Answer:
11
Step-by-step explanation:
The lines on the outside simply means "absolute value". This just takes any negative number and makes it positive. In this case, 15-4 is already positive so the answer is just positive 11.
Answer:
The correct option is;
A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.
Step-by-step explanation:
To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to
The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle
Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.
Answer:
see explanation
Step-by-step explanation:
Since AB and BC are perpendicular, then
∠ABC = 90° and
∠ABD + ∠DBC = ∠ABC ← substitute values
3r + 5 + 5r - 27 = 90, that is
8r - 22 = 90 ( add 22 to both sides )
8r = 112 ( divide both sides by 8 )
r = 14
Hence
∠ABD = 3r + 5 = (3 × 14) + 5 = 42 + 5 = 47°
∠DBC = 5r - 27 = (5 × 14) - 27 = 70 - 27 = 43°
Answer:
T(1, 5), R(7, 7), A(7, 1), M(4, 5)
Step-by-step explanation:
The mapping for -90° rotation is (x, y) ⇒ (y, -x).
for example, T(-5, 1) ⇒ T'(1, 5)
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If you're doing this with pencil and paper, you can draw the image and axes the way it is, then rotate your drawing 90° clockwise (so the axes line up) and copy it into the first quadrant.
