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amm1812
2 years ago
5

What is the slope of the line that passes through the points (0, -4) and (30, – 9)?

Mathematics
1 answer:
Softa [21]2 years ago
6 0

Answer:

-1/6

Step-by-step explanation:

the slope is -1/6

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A woman takes 12 equal-sized steps. She walks a total of 10 yards
kiruha [24]

Answer:

Each step is 30 inches

Step-by-step explanation: One yard is 36 inches. 10 yards is 360 inches.

360 divided by 12 is 30.

3 0
2 years ago
PLEASE PLEASE HELP! Find the measure of APB^.
Whitepunk [10]

Answer:

65°

Step-by-step explanation:

Radii CA and CB are perpendicular to tangent lines AT and BT, so

\angle CAT=\angle CBT=90^{\circ}

Since angle BAT is equal to 65°, angle CAB has measure

\angle CAB=90^{\circ}-65^{\circ}=25^{\circ}.

Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

\angle CBA=\angle CAB=25^{\circ}

The sum of the measures of all interior angles in triangle is always 180°, so

\angle CAB+\angle CBA+\angle ACB=180^{\circ}\\ \\25^{\circ}+25^{\circ}+\angle ACB=180^{\circ}\\ \\\angle ACB=130^{\circ}

Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so

x=\angle APB=\dfrac{1}{2}\cdot 130^{\circ}=65^{\circ}

8 0
3 years ago
The first five terms of a linear sequence are given below. 7 , 12 , 17, 22 , 27 , ... What is the next term of the sequence?
Norma-Jean [14]

Answer:

<h2>32</h2>

Step-by-step explanation:

a_1=7\\a_2=7+5=12\\a_3=12+5=17\\a_4=17+5=22\\a_5=22+5=27\\\\a_6=27+5=32\\a_7=32+5=37\\a_8=37+5=42\\a_9=42+5=47\\\vdots

8 0
2 years ago
Whats three quarters of 450
shepuryov [24]
337.5      divide 450 by 4 and multiply the product by 3

8 0
3 years ago
the original price is $448, the sale price is $398, note the original price and the discount price as a percent. find the saving
makvit [3.9K]
The original price is 67 and 4 percent dissocount
7 0
3 years ago
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