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elena55 [62]
2 years ago
6

Which statement justifies why ∠FBE measures 50°? Given: angles ABD and DBC are complementary Point B is on line AE between point

s A and E, point B is on line FD between points F and D, ray BC intersects with line AE at point B, line FD intersects with line AE at point B, the measure of angle ABD is 50 degrees, and it is given that angles ABD and DBC are complementary.
Mathematics
1 answer:
xeze [42]2 years ago
8 0

Answer:

If two angles are vertical angles, then they are congruent.

Step-by-step explanation:

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Ed buys a vase for £24 and adds 25% onto the price before putting it into his shop window.
lianna [129]
After the 25% discount the vase would cost $18.00
7 0
2 years ago
Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
algol13
First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of <span>Geoff:
</span>9+13+18=40
The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.

Next, we are going to multiply the ratio between the age of the person and their combined age by <span>£800:
For Eli: </span>\frac{9}{40} *800=180
For Freda: \frac{13}{40} *800=260
For Geoff: \frac{18}{40} *800=360
<span>
We can conclude that Eli will get </span>£180, Freda will get £260, and Geoff will get <span>£360.</span>
4 0
2 years ago
Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x
arsen [322]

Answer:

<h3>The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction</h3>

Step-by-step explanation:

Given the expression \frac{3x^{-6}y^{-3} }{15x^{2}y^{10}  }for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.

\frac{3x^{-6}y^{-3} }{15x^{2}y^{10}  }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13}  \\ =\frac{1}{5}x^{-8}y^{-13}  \\

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

6 0
2 years ago
The average length of time that three lawn-service mowers operate on a given day is 930 minutes. None of the mowers operates for
Zielflug [23.3K]

Answer:

The answer is <u>A. 990.</u>

Step-by-step explanation:

Now, to find the greatest possible length of time any of the mowers operates.

The 3 lawn-service mowers operate at the average length of time = 930 minutes.

So, the total length of time the 3 lawn mowers take = 930\times 30=2790\ minutes.

The least length a mowers operates = 900 minutes.

Now, to find the greatest possible length of time any of the mowers operates:

Let x be the greatest possible length of time any of the mowers operates.

<em>As, any one of the mowers operates greatest length.</em>

<em>So, rest of the two mowers be least at length.</em>

According to question:

x+900+900=2790

x+1800=2790

<em>Subtracting both sides by 1800 we get:</em>

x=2790-1800

x=990.

<u><em>Thus, the greatest possible length of time any of the mowers operates is 990 minutes.</em></u>

Therefore, the answer is A. 990.

3 0
2 years ago
Suppose a number cube labeled from 1 to 6 is rolled and the spinner below is spun one time. What is the probability of rolling a
11Alexandr11 [23.1K]

<u>Answer:</u>

The probability of rolling a number less than 4 and spinning a consonant is \frac{3}{52} .

<u>Step-by-step explanation:</u>

The probability of rolling a number less than 4 and spinning a consonant

= P(rolling a number less than 4) x  P(spinning a consonant)

Step 1:Finding  P(rolling a number less than 4)

The total number of outcomes  = 6

The  number of possible outcomes for getting a number less than 4 = 3

So the probability = \frac{3}{6} = \frac{1}{2}

Step 2: Finding   P(spinning a consonant)

Total number of outcomes  =  26

The number of consonant =  21

Thus  P(spinning a consonant)  = \frac{21}{26}

Step 3: The probability of rolling a number less than 4 and spinning a consonant

From (1) and (2)

=> \frac{ 1}{6} \times \frac{21}{26}

=> \frac{21}{156}

=>\frac{3}{52}

7 0
2 years ago
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