ABC, PQR and AQD are straight lines.
ABC is parallel to PQR.
Angle BAQ = 40°
Angle BQA = 90°
Work out the size of the angle marked x.
Give reasons for each stage of your working.​

Answer:

( 0 , − 5 )

Step-by-step explanation:

Answer:

2= 95 degrees

3= 25 degrees

1= 60 degrees

5= 25 degrees

4= 95 degrees

Step-by-step explanation:

2) Straight line is 180 degrees so

180-85=95 degrees

3) I got 25 degrees because it's a corresponding angle of X, which is parallel to 25.

1) A triangle is always 180 degrees, 95+25=120 180-120=60

5) Its another corresponding angle to 25

4) Straight line is 180 degrees 60+25=85 180-85=95

Or you could of worked out the bottom 85 and minus it from 180 which will also correspond to 4

Answer:

x = 4, y = 9.

Step-by-step explanation:

3x -2y = -6 and y = x+5

Substitute y = x + 5 in the first equation:

3x - 2(x + 5) = -6

3x - 2x - 10 = -6

x = -6 + 10

x = 4

So y = 4 + 5 = 9.

Answer:

12.04

Step-by-step explanation:

b = [tex]\sqrt{c^{2} - a^{2} } \\\sqrt{17^{2} - 12^{2} } \\\sqrt{289 - 144} \\\sqrt{145} = 12.04[/tex]

Answer:

-4

Step-by-step explanation:

Answer:

[tex]\theta = 30^\circ, 330^\circ[/tex]

[tex]\theta = \frac{\pi}{6}, \frac{11\pi}{6}[/tex]

Step-by-step explanation:

Given [Missing from the question]

Equation:

[tex]cos\theta = \frac{\sqrt 3}{2}[/tex]

Interval:

[tex]0 \le \theta \le 360[/tex]

[tex]0 \le \theta \le 2\pi[/tex]

Required

Determine the values of [tex]\theta[/tex]

The given expression:

[tex]cos\theta = \frac{\sqrt 3}{2}[/tex]

... shows that the value of [tex]\theta[/tex] is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

[tex]cos\theta = \frac{\sqrt 3}{2}[/tex]

Take arccos of both sides

[tex]\theta = cos^{-1}(\frac{\sqrt 3}{2})[/tex]

[tex]\theta = 30[/tex] --- In the first quadrant

In the fourth quadrant, the value is:

[tex]\theta = 360 -30[/tex]

[tex]\theta = 330[/tex]

So, the values of [tex]\theta[/tex] in degrees are:

[tex]\theta = 30^\circ, 330^\circ[/tex]

Convert to radians (Multiply both angles by [tex]\pi/180[/tex])

So, we have:

[tex]\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}[/tex]

[tex]\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}[/tex]

[tex]\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}[/tex]

[tex]\theta = \frac{\pi}{6}, \frac{11\pi}{6}[/tex]

Answer:

Answer choice one

Step-by-step explanation:

To find the perpendicular line to a given line, just give the reciprocal of the slope and flip the sign.

In this case, you first put the line into the slope-intercept form which would be y=2x-7.

the slope is 2x and the reciprocal is 1/2 and then you flip the sign to be -1/2.

The only one with that slope is answer choice 1.

Answer: the 10th term is 4.1

Step-by-step explanation:

The sum is +0.4 each time.

1=0.5

2=0.9

3=1.3

4=1.7

5=2.1

6=2.5

7=2.9

8=3.3

9=3.7

10=4.1

Answer:

The answer is 23

Step-by-step explanation:

0.5, 0.9, 1.3, 1.7, 2.1, 2.5, 2.9, 3.3, 3.7, 4.1

You get the remaining terms by adding 0.4 to the previous number.  Once all of the terms are found, add them up and you get an answer of 23.

Answer:

y = 36

Step-by-step explanation:

[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]

Answer: 110 degrees

Since the 2 unknown angles in the triangle are equal you do (180-40)/2 to find what they are equal to. (It's equal to 70) Now that you have the answer for the two angles, now you can subtract 70 from 180 which gives you 110 degrees and that's your answer

Hope this helped you!

