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3 years ago

A rectangle has a height of 3 and a width of 2x*2 + 3x - 5 , express area of whole rectangle, please answer this ASAP !!!

Mathematics

1 answer:

monitta3 years ago

8 0

Area is height time width, or in this case, 3(2x^2+3x+5), which is 6x^2+9x+15.

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Find the measure of angle 1

Lubov Fominskaja [6]

In ∆FDH, there are two slash marks in two of its legs. This indicates that this triangle is isosceles. If a triangle is isosceles, then it will have two congruent sides and therefore have two congruent angles.

In ∆FDH, angle D is already given to us as the measure of 80°. We can find out the measure of the other angles of this triangle by using the equation:

80 + 2x = 180

Subtract 80 from both sides of the equation.

2x = 100

Divide both sides by 2.

x = 50

This means that angle F and angle H in ∆FDH both measure 50°.

Now, moving over to the next smaller triangle in the picture is ∆DHG. In this triangle, there are also two legs that are congruent which once again indicates that this triangle is isosceles.

First, we have to solve for angle DHG and we do that by using the information obtained from solving for the angles of the other triangle.

**In geometry, remember that two or more consecutive angles that form a line will always be supplementary; the angles add up to 180°.**

In this case angle DHF and angle DHG are consecutive angles which form a linear pair. So, we can use the equation:

Angle DHF + Angle DHG = 180°

50° + Angle DHG = 180°.

Angle DHG = 130°.

Now that we know the measure of one angle in ∆DHG, we can use the same method as the previous step for solving the missing angles. Use the equation:

130 + 2x = 180

2x = 50

x = 25

The other two missing angles of ∆DHG are 25°. This means that the measure of angle 1 is also 25°.

Solution: 25°

8 0

3 years ago

Read 2 more answers

In the sequence 400, 200, 150, 75, 25...... what number comes next

Scorpion4ik [409]

Answer:

The next term in the sequence = -175

Step-by-step explanation:

Here, the given sequence is : 400, 200, 150, 75, 25...

Now here, in the given sequence,

First Term - Second Term = 400 - 200 = 200

Second Term - Third Term = 200 - 150 = 50

Third term - Fourth Term = 150 - 75 = 75

Fourth term - Fifth term = 75 - 25 = 50

So, following this pattern,

Fifth Term - Sixth term = 200

Or, 25 - Sixth Term = 200

or, Sixth term = 25 - 200 = - 175

Hence, the next term in the sequence = -175

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Xelga [282]

Answer:

The one with the higher amount they put away

Step-by-step explanation:

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2 years ago

UICHL Idlic 3_21 x 28 x= What does x equal

Advocard [28]

Answer:

this is not a real math equation.

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2 years ago

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Nady [450]

Answer:

77.98

is not approximately

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3 years ago

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