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3 years ago

The triangles shown are congruent. Which of the following statements must be true? A. YZ = JG

Mathematics

1 answer:

BaLLatris [955]3 years ago

8 0

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What are the solutions of the inequality?

g100num [7]

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

3 0

3 years ago

The variable Z is directly proportional to X. When X is 10, Z has the value 190.

irina [24]

Since z is proportion to the x
z = a x
190 = a 10
a = 19

when x = 13
z = a x
z = 19 * 13
z = 247

7 0

4 years ago

You want to rent a car for the day.Prestige car rentals charges $47 plus $0.07 per mile to rent a midsize vehicle . Gateway Auto

jolli1 [7]

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = $x$ miles

Charges for one mile by Prestige car rentals = $0.07

Charges for $x$ miles by Prestige car rentals = $0.07 $x$

Total charges by Prestige Car rentals = $47 + $0.07 $x$

Charges for one mile by Gateway Auto = $0.12

Charges for $x$ miles by Gateway Auto = $0.12 $x$

Total charges by Gateway Auto = $35 + $0.12 $x$

As per question statement, the charges are same:

$\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}$

4 0

3 years ago

List the fractions in descending order of 2/5 8/9 4/5 1/3 3/10

snow_lady [41]

Answer:

8/9, 4/5, 2/5, 1/3, 3/10

Step-by-step explanation:

2/5 = 0.4 8/9 = 0.888 4/5 = 0.8 1/3 = 0.333 3/10 = 0.3

8 0

3 years ago

Terry wants to divide his 120 baseball cards into two groups, so that the ratio of the number of cards in the first group to the

Naddik [55]

Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72

7 0

3 years ago