angle 2 equals 52 degrees.

So we subtract and get our answer:

38

That's NOT the final answer.

The next step is:

Angle 1 and angle 3 are vertical angles.

Vertical angles are congruent.

So if angle 1 is 38, then angle 3 is also 38.

Now, supplementary angles add up to 180 degrees.

So that's the answer:

180-38=142

142 is the supplement of angle 3.

Hope it helps! :)

Answered by

***ROSALIND***

8 0
3 years ago
The Japanese 5 yen coin has a hole in the middle. If the diameter of the coin is 22 mm and the diameter of the hole is 5 mm, how
Yanka [14]

Answer:

4.4mm

Step-by-step explanation:

Circumference of circle

2 Pi r

Diameter of coin = 22mm

Therefore the radius = 11mm

Therfroe the outer edge (circumference)

= 2 Pi r

= 2 x Pi x 11

=69.11mm

For the inner edge

Diameter = 5

Radius = 2.5

Therefroe inner edge (circumference)

= 2 Pi r

= 2 x Pi x 2.5

= 15.7mm

The difference is

69.11 - 15.7

=4.4mm

7 0
3 years ago
If a polynomial has four terms, 3x3 5x 6x2 10, which factoring method can be considered? perfect-square trinomial difference of
Tems11 [23]

The factoring method which can be considered for such a cubic tetranomial expression is; factor by grouping sum of cubes.

<h3>What factoring method can be considered for the polynomial?</h3>

It follows from the task content that the order of the Polynomial is 3 and the polynomial is a tetranomial as it contains 4 terms.

On this note, since 3x³ is not a perfect cube, it follows that the best factorisation method for such a polynomial is; factor by grouping sum of cubes.

Read more on factorisation;

brainly.com/question/25829061

#SPJ4

8 0
2 years ago
For Judy's birthday, her friend gave her a gift card. She went to the clothing store and bought a total of $178.25 worth of clot
vladimir1956 [14]

Answer:

<h3>The percentage is <u>60%</u> of the total amount paid with the gift card. </h3>

Step-by-step explanation:

Given:

Total worth of clothing is $178.25 and the amount paid with cash is $71.30.

Let us find the part of amount  paid with the gift card:

Amount of gift card(G) = Total worth(T) - Amount paid in cash(C).

G\ =\ 178.25-71.30

G\ =\ 106.95.

So, the amount paid with the gift card is $106.95.

Now, according to question:

\frac{106.95}{178.25}\times100

=0.6\times100

=60%.

Therefore, the percentage is <u>60%</u> of the total amount paid with the gift card.

6 0
3 years ago
In a triangle, one of the angle measures 70°
Tanya [424]

Answer:

the two angles are 55° each

Step-by-step explanation:

Let the two equal angles be y each

Therefore,

70° + y + y = 180°

Collect like terms

2y = 180 — 70

2y = 110

Divide both side by the coefficient of y i.e 2

y = 110/2

y = 55°

Therefore, the two angles are 55° each

4 0
3 years ago
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