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Anettt [7]
3 years ago
7

ABCD is a rectangle. Find the measure of angle CBD.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0

Answer:

60 degrees

Step-by-step explanation:

BWA is an isosceles triangle, meaning that BW and WA are equal in length.

Thus, we have that ABW and WAB are congruent to each other.

ABC is a complementary angle,  so ABW and CBD add up to 90 degrees.

ABW is 30 degrees, so we have 30 degrees+ CBD=90 degrees.

Subtracting thirty degrees from both sides we get CBD=60 degrees.

Hope this helps!

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A square rug has an area 80ft which is the best approximation of the length of one side of the rug.....Explain...If you can show
kow [346]
So to find the answer, first we need to understand how to approximate square roots. 80 is an imperfect square, so we're going to have to round the answer. To find that, we need to find the multiples 80.

72, 80, 81.
8, x, 9

So the distance apart between 72 and 81 is 9. The answer, x, is obviously between 8 and 9, and since the distance between these to is 9, your answer is going to be 8.9 .
5 0
3 years ago
What is the equation of the line that passes through (-3,-1 ) and has a slope of 3/5
vfiekz [6]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (-3, -1) and the slope m = 3/5. Substitute:

y-(-1)=\dfrac{3}{5}(x-(-3))\\\\y+1=\dfrac{3}{5}(x+3)\qquad\text{use distributive property}\\\\y+1=\dfrac{3}{5}x+\dfrac{9}{5}\qqua\text{subtract 1 from both sides}\\\\y=\dfrac{3}{5}x+\dfrac{4}{5}\qquad\text{multiply both sides by 5}\\\\5y=3x+4\qquad\text{subtract 3x from both sides}\\\\-3x+5y=4\qquad\text{change the signs}\\\\3x-5y=-4

Answer:

point-slope form: y + 1 = 3/5(x + 3)

slope-intercept form: y = 3/5x + 4/5

standard form: 3x - 5y = -4

7 0
3 years ago
Plz Help meee!!!<br><br>Factor the Trinomial<br><br>x^2+12x+27​
mojhsa [17]

Answer:

(x + 9)(x + 3)

Step-by-step explanation:

Factor 27 so that the factors, when combined, will equal 12:

x² + 12x + 27

x                9

x                3

(x + 9)(x + 3) is your answer.

Check: Use the FOIL method. Multiply the first two terms, the outside terms, the inside terms, and then the last two terms. Combine like terms:

(x + 9)(x + 3) = x² + 3x + 9x + 27 = x² + 12x + 27 (√)

~

5 0
3 years ago
Read 2 more answers
I need help please this is confusing
kap26 [50]

Step-by-step explanation:

slope formula when it's perpendicular : m1 × m = -1

Now Differentiate the quadratic function given.

d/dx ( x^2 - x + 1 ) at an x value of -1 from the point "(-1 , 3 )"

= 2x - 1 .... plug in the x value

= 2 × -1 - 1 = -3.

Use this equation...

y - y1 = m(x - x1)

m = slope = derivative at x = -1

y1 = value found by subbing -1 into the original function

x1 = the x value often given.

y - 3 = 1/3 (x + 1)

= 1/3x + 1/3 + 3

y = 1/3x + 10/3.

not sure about this one - it probably intersects at the x & y intercepts of the equation of the normal line.

y = 0 + 10/3 = 10/3

1/3x = 0 - 10/3

x = -10/3 / 1/3 = -10

so the point .... (-10 , 10/3)

7 0
2 years ago
What is 23/8 as a decimal?
trasher [3.6K]
To write 23/8 as a decimal you have to divide numerator by the denominator of the fraction. 
<span>We divide now 23 by 8 what we write down as 23/8 and we get 2.875 </span>

<span>And finally we have: </span>
23/8 as a decimal<span> equals </span><span>2.875</span>
7 0
3 years ago
Read 2 more answers
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