All categories

2 years ago

100 points if you can answer

Mathematics

2 answers:

Dominik [7]2 years ago

8 0

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

180 = 2x + x + 54

180 = 3x + 54

180 - 54 = 3x

126 = 3x

x = 126 : 3

x = 42°

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

2x = 42 * 2

2x = 84°

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

check

2x + x + 54 = 180

3x + 54 = 180

3 * 42 + 54 = 180

126 + 54 = 180

180 = 180

the answer is good

MArishka [77]2 years ago

3 0

Answer:

84 Degrees

Step-by-step explanation:

Interior angles in a triangle sum to 180°

⇒ x + 2x + 54 = 180

⇒ 3x + 54 = 180

⇒ 3x = 180 - 54

⇒ 3x = 126

⇒ x = 126 ÷ 3

⇒ x = 42

Therefore:

⇒ 2x = 2(42)

= 84°

You might be interested in

Can anyone help with the answers to all these questions with an explanation please?

saveliy_v [14]

ANSWER:

1) 25.70 cm 2) 30.84 cm 3) 10.71 km 4) 1.07 km 5) 6.71 cm 6) 10.07 mm

EXPLANATION:

1. Know that the circumference formula for a full circle is:

$C = 2\pi r$

The value of pi ( $\pi$ ) = 3.14

The radius ( $r$ ) will be given in the diagrams.

2. Now we can figure out the perimeters.

Shape One: Semi-circle

C = 2 x 3.14 x 5

C = 31.4 cm

Divide the circumference by 2 because it is a semi-circle. Then add 10 cm to this (because the flat side is 10 cm).

P = $\frac{31.4}{2} +10$

P = 25.7 cm ≈ 25.70 cm

Shape Two: Semi-circle

C = 2 x 3.14 x 6 (the picture shows the diameter so we need to half that to get the radius)

C = 37.68 cm

Divide the circumference by 2 because it is a semi-circle. Then add 12 cm to this (because the flat side is 12 cm).

P = $\frac{37.68}{2}+12$

P = 30.84 cm

Shape Three: Quadrant

C = 2 x 3.14 x 3

C = 18.84 km

Divide the circumference by 4 because it is a quadrant. Then add 6 km to this (because the two flat sides are 3 km each and so it is 6 km total).

P = $\frac{18.84}{4} +6$

P = 10.71 km

Shape Four: Quadrant

C = 2 x 3.14 x 0.3

C = 1.884 km

Divide the circumference by 4 because it is a quadrant. Then add 0.6 to this (because the two flat sides are 0.3 km each and so it is 0.6 km total).

P = $\frac{1.884}{4} + 0.6$

P = 1.071 km ≈ 1.07 km

Shape Five

C = 2 x 3.14 x 1

C = 6.28 cm

For this shape, we need to subtract the circumference of the missing sector from the circumference of the full circle to obtain the circumference for this shape. So, the circumference for the shape would be:

C = $6.28 - \frac{6.28}{4}$

C = 6.28 - 1.57

C = 4.71 cm

Then add the flat sides (1 cm + 1 cm = 2 cm) to this circumference to get the perimeter.

P = 4.71 + 2

P = 6.71 cm

Shape Six

C = 2 x 3.14 x 1.5 (Divide the 3 mm diameter by 2 to get the radius)

C = 9.42 cm

Do the same thing you did for Shape 5.

C = $9.42 - \frac{9.42}{4}$

C = 7.065 mm

Then add the flat sides (1.5 + 1.5 = 3) to this circumference.

P = 7.065 + 3

P = 10.065 mm ≈ 10.07 mm

7 0

2 years ago

Principal clements wants to buy a pencil for each of the 57 fourth graders in her school. The pencils come in packages of 6. How

Scrat [10]

Principal clements needs to buy 10 packages

Solution:

Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school

The pencils come in packages of 6

Therefore,

Total number of students = 57

Thus, divide 57 by 6 to get the number of packages clements need to buy

$\text{Number of packages } = \frac{\text{total number of students }}{6}$

Substituting the given values we get,

$\text{Number of packages } = \frac{57}{6} \\\\\text{Number of packages }= 9.5 \approx 10$

Thus principal clements needs to buy 10 packages

8 0

3 years ago

What is the value of x?

Rufina [12.5K]

Answer:

X=23

Step-by-step explanation:

You should know that a triangle =180 degrees

Add all your angles together and =180

66+2x+3+3x-4=180

add similar terms

5x+65=180

Move your 65 to the other side

5x=115

x=23

(Optional)

to check if your answer is right substitute your x and add all angles together you should get 180 degrees.

6 0

3 years ago

Jackson earned $60 and put 1 5 of those earnings into his savings account. How much did he put into his savings account? $

alex41 [277]

Answer:

12 dollars

Step-by-step explanation:

60 divided by 5=12

5 0

3 years ago

Tito reads 80% of his 200 page book. how many pages did tito read

SpyIntel [72]

Answer:

160 pages

Step-by-step explanation:

80/100×200

=160

6 0

3 years ago

Read 2 more answers

100 points if you can answer ​

100 points if you can answer