<h2>Answer:</h2>
<h2>Explanation:</h2>
Given the equation expressed as:
First, we need to calculate the value of "x" from the given expression.
Step 1: Given the equation 2x + 5 = 8x
Step 2: Subtract 5 from both sides:
Step 3: Subtract 8x from both sides
Step 4: Divide both sides by -6
Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:
Therefore the value of 12x is 10
the slope is -2
have a nice day :D
Answer:
Shop B
Step-by-step explanation:
Hi there!
To solve this question, we can find the new prices of each oven and identify which one is cheaper.
<u>Shop A</u>
Usual price: $190
Discount: 15%
First, we must subtract the discount percent from 100:
100 - 15 = 85
Therefore, the new price of the product will be 85% of the original price. Find 85% of $190:
190 × 0.85
Therefore, the new price is $161.50.
<u>Shop B</u>
Usual price: $200
Discount: 20%
Again, subtract 20 from 100:
100 - 20 = 80
This means that the new price of the oven is 80% of the original price:
200 × 0.8 = 160
Therefore, the new price is $160.
Because a $160 oven is cheaper than a $161.50 oven, Shop B sells the oven at a lower price.
I hope this helps!
Answer:
13.98 in²
Step-by-step explanation:
I don't understand it, either.
Point N is part of a "segment" that above and to the right of chord MO. It is the sum of the areas of 3/4 of the circle and a right triangle with 7-inch sides. The larger segment MO to the upper right of chord MO has an area of about 139.95 in², which <u>is not</u> an answer choice.
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The remaining segment, to the lower left of chord MO does not seem to have anything to do with point N. However, its area is 13.98 in², which <u>is</u> an answer choice. Therefore, we think the question is about this segment, and we wonder why it is called MNO.
The area of a segment is given by the formula ...
A = (1/2)(θ -sin(θ))r² . . . . . . where θ is the central angle in radians.
Here, we have θ = π/2, r = 7 in, so we can compute the area of the smaller segment MO as ...
A = (1/2)(π/2 -sin(π/2))(7 in)² = 24.5(π/2 -1) in² ≈ 13.9845 in²
Rounded to hundredths, this is ...
≈ 13.98 in²
Answer:
Step-by-step explanation:
4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°
5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.
6) NOT parallel. see pic.
If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel
7)
b = 78° as it corresponds with a labeled angle above it
a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180
f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180
e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180
c = 58° as it corresponds with f
d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180
