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3 years ago

Find the value of x. If necessary, you may learn what the markings on a figure indicate. 74°

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

6 0

X=61°

please see the attached picture for full solution..

Hope it helps...

Good luck on your assignment...

marissa [1.9K]3 years ago

5 0

Answer:

x = 61

Step-by-step explanation:

Left hand triangle containing 1 angle of 74

Label the other angle opposite the marked side also as 74

Find the third angle. Call it y.

y + 74 + 74 = 180 Combine like terms

y + 148 = 180 Subtract 148 from both sides.

y = 180 - 148

y = 32

=============

Now work with the triangle on the right.

label the angle making up the right angle = z

32 + z = 90 These two angles are complementary = 90

32 - 32 + z = 90 - 32 Subtract 32 from both sides

z = 58 Use 58 wherever you see z

x + x + z = 180 Substitute

2x + 58 = 180 Subtract 58 from both sides

2x = 122 Divide by 2

x = 61

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2 years ago

A farmer plowed a rectangular section of land for a new crop. The section measures 24 1/2 yd by 38 1/2 yd. Find the total area i

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Answer: $943\dfrac{1}{4}\text{ sq. yds}$

Step-by-step explanation:

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2 years ago

Su has 5 times as many marbles as Bertha. When Su gives Bertha 10 marbles, they have the same amount. How many marbles did they

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Answer:

Part A)

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B)

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

Step-by-step explanation:

Let

x------> number of marbles that Su has at the beginning

y------> number of marbles that Bertha has at the beginning

we know that

$x=5y$ ----> equation A

$x-10=y+10$ ----> equation B

substitute equation A in equation B

$(5y)-10=y+10$

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$y=5$

Find the value of x

$x=5(5)=25$

Part A) How many marbles did they EACH have at the begining?

The number of marbles that Su has at the beginning is $25$

The number of marbles that Bertha has at the beginning is $5$

Part B) How many did they EACH have at the end?

$x-10=y+10$

$25-10=5+10$

$15=15$

therefore

The number of marbles that Su has at the end is $15$

The number of marbles that Bertha has at the end is $15$

5 0

3 years ago

The ratio of hamburgers to hot dogs is 6 to 5. Three times the number of hot dogs is 6 more than twice the number of hamburgers.

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Answer:the number of hot dogs is 10

Step-by-step explanation:

Let x represent the number of hamburgers.

Let y represent the number of hot dogs.

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3 years ago