Answer:

x°+x°+40°=180°

2x°=180°-40°

2x°=140°

x°=140°

2

x°=70°

x°=70°

therefore,

x=180°-70°

x°=110°

Answer:

She spent 45 percent on fruit.

Answer:

1.26 but rounded to the nearest 10 would be 1.3 so 1.3 is your answer

Step-by-step explanation:

Answer:

$159.75

Step-by-step explanation:

137.45/252.60 + x = 1/3

252.60 + x = 412.35

x = 412.35 - 252.60

x = 159.75

Answer:

297.2

Step-by-step explanation:

549.8 ÷ 4 = 137.45

549.8 - 252.60 = 297.2

Answer:

x=4, y=-2

Step-by-step explanation:

-5x+8y=-36

5x+7y=6

eqn 1+ eqn 2 gives

15y=-30

divide both sides by 15

y=-2, put in eqn 2

5x+7(-2)=6

5x=20 divide both sides by 5

x=4

Answer:

7/10

I hope this helps a little bit.

Answer:

man that is d u m b there is a 99.0 that u will get a blue or what not just put any thing

Step-by-step explanation:

Answer:

La respuesta esta abajo

Step-by-step explanation:

Un coeficiente es un número o símbolo multiplicado por una variable o una cantidad desconocida en un término algebraico, polinomio, una serie o cualquier expresión.

a) 5x² + 4x + 2 = 0

El coeficiente de x² = 5, el coeficiente de x = 4

b) –x² + 3x + 4 = 0

El coeficiente de x² = -1, el coeficiente de x = 3

c) x² - 4x + √7 = 0

El coeficiente de x² = 1, el coeficiente de x = -4

d) x² + 8 = 0

El coeficiente de x² = 1, el coeficiente de x = 0

Answer:

0.32

.22

regular (capuccino is incorrect)

Step-by-step explanation:

in the mocha column 25 people prefer hot and 12 people prefer cold are equal to 37 people.  25+12=37

relative frequency of preferring cold is 12.  12÷37 = .32

In the hot column 11, 25, 19, 30 people are combined for total of 85 people who prefer hot coffee.  11+25+19+30=85

relative frequency of preferring a latte is 19: 19÷85 = .22

combine regular column for 17 ÷ 28 = .61

combine mocha column for 12÷40 = .30

combine latte column for 20÷39 = .51

combine cappucino column for 27÷57 = .47

The type of coffee that has the highest percentage of people who prefer it cold is regular.  (if you combine only the cold column you will end up with cappuccino which is wrong.)

Answer:

.

Step-by-step explanation:

If you need any explanation you can communicate with me

Answer:

$936.18

Byehave fun k bye

a^2 + b^2 =c^2

1^2 + 2^2 = 1+4 = 5

so no it doesn't make a right triangle

Answer:

hello your question is incomplete attached below is the missing patchwork quilt related to the question and the remaining part of the question.

a. what transformation maps square 1 onto square 2   b. what transformation maps square 2 onto square 3

answer :

a) Translation

b) Reflection

Step-by-step explanation:

There are about four (4 ) different types of transformation in mathematics and they are : Rotation, reflection, dilation and translation

a) The transformation that maps square 1 onto square 2 is : TRANSLATION

b) The transformation that maps square 2 onto square 3 is : REFLECTION

Answer:

x = 82°

Step-by-step explanation:

The triangle sum theorem states that the sum (total measure) of all angles in a triangle must add up to 180°.

Therefore:

60° + 38° + x° = 180°

98° + x° = 180°

98° – 98° + x° = 180° – 98°

x = 82°

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

[tex]m_1=\frac{7-0}{3-0}=\frac{7}{3}[/tex]

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

[tex]y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)[/tex]

The slope of the line joining E(7,0), and F(3,7). is:

[tex]m_1=\frac{7-0}{3-7}=-\frac{7}{4}[/tex]

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

[tex]y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)[/tex]

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7