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marishachu [46]
3 years ago
13

The first one asks for the value of x. I need help on both. I am struggling to understand how to do this, please help

Mathematics
1 answer:
zzz [600]3 years ago
6 0

(1) since the horizontal lines are parallel, and you know the vertical intersecting line crosses at right angle, it must be that the two angles with variable x sum up to 90 degrees. So same rewritten as an equation:

x+8+6x-58 = 90

7x = 140

x = 20 (degrees)

(2) here you have two variable so you will need to find two equations.

The first one comes from the triangle and its angles summing up to 180:

63 + (3x+45) + (y-6) = 180

The second one comes from the fact that the two horizontal lines are parallel and so the angles (7x-7) and (3x+45) must be the same:

7x-7=3x+45

Let's solve the last one first:

4x = 52

x = 13

then plug this solution into the first equation and solve for y

63 + (3x+45) + (y-6) = 180

3x + y = 78

y = 78-39 = 39

so the value of y is 39 (degrees)

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A car travels 6 miles in 5 minutes. How fast is it going in miles per hour? How fast is it going in meters per second?
belka [17]

Answer:

72 m\ p.h.

Step-by-step explanation:

we have 60 minute in one hour

we must divide 60 by 5=12

then 6*12=72!!!

it is very easy

5 0
3 years ago
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Choose the polynomial written in standard form.
Semenov [28]

Answer:

x^4 + 4x^3 + 10x

Step-by-step explanation:

A polynomial written in decreasing order of the degree of its monomials ( or single term ) is called its standard form,

In polynomial,

x^2 + 4x^4 + 10x^6,

Degrees are written in increasing order,

⇒ It is not written in standard form,

In polynomial,

x^4 + 4x^3 + 10x,

Degrees are written in decreasing order,

⇒ It is written in standard form,

In polynomial,

x^7 + 4x^3 + 10x^4,

There is no order of degrees,

⇒ It is not written in standard form,

In polynomial,

x^6 + 4x^3 + 10x^7,

There is no order of degrees,

⇒ It is not written in standard form,

4 0
3 years ago
Read 2 more answers
The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”
balandron [24]
Example of use of terms:
Statement:  If it is far, we take a bus.
Inverse:       If it is not far, we do not take a bus.
Converse:   If we take a bus, it is far.
Contrapositive:  If we do not take a bus, it is not far.

We also know that
1. The inverse of the inverse is the statement itself, and similarly for converse and contrapositive.
2. Only the contrapositive is logically equivalent to the original statement.
This means that the converse and inverse are logically different from the original statement.

Now back to the given statement.
To find the original statement, we find the contrapositive of the contrapositive.
We then find the converse from the original statement, as in the example above.

Original statement
(note that in English, if it is not worth X dollars, means if it is not worth AT LEAST X dollars")
contrapositive of 
<span>
"If an item is not worth five dimes, then it is not worth two quarters.”
is the negation of the converse, which become
"If an item is worth two quarters, then it is worth (at least) five dimes."


The converse of the previous statement is therefore
"If an item is worth (at least) five dimes then it is worth two quarters"

In this particular case, we can also take advantage of the fact that the contrapositive is the negation of the converse.  So all we have to do is the provide the negation of each component of the contrapositive to get the converse:
"If an item is worth (at least) five dimes, then it is worth two quarters".
as before.

Note that the converse does NOT logically mean the same as the original statement.

</span>
6 0
3 years ago
Marissa is drawing coins from a bag that contains 5 pennies (yellow), 4 nickels (green), 5 dimes
Anna007 [38]

Answer:

\frac{4}{16}=\frac{1}{4}=0.25=25\%

Step-by-step explanation:

Total number of coins in the bag = 5 + 4 + 5 + 2 = 16 coins

Number of nickels in the bag = 4

We have to find the probability that Marissa draws a nickels from the bag.

Probability is defined as the ratio of Number of "Favorable Outcomes" to "Total number of possible outcomes"

In this case total number of possible outcomes is the total number of coins which is 16.

Favorable/Desires outcome is drawing a Nickle from the bag which are 4 in number. So, number of favorable outcomes is 4

Therefore, the probability that she will draw a nickel = \frac{4}{16}=\frac{1}{4}=0.25=25\%

7 0
3 years ago
A pair of shoes that normally sells for $74.88 goes on sale for 25% off. What is the sale price?
igor_vitrenko [27]

Answer:

$56.16

Step-by-step explanation:

74.88 times 0.75 =56.16

3 0
3 years ago
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