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Aloiza [94]
3 years ago
14

Write 796.384 in expanded form

Mathematics
1 answer:
Korvikt [17]3 years ago
3 0
700+90+6+0.3+0.08+0.004
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Plz answer all measures plz ASAP thx
LiRa [457]

Lines <em>a</em> and <em>b</em> are parallel, so lines <em>p</em>, <em>q</em>, and <em>t</em> are considered to be transversals. To solve this, you make use of the fact that alternate interior angles are equal, as are alternate exterior angles, as are corresponding angles. Of course any linear pair of angles is supplementary.

∠1 = 90° — corresponding angle to the right angle above it

∠2 = 68° — the sum of 22° and angles 1 and 2 is 180°

∠3 = 112° — supplementary to angle 2 (and the sum of 22° and 90°, opposite interior angles of the triangle)

∠4 = 112° — equal to angle 3

∠5 = 68° — equal to angle 2; supplementary to angle 4

∠6 = 56° — base angle of isosceles triangle with 68° at the apex; the complement of half that apex angle

∠7 = 124° — supplementary to the other base angle, which is equal to angle 6; also the sum of angles 5 and 6

∠8 = 124° — alternate interior angle with angle 7, hence its equal.

3 0
3 years ago
Read 2 more answers
How do you convert 1.16 in to a fraction
vfiekz [6]
1.16=\frac{116}{100}=1\frac{16}{100}=1\frac{16:4}{100:4}=1\frac{4}{25}
7 0
2 years ago
How many different 5-person subcommittees can be formed from a club having 12 members
Wittaler [7]
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
3 0
2 years ago
Could I get some help in here​
IgorC [24]

Answer:

  98 ft²

Step-by-step explanation:

There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...

  A = (1/2)(14 ft)(14 ft) = 98 ft²

Of course the area of the square from which it is cut is ...

  A = (14 ft)² = 196 ft²

So, the net area of the two triangles shown is ...

  A = (196 ft²) - (98 ft²) = 98 ft²

_____

Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...

  A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)

We can factor out 7 ft to get ...

  A = (7 ft)(x ft + (14 -x) ft)

  A = (7 ft)(14 ft) = 98 ft²

3 0
3 years ago
Solving for Unknown Angle Measures
Tresset [83]

Answer:

angle 4 is a full angle because it is represented full 110

4 0
3 years ago
Read 2 more answers
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