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Inga [223]
3 years ago
10

Solve for X Please and thanks

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

<u>Given</u>:

The measure of ∠ABD is (4x + 15)°

The measure of ∠DBC is (13x + 7)°

We need to determine the value of x.

<u>Value of x:</u>

Since, we know the property that every angle in a rectangle is 90°

Hence, the value of x can be determined by adding the two angles and equating to  90°

Thus, we have;

\angle ABD+\angle DBC=90^{\circ}

Substituting the values, we have;

4x+15+13x+7=90

              17x+22=90

                      17x=68

                          x=4

Thus, the value of x is 4.

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A participant in a medical study walked 11,567 steps per day. If their steps are 2.5 feet per step, how many kilometers would th
Paladinen [302]

Answer:

Approximately 61.7 kilometers in a week

Step-by-step explanation:

11567 steps/day x 7 days/week x 2.5 feet/step x 1 kilometer/3280 feet = 61.7

8 0
3 years ago
Match the following items by evaluating the expression for x = -2.
Sloan [31]

Answer:

1)  -4

2) -3

3) 1

4) -2

5) 4

Step-by-step explanation:

According to the information given in the exercise, the value of "x" is:

x = -2

Then:

1) You must substitute  x = -2 into the expresion x-2:

=(-2)-2

Now, you must evaluate:

=-4

2) You have to substitute the given value of "x" into the second expression:

x-1=(-2)-1

Finally, evaluating, you get the following result:

=-3

3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.

Then, substituting x = -2 into the expression x^0 and then evaluating, you get:

x^0=(-2)^0=1

4) By definition:

 a^1=a

Then, substituting   x = -2 into x^1 and evaluating, you get:

x^1=(-2)^1=-2

5) Since:

 a^2=a*a

When you substitute the given value of "x" into the last expression and then  you evaluate, you get:

x^2=(-2)^2=(-2)(-2)=4

4 0
2 years ago
5x - 3y = 24////standard form to slope intercept form
zhenek [66]

Answer:

y =5/3x - 8

Step-by-step explanation:

5x - 3y = 24

-3y = -5x + 24

y = 5/3x - 8

7 0
2 years ago
The top of a storage container is a hemisphere with a diameter of 28 feet. What is the volume of the storage container? Round yo
creativ13 [48]

Answer:

5749.3 cubic feet

Step-by-step explanation:

The volume of the  storage container would be defined by the volume of the shape; a hemisphere

The volume V of  a hemisphere is given as

V = 2/3 π r^3

where r is the radius of the hemisphere

Given that the diameter is 28 feet, the radius = 14 feet

hence the volume

= 2/3 * π * 14^3

= 5749.333333

To the nearest tenth

= 5749.3 cubic feet

5 0
2 years ago
If Michelle had 5 cups of water 4 cups sugar and 3 cups of powdered lemonade what is the fraction of powdered lemonade
m_a_m_a [10]
I think it would be 2/3 maybe
4 0
3 years ago
Read 2 more answers
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