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salantis [7]
3 years ago
13

What is the answer and how do I solve it?

Mathematics
1 answer:
vichka [17]3 years ago
4 0
The lengths of the rectangles are 7 and 12 respectively.  Form the ratio 7/12.  The widths of the rects. are x and 5 respectively.  Form the ratio x/5.  Now equate these two ratios:

7       x
--- = ---
12     5

Solve this for x.  One way to do this would be to cross-multiply, obtaining 12x = 35, and solving this result for x.  x will be a fraction.  Write the numerator and denominator in the boxes given.
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The perpendicular bisectors of AABC intersect at point<br> G. Find the length of BG.<br> B
Paladinen [302]

Answer:

\overline{GB} = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides \overline{BC}, \overline{BA}, and \overline{CA} intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to \overline{BC}, we have for ΔBGD and ΔCGD;

\overline{GD} ≅ \overline{GD} by reflexive property

∠GDB = ∠GDC = 90° given that \overline{GD} is the perpendicular bisector of \overline{BC}

Similarly, \overline{DB} ≅ \overline{DC}, also given that  \overline{GD} is the perpendicular bisector of \overline{BC}

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

\overline{GB} ≅ \overline{GC}   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

\overline{GB} = \overline{GC} = 9 by definition of congruency

∴ \overline{GB} = 9.

4 0
3 years ago
Simplify the expression 2x+x(x+6)
joja [24]

Answer:

SIMPLIFIED :

Let's simplify step-by-step.

2x+x(x+6)

Distribute:

=2x+(x)(x)+(x)(6)

=2x+x2+6x

Combine Like Terms:

=2x+x2+6x

=(x2)+(2x+6x)

=x2+8x

Answer:

=x2+8x

FACTORED

Factor 2x+x(x+6)

x2+8x

=x(x+8)

Answer:

x(x+8)

Step-by-step explanation:

Brainliest Please

6 0
3 years ago
Read 2 more answers
Convert 4x=1+2y from standard form to slope intercept form
gregori [183]

Answer:

3x=2y

Step-by-step explanation:

subtract on from each side 4x-1=1-1+2y=3x+2y

7 0
4 years ago
A photo of a mosquito in a science book is magnified to 635% of the mosquito's actual size.If the mosquito is 16 millimetres lon
alexdok [17]

Answer:

The length of the mosquito in the picture is 117.6 mm.

Step-by-step explanation:

This question can be solved using a rule of three.

The real size of the mosquito is 16 mm, which is 100% = 1.

In the picture, the size is magnified 635%, so it is 100+635 = 735% = 7.35. So

16mm - 1

x mm - 7.35

x = 7.35*16 = 117.6

The length of the mosquito in the picture is 117.6 mm.

4 0
4 years ago
A large university accepts 50% of the students who apply. Of the students the
My name is Ann [436]

Answer:

around 13,000 of them will enroll

7 0
3 years ago
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