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2 years ago

What is the value of 3 in the figure shown below?

Mathematics

1 answer:

NeX [460]2 years ago

7 0

9514 1404 393

Answer:

Step-by-step explanation:

Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.

∠E = 180° -118° -30° = 32°

The value of x is 32.

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Make a ten or a hundred to add mentally 339+123

lianna [129]

9+3=12
30+20=50
300+100=400
Then add.
12+50+400=462
So 339+123=462

5 0

2 years ago

Detailed answers appreciated: (7a -4) (2a -5)

igor_vitrenko [27]

Expand the expression?

Perform indicated multiplication:

7a(2a)+7a(-5)-4(2a)-4(-5)

14a^2-35a-8a+20 combine like terms, ie (-35a-8a)=-43a

14a^2-43a+20

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2 years ago

Read 2 more answers

A person is trapped in a burning building 60feet off the ground. A rescuer has a 70 foot ladder, but for safety purposes the lad

Neko [114]

Yes because, if the building is 60 ft from the ground and the ladder is 70 ft,shouldn’t it escalate an extra 10 ft because this is technically an emergency and it can be considered to be used as a reason for safety purposes, if I’m not mistaken

3 0

2 years ago

Please help me with this homework question. No silly answers please and no bots! I will mark brainliest to whoever gets all them

MatroZZZ [7]

Answer:

The formula for the area of the triangle is:

$\displaystyle A=24x^2$

When x = 3, the area is 216 square centimeters.

When x = 2.4, the area is 138.24 square centimeters.

And when x = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8x and a base of 6x.

The area of a triangle is given by the formula:

$\displaystyle A=\frac{1}{2}bh$

So, by substitution:

$\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2$

When x = 3, the area will be:

$\displaystyle A(3)=24(3)^2=216\text{ cm}^2$

And when x = 2.4, the area will be:

$A(2.4)=24(2.4)^2=138.24\text{ cm}^2$

When x = 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

$a^2+b^2=c^2$

So:

$(40)^2+(30)^2=c^2$

The hypotenuse will be:

$c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}$

3 0

2 years ago

Solve each compound inequality (show your work!)

zimovet [89]

Answer: -1 < x < 8

x = 3

x ≠ 2

Step-by-step explanation:

Isolate x in the middle. Perform operations to all 3 sides.

-6 < 2x - 4 < 12

+4 +4 +4

-2 < 2x < 16

÷2 ÷2 ÷2

-1 < x < 8

**************************************************************************

Isolate x. Solve each inequality separately. Remember to flip the sign when dividing by a negative.

4x ≤ 12 and -7x ≤ 21

÷4 ÷4 ÷-7 ÷-7

x ≤ 3 and x ≥ 3

Since it is an "and" statement, x is the intersection of both inequalities.

When is x ≤ 3 and ≥ 3? when x = 3

****************************************************************************

Isolate x. Solve each inequality separately.

15x > 30 or 18x < -36

÷15 ÷15 ÷18 ÷18

x > 2 or x < 2

Since it is an "or" statement, x is the union of both inequalities.

When we combine the inequalities, x is every value except 2.

x ≠ 2

4 0

2 years ago