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3 years ago

In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?

1 answer:

8 0

First, solve for each of the angles. Since it is a right triangle, one of the angles is 90 degrees. Knowing that the sum of the angles of a triangle are always equal to 180 degrees, you can write an equation for the triangle.

Angle1+ angle2+angle3=180.

Which means that 90+(x+15)+2x=180.

After finding the value of x, which is 25 in this case, solve for each angle.

X+15=25+15=40.

2x=25*2= 50

The value of the smallest angle is 40 degrees.

You might be interested in

Find the measure of <_B (show work if possible)

Mandarinka [93]

Answer: <b is 59.3 degrees

Step-by-step explanation:

Triangles have total of 180 degrees

The bottom two points are both 4y

To solve: 4y+4y+(3y+14)=180

11y+14=180

-14

11y=166

Divide by 11

Y=15.1

So plug that in for y

3(15.1)+14=B

59.3

Hope this helped

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6 0

3 years ago

Point J is located at (2,5)(2,5) and point K is located at (4,19)(4,19).

Anni [7]

We have the coordinates
J (2,5)
K (4,19)

Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,

Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2

Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4

The coordinates of the point is
(2.2,13.4)

5 0

3 years ago

figure 1 is dillated to get figure 2 what is the scale factor? enter your answer in simplest form in the box

anygoal [31]

Answer:Always put the image on top when you are trying to make it into a fraction, and put the pre-image on the bottom. Since the image is 18 we put the it on top and the 8 (pre-image) on the bottom 18. 18/8. Divide it. 18 ÷ 8.

Read more on Brainly.com - brainly.com/question/9077286#readmore

Step-by-step explanation:

3 0

3 years ago

What is the coeffieent of (x^4)(y^4) in the expansion of (x+y)^8

kap26 [50]

ANSWER

The coefficient is 70.

EXPLANATION

The given binomial expression is

$(x+y)^8$

The specific term of a binomial expansion can be determined using the formula,

$T_{r+1}= nC_ra^{n-r}b^r$
where

$n=8,r=4,a=x,b=y$

We substitute these values into the formula to get,

$T_{4+1}= 8C_4x^{8-4}y^4$

We simplify to get,

$T_{5}= 70x^{4}y^4$

Hence the coefficient is 70.

4 0

3 years ago

Slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to c

Vitek1552 [10]

Answer:

0.9953, 3.3629<x<4.0371

Step-by-step explanation:

Given that slader the internal revenue service claims it takes an average of 3.7 hours to complete a 1040 tax form, assuming th4e time to complete the form is normally distributed witha standard devait of the 30 minutes:

If X represents the time to complete then

X is N(3.7, 0.5) (we convert into uniform units in hours)

a) percent of people would you expect to complete the form in less than 5 hours

= $100*P(x$

b) P(b<x<c) = 0.50

we find that here

c = 4.0371 and

b = 3.3629

Interval would be

$(3.3629, 4.0371)$

6 0

3 years ago