Answer:
<em>Measure of one of the interior angles ⇒ 90°</em>
Step-by-step explanation:
If we are considering a regular polygon, all sides are ≅, respectively all angles are ≅ as well;
Now any quadrilateral has total interior angle measure of 360 degrees, provided they each can be split into two triangles and hence knowing a triangle is 180 degrees each, ⇒ 180 * 2 = 360°;
So if all these angles are ≅, we can claim that;
m∠ 1 = m∠ 2 = x = m∠ 3 = m∠ 4, where ∠1, 2, 3, and 4 are interior angles
x + x + x + x = 360 degrees ( ° ),
4x = 360°,
x = 90° = m∠ 1 = m∠ 2 = m∠ 3 = m∠ 4,
<em>Solution; Measure of one of the interior angles⇒ 90°</em>
Answer:
105
Step-by-step explanation:
150-30%= 105
Have a wonderful day!
80 ...........................
Answer:
The length of the first piece = 41 cm
Step-by-step explanation:
Let the length of the first piece = a
Let the length of the second piece = b
Let the length of the third piece = c
we are given the following:
b = 3a . . . . . (1) (The 2nd piece is 3 times as long as the 1st piece)
c = 6 + a . . . . (2) (the 3rd piece is 6 centimeters longer than the 1st piece)
a + b + c = 211 . . . . . (3) ( the yarn has a total length of 211 centimeters)
Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:
a + b + c = 211
a + (3a) + (6 + a) = 211 ( remember that b = 3a; c = 6 + a)
a + 3a + 6 + a = 211
5a + 6 = 211
5a = 211 - 6 = 205
5a = 205
∴ a = 205 ÷ 5 = 41 cm
a = 41 cm
Therefore the length of the first piece (a) = 41 cm
now finding b and c
substituting a into equation 1 and 2
b = 3a
b = 3 × 41 = 123
∴ b = 123 cm
c = 6 + a
c = 6 + 41 = 47
∴ c = 47 cm
Lo siento, no hago matemáticas por favor hazlo tú mismo. En caso de que no traduzcas esto voy a poner un par de números. 34 es el número para hacer que alguien que habla inglés esto es legítimo. 45 = 28 + x28. Te quiero