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kirill [66]
2 years ago
5

An angle measures 3.2° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
cupoosta [38]2 years ago
4 0

Answer:

<h2>        43.4° and 46.6°</h2>

Step-by-step explanation:

x   - measure of angle

x + 3.2°   - measure of its complementary angle

Complementary angles adds to 90°

x + x + 3.2° = 90°

2x = 90° - 3.2°

2x = 86.8°

 x = 86.8°÷2

 x = 43.4°

x+3.2° = 43.4° + 3.2° = 46.6°

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What kind of triangle is abc. Select all that apply. Geometry
pshichka [43]

Answer:

Right, Isosceles

Step-by-step explanation:

The side lengths of this triangle : 2√8 2√5 2√5

Scalane triangle has all side lengths in different measure but in this triangle we have two side lengths equal

Right triangle has a right angle with 90° and the square measure of hypotenuse is equal to sum of the square length of two side lengths in this triangle since 2√5 + 2√5 = 2√8 we can say that this is a right triangle.

Isosceles triangle are triangles with two side lengths equal to each other

Equilateral triangles are triangles with all side lengths equal to each other but we know one of the side length in this triangle is different

so the answer is Right and Isosceles.

6 0
3 years ago
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
scoray [572]

9514 1404 393

Answer:

  • 7 forks
  • 20 spoons

Step-by-step explanation:

Let x and y represent the numbers of forks and spoons made, respectively.

The cost of materials is ...

  1.70x + 1.30y = 37.90

The revenue from sales is ...

  5.60x + 5.40y = 147.20

You can solve these by any of your favorite methods. A graph is attached. It shows the solution is (x, y) = (7, 20).

They made 7 forks and 20 spoons.

_____

<em>Additional working out</em>

The equation coefficients are not "nice" multiples of each other, so elimination  and substitution will require multiplying both equations by some numbers. If we're going to that trouble, we may as well use Cramer's Rule or a variation of the "cross multiplication method". The latter is relatively straightforward and can be easy to remember. It tells you the solution to ...

  ax +by +c = 0

  dx +ey +g = 0

is ...

  1/(ae-db) = x/(bg-ey) = y/(cd-ga)

Here, that becomes ...

  1/(1.70·5.40-5.60·1.30) = x/(1.30·(-147.20)-5.40·(-37.90))

  = y/(-37.90·5.60-(-147.20·1.70))

  1/1.9 = x/13.3 = y/38

  x = 13.3/1.9 = 7 . . . number of forks

  y = 38/1.9 = 20 . . . number of spoons

__

The above solution formula may be more easily remembered in terms of the cross-multiplication pattern that gives the method its name. When the coefficients are written in two rows of four, with the last being a repeat of the first:

  • a b c a
  • d e g d

each of the three denominators (of 1, x, and y) is the difference of products in adjacent columns, formed in an X fashion: ae-db, bg-ec, cd-ga. Note that the equations are written in "general" form, which is similar to "standard" form, but with all of the non-zero terms on the left of the equal sign. (This has the effect of changing the sign of the constants: 1.7x+1.3y=37.9 ⇒ 1.7x+1.3y-37.9=0)

8 0
2 years ago
An angle cannot be the complement of one angle and the supplement of another angle at the same time. is this true or false?
soldi70 [24.7K]

An angle cannot be the complement of one angle and the supplement of another angle at the same time. Then the given statement is false.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

An angle cannot be the complement of one angle and the supplement of another angle at the same time.

Then the given statement is false.

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1

8 0
2 years ago
Unit #2 - Lesson #7 Exit Ticket: Solve the equation shown below for the variable x. Place your answer in the answer box.​
jolli1 [7]

Answer:

x = bc + 2b

PLEASE MARK ME AS BRAINLIEST

7 0
2 years ago
What is the product?
fredd [130]

Answer:

\frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}   =  \frac{2}{k + 2}

Step-by-step explanation:

\frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}

To solve the above, we need to follow the steps below;

4k+2 can be factorize, so that;

4k +2 = 2 (2k + 1)

k² - 4  can also be be expanded, so that;

k² - 4 = (k-2)(k+2)

Lets replace  4k +2  by  2 (2k + 1)

and

k² - 4 by  (k-2)(k+2)   in the expression  given

\frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}

\frac{2(2k+ 1)}{(k-2)(k+2)}   ×  \frac{k-2}{2k+1}

(2k+1) at the numerator will cancel-out (2k+1) at the denominator, also (k-2) at the numerator will cancel-out (k-2) at the denominator,

So our expression becomes;  

\frac{2}{k + 2}

Therefore, \frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}   =  \frac{2}{k + 2}

3 0
3 years ago
Read 2 more answers
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