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PtichkaEL [24]
3 years ago
10

Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they

charged a total of $1800 . What was the rate charged per hour by each mechanic if the sum of the two rates was $150 per hour?
Mathematics
1 answer:
GrogVix [38]3 years ago
7 0
You have to make a equation like 15m+5m=1800 and substitute m for 150 (m for dollars per hour. or whatever letter you want) and solve from there

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In ABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction,
Anuta_ua [19.1K]

Two triangles are said to be <u>congruent</u> if they have <em>similar</em> properties. Thus the required <u>options</u> to complete the <em>paragraph proof</em> are:

a. angle 1 is <u>congruent</u> to angle 2.

b. <em>alternate</em> angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.

c. \frac{AD}{CD} = \frac{AB}{CB}

The <em>similarity property</em> of two or more shapes implies that the <u>shapes</u> are congruent. Thus they have the <em>same</em> properties.

From the given <u>diagram</u> in the question, it can be deduced that

ΔABC ≅ ΔABE (<em>substitution</em> property of equality)

Given that EA is <u>parallel</u> to BD, then:

i. <2 ≅ <3 (<em>corresponding</em> angle property)

ii. <1 ≅ < 4 (<em>alternate</em> angle property)

Thus, the required options to complete the <em>paragraph proof</em> are:

  • Angle 1 is <em>congruent</em> to angle 2.
  • Alternate angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
  • \frac{AD}{CD} = \frac{AB}{CB}

For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1619927

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6 0
2 years ago
I need help please and thank you
taurus [48]

Answer:

are you on edge

Step-by-step explanation:

5 0
3 years ago
Which of the following is(are) true? I. The mean of a population depends on the particular sample chosen. II. The standard devia
Margarita [4]

Answer:

II and III

Step-by-step explanation:

From statement II in the question, it is true that the standard deviations of two different samples from the same population may be the same. The population standard deviation is a fixed value calculated from every individual in the population.  A sample standard deviation is calculated from only some of the individuals in a population.

Also from statement III, it is true that statistical inferences can be used to draw conclusions about the populations based on sample data. The mean of a population does not necessarily depends on the particular sample chosen. Therefore statement I is false.  

3 0
3 years ago
Weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. Find the probabi
AlekseyPX

Answer:

$80

Step-by-step explanation:

400÷50= 80 which is the weekly rate of wages

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3.333 metres per second
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