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2 years ago

Find the measurement of both complementary angles, if:

2 answers:

5 0

We are given one angle that is 3 times less than others. Let us assume one angle measure is x degrees and another is 4x. Because x is 3x less than 4x. ( We can check 4x-x= 3x) Sum of complementary angles is 90 degrees. So, we can set up an equation, First angle measure + first angle = 90 degrees. x+4x = 90. Adding x and 4x, we get 5x. So, 5x = 90. Dividing both sides by 5, we get 5x/5 = 90. x= 18. So, one angle is 18 degrees. Another angle = 4x = 4 times 18 = 72 degrees. So, the required angles are of 18 degrees and 72 degrees.

aev [14]2 years ago

4 0

Answer:

either of two angles whose sum is 90°.

So the angels would have to be: 30° and 60°

Step-by-step explanation:

Which both angels together= 90°

Hope this helped you! :3

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Four movie tickets in Germany plus 3 movie tickets in France cost &62.27 three tickets in Germany plus 4 tickets in France c

vfiekz [6]

Answer:tickets in Germany cost $8.93

tickets in France cost $8.85

Step-by-step explanation:

Let x represent the cost of a movie ticket in Germany.

Let y represent the cost of a movie ticket in France.

Four movie tickets in Germany plus 3 movie tickets in France cost &62.27. This means that

4x + 3y = 62.27 - - - - - - - - 1

three tickets in Germany plus 4 tickets in France cost $62.19

This means that

3x + 4y = 62.19 - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 4. It becomes

12x + 9y = 186.81

12x + 16y = 248.76

Subtracting,

- 7y = - 61.95

y = - 61.95/7

y = 8.85

Substituting y = 8.85 into equation 1, it becomes

4x + 3×8.85 = 62.27

4x + 26.55 = 62.27

4x = 62.27 - 26.55

4x = 35.72

x = 35.72/4 = 8.93

7 0

2 years ago

HELP PLEASE!!!!!!!!!!!

emmainna [20.7K]

Answer:

Part 1) $y=-x^{2}$ ---> Translated up by 1 units

Part 2) $y=x^{2}+1$ ---> Reflected across the x-axis

Part 3) $y=-(x+1)^{2}-1$ ---> Translated left by 1 unit

Part 4) $y=-(x-1)^{2}-1$ ----> Translated right by 1 unit

Part 5) $y=-x^{2}-1$ ----> Reflected across the y-axis

Part 6) $y=-x^{2}-2$ ----> Translated down by 1 unit

Step-by-step explanation:

we know that

The parent function is

$y=-x^{2}-1$ ----> this is a vertical parabola open downward with vertex at (0,-1)

<em>Calculate each case</em>

Part 1) Translated up by 1 unit

The rule of the translation is

(x,y) -----> (x,y+1)

(0,-1) ----> (0,-1+1)

(0,1) ----> (0,0) ----> the new vertex

The new function is equal to

$y=-x^{2}$

Part 2) Reflected across the x-axis

The rule of the reflection is

(x,y) -----> (x,-y)

(0,-1) ----> (0,1) ----> the new vertex

The new function is equal to

$y=x^{2}+1$

Part 3) Translated left by 1 unit

The rule of the translation is

(x,y) -----> (x-1,y)

(0,-1) ----> (0-1,-1)

(0,1) ----> (-1,-1) ----> the new vertex

The new function is equal to

$y=-(x+1)^{2}-1$

Part 4) Translated right by 1 unit

The rule of the translation is

(x,y) -----> (x+1,y)

(0,-1) ----> (0+1,-1)

(0,1) ----> (1,-1) ----> the new vertex

The new function is equal to

$y=-(x-1)^{2}-1$

Part 5) Reflected across the y-axis

The rule of the reflection is

(x,y) -----> (-x,y)

(0,-1) ----> (0,-1) ----> the new vertex

The new function is equal to

$y=-x^{2}-1$

Part 6) Translated down by 1 unit

The rule of the translation is

(x,y) -----> (x,y-1)

(0,-1) ----> (0,-1-1)

(0,1) ----> (0,-2) ----> the new vertex

The new function is equal to

$y=-x^{2}-2$

3 0

3 years ago

1. write it on a piece of paper

stiv31 [10]

$\\ \sf\longmapsto 1\dfrac{1}{2}+2\dfrac{3}{4}$

$\\ \sf\longmapsto \dfrac{3}{2}+\dfrac{11}{4}$

$\\ \sf\longmapsto \dfrac{6+11}{4}$

$\\ \sf\longmapsto \dfrac{17}{4}$

2:-

$\\ \sf\longmapsto 4\dfrac{3}{7}+6\dfrac{1}{5}$

$\\ \sf\longmapsto \dfrac{31}{7}+\dfrac{31}{5}$

$\\ \sf\longmapsto \dfrac{155+225}{35}$

$\\ \sf\longmapsto \dfrac{380}{35}$

$\\ \sf\longmapsto 12$

3:-

$\\ \sf\longmapsto 4\dfrac{2}{5}+5\dfrac{2}{6}$

$\\ \sf\longmapsto \dfrac{22}{5}+\dfrac{32}{6}$

$\\ \sf\longmapsto \dfrac{132+160}{30}$

$\\ \sf\longmapsto \dfrac{292}{30}$

4:-

$\\ \sf\longmapsto 3\dfrac{7}{7}+3\dfrac{1}{3}$

$\\ \sf\longmapsto \dfrac{28}{7}+\dfrac{10}{3}$

$\\ \sf\longmapsto 4+\dfrac{10}{3}$

$\\ \sf\longmapsto \dfrac{12+10}{3}$

$\\ \sf\longmapsto \dfrac{22}{3}$

7 0

3 years ago

Read 2 more answers

10. Mrs. Simon is trying to find the amount of floor

luda_lava [24]

:

The area.

She is trying to find how to cover it, which would be the area of the floor.

5 0

2 years ago

Put in least to highest order 6.86,6.8,7,6.9,6.827 and 12.03,1.2,12.3,1.203,12.301

Anon25 [30]

6.8,6.827,6.86,6.9

1.2,1.203,12.03, 12.301,12.31

6 0

2 years ago