What’s the measure of ACD
Answers
Answer:
option H, 130°
Step-by-step explanation:
In order to find the measure of ∠ACD, first find the measure of ∠ACB
∠ACB + ∠ABC + ∠BAC = 180° (angle sum property of a triangle)
∠ACB + 95° + 35° = 180°
∠ACB + 130° = 180°
∠ACB = 180° - 130°
∠ACB = 50°
∠ACD + ∠ACB = 180° (linear pair)
∠ACD + 50° = 180°
∠ACD = 180° - 50°
∠ACD = 130°
therefore, option H is the correct option
hope it helps you!
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Which value of f makes 3x+5=32 a true statement?f=6f=9f=12f=8
Suppose both the mean and median of a distribution are 12. Which of these statements is true about the mode of the distribution?. . A.The mode is less than 12.. B.There is not enough information to compare the mode.. C.The mode is equal to 12.. D.The mode is greater than 12.
Answers
Final answer:
The most effective strategies to subtract 563 from 192 are by rounding the number (Choice B) or by step-by-step addition and subtraction (Choice A), with rounding being the preferred method for ease of calculation.
Explanation:
To subtract 563 from 192, two effective strategies can be used. The first strategy (Choice B) simplifies the problem by rounding 192 to 200, subtracting to get 563 - 200 = 363, and then adding back the difference of 8 (since 200 - 192 = 8), resulting in the final answer of 363 + 8 = 371.
The second strategy (Choice A) is to add the constituent parts of 192, which are 100, 90, and 2, to perform step-by-step addition and subtraction. This method, however, is less efficient than the rounding technique and is prone to errors in a manual calculation process.
Learn more about Subtraction Strategies here:
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Answers
Answer:
2
Step-by-step explanation:
sum of angles in a triangle is 180
(26x - 2) + 70 + 60 = 180
26x -2 = 180 - 70 - 60
26x - 2 = 50
26x = 52
x = 2
hope this helped
Answer:
D) 2
Step-by-step explanation: The interior angles of triangles will ALWAYS add up to 180 degrees. In this case 2 angles are already provided, 70 and 60, so adding those together (130) the remaining angle must be 50 (180-130=50). In 26x-2=50, x=2 is the only possible answer. (Feel free to ask any questions if you don't understand anything I said!)
Answers
Final answer:
We calculated the value of each type of coin that Coretta has, and added these four values together to find that she has a total of $14.80.
Explanation:
Coretta has 79 nickels, 31 dimes, 13 quarters, and 9 fifty-cent pieces. In order to find out the total amount of money she has, we first determine the total value for each type of coin by multiplying the coin's value by the number of such coins Coretta has. We then add up these four totals to get the grand total.
To start, a nickel is worth 5 cents, so 79 nickels is worth 79 * 5 cents = 395 cents. A dime is worth 10 cents, so 31 dimes is worth 31 * 10 cents = 310 cents. A quarter is worth 25 cents, so 13 quarters is worth 13 * 25 cents = 325 cents. A fifty-cent piece is worth 50 cents, so 9 fifty-cent pieces is worth 9 * 50 cents = 450 cents.
To get the grand total in cents, we add these up: 395 + 310 + 325 + 450 = 1480 cents. Dividing by 100 (since there are 100 cents in a dollar), we get $14.80. So, Coretta has $14.80 of coins.
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A nickel is worth $0.05
Multiply this by the amount of nickels
79 * 0.05 = $3.95
A dime is worth $0.10
31 * 0.10 = $3.10
A quarter is worth 0.25
13 * 0.25 = $3.25
A fifty cent coin is worth 0.50
9 * 0.50 = $4.50
Add all the values you have
4.50 + 3.25 + 3.10 + 3.95 = 14.8
The answer is $14.80
Hope this helps!
Answers
Answer:
154 millimeters
Step-by-step explanation:
Answer:
154
Step-by-step explanation:
Plato test said i was right
Answers
1) He could take the 1/2 cup twice which equals 1, and then he could measure 6 of 1/8 cups which would be 6/8 or 3/4.
2) Way number two could be if he took the 1/2 four times, which would give him 2, and then he could remove 2 1/8 cups out of the 2 which would give him 1 3/4.
Answers
Answer: y = 3x - 5
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c = intercept
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = -1/3x + 2
Comparing with the slope intercept form, slope = - 1/3
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Therefore, the slope of the line passing through
(2, 1) is 3/1 = 3
To determine the intercept, we would substitute m = 3, x = 2 and y = 1 into y = mx + c. It becomes
1 = 3 × 2 + c = 6 + c
c = 1 - 6 = - 5
The equation becomes
y = 3x - 5