Answer:
The entire area of the sailboat is 60cm²
Step-by-step explanation:
You can find the area of this shape by breaking it down into simpler shapes and adding up their individual areas.
In this case, the areas we'll use are the rectangle at the bottom, and the pair of triangles at the top.
Because the two triangles can be put together to form a single triangle, we don't need to measure them independently. We can simply take the total length of their bases, multiply it by their height, and divide by two. This follows the rule that the area of a triangle is equal to the area of the square that contains it divided by two.
(2cm + 3cm) × 6cm
= 5cm × 6cm
= 30cm²
The rectangle's area is of course equal to its width times its height, so we can say:
2.5cm × 12cm
= 30cm²
The total area of the shapes then is 30cm² + 30 cm², giving us a total area of 60cm²
Well, we know the number must be above 350,000 because it was rounded up to 400,000. In order for the number to round down to 350,000 the number would have to be between 350,000-354999. So, the number could be any number in between those two numbers.
For example: The number COULD be 351,000 but, that is not the only possible answer<span>.
make sense?
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Answer:
9x + 17
Step-by-step explanation:
(3x - 1) + (4x + 7) + (2x + 11)
= 3x - 1 + 4x + 7 + 2x + 11
= 3x + 4x + 2x - 1 + 7 +11
= 9x + 17
Answer:
I'm pretty sure it would be 50 books on the shelf
Answer:
x + 96 = 90°
x + 89 = 80°
Step-by-step explanation:
<u>Consecutive Interior Angles Theorem</u>
When a transversal line intersects two parallel lines, it forms two pairs of consecutive angles on either side of the transversal line. Each pair of consecutive interior angles are supplementary (sum to 180°).
<u>Question 1</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 96)° + (x + 96)° = 180°
⇒ x + 96 + x + 96 = 180
⇒ 2x + 192 = 180
⇒ 2x + 192 - 192 = 180 - 192
⇒ 2x = -12
⇒ 2x ÷ 2 = -12 ÷ 2
⇒ x = -6
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 96 = -6 + 96 = 90°
<u>Question 2</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 109)° + (x + 89)° = 180°
⇒ x + 109 + x + 89 = 180
⇒ 2x + 198 = 180
⇒ 2x + 198 - 198 = 180 - 198
⇒ 2x = -18
⇒ 2x ÷ 2 = -18 ÷ 2
⇒ x = -9
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 89 = -9 + 89 = 80°