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USPshnik [31]
3 years ago
12

The length of a rectangle is twice the width. the perimeter is 32 cm more than the width. find the dimensions of the rectangle.

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
7 0
Width: x
Length: 2x
Perimeter=2x+2x+x+x=6x
32 cm more than width means x+32
6x=x+32
5x=32
x=6.4
Dimension is 6.4×12.8 (width×length)
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Which shapes can be drawn with two opposite angles equal to 105°
sertanlavr [38]

Answer:

see the explanation

Step-by-step explanation:

we know that

A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid

Because

<em>A quadrilateral</em>: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees

so

If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

<em>A parallelogram</em>: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary

so

If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A rhombus</em>: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary

so

If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A trapezoid</em>: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel

so

If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

4 0
2 years ago
A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?
makkiz [27]

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

3 0
2 years ago
Read 2 more answers
If 4 electricians can complete a job in 8 hours how long will it take 3 electricians to complete the same job
levacccp [35]
We know that

if <span>4 electricians can complete a job in 8 hours
then
</span>100% of a job -------> 8 hours
x------------------> 1 hour
x=100/8----> x=12.5%

divide by 4 electricians
12.5%/4-----> 3.125%
that means each electrician can complete 3.125% of a job in 1 hour

therefore
3 electricians-----> 3*3.125%----> 9.375% in 1 hour
so
9.375%-----------> 1 hour
100%--------------> x
x=100/9.375----> x=10.67 hours

the answer is
10.67 hours

8 0
3 years ago
the ratio of peanut butter to cookie dough in a mixture is 1:5. Which of the following best describes the amount of peanut butte
arsen [322]
There is 5 times the amount of cookie dough to peanut butter
x:5x
6 0
3 years ago
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The direction of mixing an insect spray to use 2 7/8 ounces of chemical in each gallon of water. How many ounces of chemical sho
Gwar [14]
Need approx 3 oz chemical to 1 gal water.
Conversion factor is then approx.      3 oz
                                                          ---------
                                                           1 gal

Mult this result by 6 gal.  This gives you 18 oz, approx.


Now let's look for a more exact solution:

2.75 oz      19 gal
---------- * ---------- = 17.4 oz.  The 18 oz estimate was close.
1 gal           3
7 0
3 years ago
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