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Mrrafil [7]
3 years ago
11

Angle A and angle b are complementary angles. If m angle A=4x+6 and m angle b=4x-4 then find the measure of angle A

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0

Answer:

<h3>             m∠A = 46°</h3>

Step-by-step explanation:

∠A and∠B being complementary means  m∠A+m∠B=90°

m∠A = (4x+6)°  and m∠B = (4x+4)°

so:

   4x+6 + 4x+4 = 90

    8x + 10 = 90

     8x = 80

       x = 10

m∠A = (4•10+6)° = 46°

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Help, please !! you will get 10 points !!
Darya [45]

Answer:

25.5

Step-by-step explanation:

Using SOH CAH TOA, you can see that x is the hypotenuse, and 24 is adjacent to the angle 20, so you will need to use CAH.

CAH is cos=adjacent/hypotenuse. Substituting our values in means cos(20) will be equal to 24/x. By cross multiplying, you receive cos(20) x =24. To find x, divide 24 by cos(20) to get 25.5 to the nearest tenth.

4 0
3 years ago
Point E is located at (−2,4) and point F is located at (5,10) . What are the coordinates of the point that partitions the direct
lina2011 [118]

Solution:

Coordinates of Point E and F are (-2,4) and (5,10).

Suppose the Point M(x,y), divides the Line Segment Joining E (-2,4) and F (5,10) in the 7:3 ratio.

So, EM: MF= 7:3

Formula for internal Division

x=\frac{mx_{2}+nx_{1}}{m+n}, y=\frac{my_{2}+ny_{1}}{m+n}

x=\frac{3 \times (-2) +7 \times 5}{3 +7},\\\\ x=\frac{-6 +35}{10}\\\\x=\frac{29}{10}\\\\ y =\frac{3 \times 4 +7 \times 10}{3+7}\\\\ y=\frac{12+70}{10}\\\\ y=\frac{82}{10}

So,we get

x= 2.9

and , y= 8.2


6 0
4 years ago
Calculate the quotient of 2 8 divided by 1 4 .
Lunna [17]

Answer:

2 28 divided by 14 is 2

Step-by-step explanation:

28÷14=2

5 0
3 years ago
What is the reciprocal of 1.8?
katovenus [111]

Answer:

10/18

Step-by-step explanation:

To convert 1.8 to a reciprocal, you first need to change it into a fraction.

1.8 basically expresses 1 \frac{8}{10} which equals \frac{18}{10}.

Since a reciprocal is just switching the top and bottom of a fraction, your reciprocal of 1.8 will be \frac{10}{18}.

You can simplify this if you want, to get \frac{5}{9}. Either one is correct.

Please mark as Brainliest! :)

3 0
4 years ago
Read 2 more answers
Graph each absolute value function. State the domain, range, and y-intercept.
Paraphin [41]

Answer:

i)D:x\in R

ii)R: y\ge-3

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

f(x)=|x+2|-3.

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

f(x)=|x+2|-3.

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is y\ge-3

iii) To find the y-intercept substitute x=0 in to the function.

f(0)=|0+2|-3.

f(0)=|2|-3.

f(0)=2-3.

f(0)=-1.

The y-intercept is (0,-1)

See attachment for graph.

6 0
4 years ago
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