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ZanzabumX [31]
3 years ago
5

In the diagram below, the red angle $(\angle YAK)$ and the blue angle $(\angle OAT)$ are both right angles. If $\angle YAO=23^\c

irc,$ then what is the measure of $\angle KAT$?

Mathematics
2 answers:
m_a_m_a [10]3 years ago
8 0

Answer:

Hey kroy21; the answer is 23°.

Step-by-step explanation:

Angle YAO and angle KAT are both complementary to angle OAK.

Angle OAK= 90°- Angle YAO

                  = 90° - 23°

                  = 67°

Then:

Angle KAT= 90° - Angle OAK

                 =90° - 67°

                 =23°

Hope this helps!!!

:o)

Aleonysh [2.5K]3 years ago
7 0

Answer:a

Step-by-step explanation:

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On a cross country trip the Anderson family plan to average 500 miles in 10 hours of driving each day on average how many miles
PolarNik [594]

Answer:

50 miles per hour

Step-by-step explanation:

500 miles in 10 hours

= 500/10

= 50 miles per hour

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3 years ago
Nik needs to estimate how many books will fit in a bin. Each book is 0.75 feet tall, 0.75 feet wide, and 0.25 feet thick. The bi
cricket20 [7]

Step-by-step explanation:

first you find the volume of a bin.

that is multiplication of 3 dimensions given.

4*4*4=64 cubic feet...

now volume of books..

0.75*0.75.0.25=0.14 cubic feet

now the number of books that will fit the bin=volume of bin/volume of books

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7 0
3 years ago
Help pleaseeeeeeee.
Dmitry_Shevchenko [17]
Answer: 11x

---------------------------------------------------
---------------------------------------------------

Explanation:

Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.

For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.

The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x

The perimeter of the rectangle is 
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x

Since both perimeters are the same, this means 
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x

So the length of the rectangle, in terms of x, is 11x. This is the final answer.

Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.

7 0
3 years ago
Find the equation of a line that contains the points (−3,−1) and (−4,−7). Write the equation in slope-intercept form
BARSIC [14]

Answer:

y =6x+17

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-7- -1)/(-4 - -3)

   = (-7+1)/(-4+3)

   -6/-1

   6

The slope intercept form of the equation is

y = mx+b  where m is the slope and b is the y intercept

y = 6x+b

Substitute a point into the equation

-1 = 6(-3) +b

-1 = -18+b

Add 18 to each side

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The equation is

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8 0
3 years ago
Herbert has sold 99, 37, 86, and 73 copeirs in the last 4 months, respectivly. How many copiers will he need to sell this month
jolli1 [7]

Answer:

Therefore 80 ceperies will he need to sell this month.

Step-by-step explanation:

Average: Average is the ratio of sum of all numbers to the total number present in the data.

Given that Herbert has sold 99, 37, 86 and 73 copeirs in the last 4 months.

Let he need to sell x copeirs in this month.

According to the problem,

\frac{99+37+86+73+x}{5}=75

⇒ 99+37+86+73+x= 75×5

⇒295 + x= 375

⇒x = 375 - 295

⇒ x= 80

Therefore 80 ceperies will he need to sell this month.

3 0
3 years ago
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