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3 years ago

The figure below shows line t, which intersects segment AB:

Mathematics

2 answers:

Elodia [21]3 years ago

7 0

Answer:

Below.

Step-by-step explanation:

So first draw lines CA and CB.

So t is a perpendicular bisector so AOC and BOC are 90°. (O is the center).

You can then use the reflexive property and say OC = OC.

Since t is an perpendicular bisector, AO = BO.

Now, you can say triangle AOC is congruent to triangle BOC by SAS, or LL.

AC = BC by CPCTC.

C is equidistant because that is the definition.

stepan [7]3 years ago

6 0

Answer:

The answer is below. I hope this helps please tell me if right or wrong.

Step-by-step explanation:

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Darpana solved the equation s = StartFraction a + b + c Over 3 EndFraction for a. Her steps are shown below: 1. Multiply by 3: s

Harman [31]

Answer:

Option (c) is correct.

Step-by-step explanation:

Given equation is :

$s=\dfrac{a+b+c}{3}$

The equation can be solved for a as follows :

Step 1.

Cross multiply the given equation

$3s=a+b+c$

Step 2.

Now subtract b on both sides

3s-b = a+b+c-b

3s-b = a+c

Step 3.

Subtract c on both sides

3s-b-c=a+c-c

⇒ a=3s-b-c

The statement that is true for Darpana is " In step 3, she needed to subtract c rather than divide".

5 0

3 years ago

Read 2 more answers

Sam is hired for a 20-day period. On days that he works, he earns $60. For each day that he does not work, $30 is subtracted fro

Alenkinab [10]

Answer:

He did not work for 6 days

Step-by-step explanation:

Sam is hired for a 20-day period.

Let x be the no. of days he did not work

So, No. of days he worked = 20-x

he earns per working day = $60

So, he earns for (20-x) days = 60(20-x)

For each day that he does not work, $30 is subtracted from his earnings.

So, Amount deducted for x days = 30x

So, His earning for 20 days = $60(20-x)-30x$

We are given that At the end of the 20-day period, he received $660

So, $60(20-x)-30x=660$

$1200-60x-30x=660$

$1200-90x=660$

$1200-660=90x$

$540=90x$

$\frac{540}{90}=x$

$6=x$

So, he did not work for 6 days

So, Option C is true

5 0

3 years ago

Find the measure of the third angle of a triangle given the measure of two angles are 86º and xº.

astra-53 [7]

The total degrees in a triangle is 180. if you add the angles up, it should equal. if we say that the angle of the third angle is y, our equation looks like this
y+x+86=180
if we solve for y, we get
y=180-86-x, which you can solve for for your answer

4 0

4 years ago

Read 2 more answers

It has been observed that electrical connectors manufactured by Jolt Electrical Supply Company last an average of 18.2 months an

Juli2301 [7.4K]

Answer:

340

Step-by-step explanation:

The first step is finding the percentage of those who fail within 19 months.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 18.2, \sigma = 1.7$

The proportion is the pvalue of Z when X = 19. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{19 - 18.2}{1.7}$

$Z = 0.47$

$Z = 0.47$ has a pvalue of 0.6808.

Jolt is expected to replace 0.6808 of the connectors sold. Out of 500, that is, on average, 0.6808*500 = 340.

Jolt expects to replace, on average, 340 of the connectors sold.

4 0

3 years ago

Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half em

Whitepunk [10]

Answer:

Step-by-step explanation:

Although this problem is quite long and exhausting, it is deceptively simple.

We know that his 12-gallon fuel tank is only half full, so we know that the car needs 6 more gallons of fuel.

If he turns in the car late, he will have to pay y = 2.59x + 32.00, where x is the number of empty gallons (in this case, 6)

In this case, he will pay 2.59(6) + 32.00 = $47.54

If he turns in the car on time, he will have to pay y = 4.50x + 5.00, where x is the number of empty gallons (still 6).

In this case, he will pay 4.50(6) + 5.00 = $32.00

Using these results, we know that B must be true.

4 0

3 years ago