Answer:
x = 9 (see explanation)
Step-by-step explanation:
Alternate exterior angles are two angles that are congruent to each other:
1. Set the two angles equal to each other: 7x-4 = 6x+5
2. Combine like terms and solve for x: x = 9
Hope this helps!
Answer:
48∛9 ft²
Step-by-step explanation:
The length (L) and width (W) are given by:
![L = 4\sqrt[3]{24}\\ W= 6\sqrt[3]{3}](https://tex.z-dn.net/?f=L%20%3D%204%5Csqrt%5B3%5D%7B24%7D%5C%5C%20W%3D%206%5Csqrt%5B3%5D%7B3%7D)
Since this is a rectangular region, the area is given by:
![A=L*W=L \\A=4\sqrt[3]{24}* 6\sqrt[3]{3}\\A=24\sqrt[3]{72}\ ft^2](https://tex.z-dn.net/?f=A%3DL%2AW%3DL%20%5C%5CA%3D4%5Csqrt%5B3%5D%7B24%7D%2A%206%5Csqrt%5B3%5D%7B3%7D%5C%5CA%3D24%5Csqrt%5B3%5D%7B72%7D%5C%20ft%5E2)
The answer can be further simplified by factoring as follows:
![A=24\sqrt[3]{72} = \\A=24\sqrt[3]{2*2*2*3*3}= 24\sqrt[3]{2^3*9}\\A=48\sqrt[3]{9}\ ft^2](https://tex.z-dn.net/?f=A%3D24%5Csqrt%5B3%5D%7B72%7D%20%3D%20%5C%5CA%3D24%5Csqrt%5B3%5D%7B2%2A2%2A2%2A3%2A3%7D%3D%2024%5Csqrt%5B3%5D%7B2%5E3%2A9%7D%5C%5CA%3D48%5Csqrt%5B3%5D%7B9%7D%5C%20ft%5E2)
The exact area is its simplest form is 48∛9 ft²
Answer:
75
Step-by-step explanation:
first, there are three 5's on the spinner, with a total of 12 sections. 3/12 = 0.25, so you multiply 0.25 times 300 (the total spins) and get 75
The measure of CB from the given figure is 8cm
<h3>What is a triangle?</h3>
A triangle is 2 dimensional shape with 3 sides and angles. The types of triangle that we have are;
- Equilateral triangle
- Scalene triangle
- Isosceles
The given triangle is a scalene triangle since <u>none of the sides are equal</u>
From the figure shown, we can see that the mea<em>sure of DF is equivalent to CE and EB</em>
Since CB = CE + EB
Given the following parameter
DF = 4cm
CE = EB = DF = 4cm
Substitute
CB = 4cm + 4cm
CB = 8cm
Hence the measure of CB from the given figure is 8cm
Learn more on triangles here; brainly.com/question/25215131
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