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AlladinOne [14]
2 years ago
12

Two angles are complementary. one angle is 10° less than four times the other angle. find the measures of the angles. what's the

smaller and largest angle

Mathematics
1 answer:
777dan777 [17]2 years ago
7 0
The two angles are complementary, meaning the sum of the two angles equals to 90.
Let the degree of the smaller angle be x.
degree of the larger angle be y.
x+y= 90
y= 4x-10
x+4x-10= 90
5x= 100
x= 20
y= 4(20)-10= 70
And: The degree of the smaller and larger angles are 20 and 70 respectively.
You might be interested in
Reduce to the simplest form. -9/6 + (-3/5)
creativ13 [48]

Answer:

-\frac{21}{10} or -2.1 (they're the same)

Step-by-step explanation:

  1. Simplify: -\frac{9}{6} + (-\frac{3}{5}) = -\frac{9}{6} - \frac{3}{5}  
  2. Find a common denominator. The LCM of 6 and 5 is 30, so multiply the numerator and the denominator by the same thing: 6 × 5 = 30, -9 × 5 = -45, 5 × 6 = 30, 3 × 6 = 18
  3. Write the new fractions: -\frac{45}{30} - \frac{18}{30}  
  4. Subtract: -45/30 - 18/30 = -\frac{63}{30} = -\frac{21}{10}

I hope this helps!

5 0
3 years ago
Jamal spends $63.50 on supplies to make some woodworking items. If he sells his items for $7.25 each, how many items does he hav
qwelly [4]

Answer:

15.65 so round it to 16

Step-by-step explanation:

Add 50 and 63.5 then divide by 7.25

4 0
2 years ago
Read 2 more answers
What is the middle integer?
Elanso [62]

Answer:

-56

Step-by-step explanation:

Hello!

Let's create an equation to figure out what the middle integer really is.

Creating an equation:

n + (n + 1) + (n + 2) = -168 (This is true because we must account for the <em>consecutive integers </em>part.)

Simplifying:

3n + 3 = -168

Subtracting:

3n = -171

Dividing:

n = -57

Now, we plug-and-chug:

-57, -56, -54 (this is because we accounted for adding <em>positive </em>one.)

Thus, the middle integer is \boxed{-56}.

Check:

We can see if we are correct by adding up -57, -56, -54.

(-57) + (-56) + (-54) = -168

So we are correct!

Hope this helps!

7 0
3 years ago
Simplify the expression by arranging the steps in sequence based on the order of operations 1/6(30x+24)-1/7(63-7×)
alex41 [277]

Answer:

6x-5

Step-by-step explanation:

We apply distributive property to get rid of the first parenthesis, by multiplying each term inside by the factor 1/6:

\frac{1}{6} (30x+24)-\frac{1}{7} (63-7x)\\\frac{30}{6} x+\frac{24}{6} -\frac{1}{7} (63-7x)\\5x+4-\frac{1}{7} (63-7x)

now we get rid of the second parenthesis by multiplying the factor "-\frac{1}{7}" times each of the terms inside the parenthesis (notice here that this factor is negative , so it will flip the signs of the terms it multiplies):

5x+4-\frac{1}{7} (63-7x)\\5x+4-\frac{63}{7} +\frac{7}{7} x\\5x+4-9+x

Next we combine like terms:

5x+4-9+x\\5x+x+4-9\\6x-5

7 0
2 years ago
Solve by graphing. x2 2x - 8 = 0<br> a. –2, 4<br> b. 2, –4<br> c. 2, –4<br> d. –2, 4
Luba_88 [7]
Well, to solve, garph the equation y=x^2+2x-8 and y=0
see where they intersect

anyway the easier way is to factor but anyway
0=(x-4)(x+2)


anyway

solution is x=4 and -2

A and D are answers (they are same)
4 0
3 years ago
Read 2 more answers
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