Answer:
1410
Step by step explanation:
<em>2</em><em>/</em><em>5</em><em>x</em><em>=</em><em>5</em><em>6</em><em>4</em>
<em>5</em><em>/</em><em>2</em><em>*</em><em>2</em><em>/</em><em>5</em><em>x</em><em>=</em><em>5</em><em>6</em><em>4</em><em>*</em><em>5</em><em>/</em><em>2</em>
<em>x</em><em>=</em><em>1</em><em>4</em><em>1</em><em>0</em>
<em>Proof</em><em>:</em><em> </em><em>2</em><em>/</em><em>5</em><em>*</em><em>1</em><em>4</em><em>1</em><em>0</em><em>=</em><em>5</em><em>6</em><em>4</em>
Hope it helps <3
First you solve for the area of the unshaded triangle. Use the formula of area of triangle which is 1/2bh to find. 1/2(9)(4) = 18 cm^2. The area of the unshaded triangle is 18cm^2. Now we need to find the area of the rectangle. We can find that by using the formula for area of rectangle which is (b)(h). 12*4 = 48 cm ^2. Now that we have the area of the triangle and the area of the rectangle, we just need to subtract the area of the triangle from the area of the rectangle to get the area of the shaded region. 48 cm^2 - 18 cm^2 = 30 cm^2.
So our answer is: The area of the shaded region is 30 cm^2. In this case it’s option C or the third option for your quiz.
Answer: 115°
Step-by-step explanation:
We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:
(8x - 5) + (2x) + (3x - 10) = 180
8x - 5 + 2x + 3x - 10 = 180
Collect like terms
8x + 2x + 3x = 180 + 5 + 10
13x = 195
x = 195/13
x = 15
The angles are:
8x - 5 = 8(15) - 5 = 120 - 5 = 115°
2x = 2(15) = 30°
3x - 10 = 3(15) - 10 = 45 - 10 = 35°
Therefore, the largest angle is 115°
Start at 4 on the y axis
move 2 units up and 3 units right
