In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°

Answer:

Step-by-step explanation:

c

Answer:

Step-by-step explanation:

The key here is to find out how much he makes per hour. We can find that out using the info given.

286 = 13x so

x = 22 dollars per hour. For 7 hours of work then,

7(22) = $154

Answer:

C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).

Step-by-step explanation:

The axis of symmetry is x = − b/2a

= -(-3) / 2(-1)

= 3/(-2)

= -1.5

the vertex => x = -1.5

y= -(-1.5)²-3(-1.5)+6 =

-2.25 +4.5+6= 8.25

Answer:

{(2, 3), (3, 4), (6, 2), (7, 3)}

Step-by-step explanation:

{(2, 3), (3, 4), (6, 2), (7, 3)}

this solution has different domain values : 2, 3, 6, 7

Answer:

Step-by-step explanation:

Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:

[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.

[tex]8.5=a(1)^2+b(1)+5[/tex] and

8.5 = a + b + 5 and

3.5 = a + b Hold that thought while we come up with the second equation for this system.

[tex]2.5=a(-1)^2+b(-1)+5[/tex] and

2.5 = a - b + 5 and

-2.5 = a - b  Now solve this system using the method of eliination:

  a  +  b  =  3.5

+ a  -  b  = -2.5

so

2a = 1 and a = 1/2 Now we can plug that in and solve for b:

a + b = 3.5 becomes

1/2 + b = 3.5 so

b = 3 and the equation is

[tex]y=\frac{1}{2}x^2+3x+5[/tex]

Answer:

just look at the constant terms...

A: 5

B: 7

C: -5

1) 11-6 = 5 thus answer A

2) -3 -2 = -5 thus answer C

3) -5 - (12) = -5 + 12 = 7 thus answer B

Step-by-step explanation:

Answer:

$290,080

Step-by-step explanation:

Given:

Average price = 259,000

Average monthly rent = 2500

Monthly rent of home = $2800

Gross Rent Multiplier = price per monthly rent

GRM = Price / monthly rent

The GRM = 259000 ÷ 2500

= $103.60

The price = GRM * Monthly rent

Price = $103.60 * $2800

Price = $290,080

Answer:

The number of units sell is 2.

Step-by-step explanation:

selling cost of one unit = $ 0.9

Monthly expense = $ 0.9

Manufacturing cost = $ 0.3

Let the number of unit sell is x.

So,

0.9 x = 0.9 + 0.3 x

0.6 x = 0.9

x = 1.5

So, the number of units sell to get no loss is 2.

Answer:

A.     Six Points

Step-by-step explanation:

Answer:

y = 4x - 9

Step-by-step explanation:

y = 4x + b

-1 = 4(2) + b

-1 = 8 + b

-9 = b

Answer:

lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

a = 11, b = 6

Step-by-step explanation:

Given

[tex]\frac{5+2\sqrt{3} }{7+4\sqrt{3} }[/tex]

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4[tex]\sqrt{3}[/tex] is 7 - 4[tex]\sqrt{3}[/tex]

= [tex]\frac{(5+2\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3} }[/tex] ← expand numerator/ denominator using FOIL

= [tex]\frac{35-20\sqrt{3}+14\sqrt{3}-24 }{49-28\sqrt{3}+28\sqrt{3}-48 }[/tex]

= [tex]\frac{11-6\sqrt{3} }{1}[/tex]

= 11 - 6[tex]\sqrt{3}[/tex]

with a = 11 and b = 6

Answer:

k = 3

Step-by-step explanation:

Parent function is f(x) = [tex]0.25^{x}[/tex]

As shown in the graph, function 'f' has been shifted 3 units upwards to form an image function 'g'.

If the given function is shifted 3 units upwards, equation of the new function will be,

g(x) = [tex]0.25^{x}+3[/tex]

Therefore, the value of k will be,

k = 3

Answer:

I think it's 34

Step-by-step explanation:

69/2 = 34.5 = 34

Answer:

0

Step-by-step explanation:

f(x) = 2/5(6 - x)²

f(6) = 2/5[6 - (6)]²

f(6) = 2/5(0)²

f(6) = 0

Answer:

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

Answer:

Step-by-step explanation:

z(lower) = (15-15)/4 = 0

z(upper) = (19-15)/4= 1

z  at  0 = .5

z at  1 = 0.841344746

(look these up in a Z table)

probability "between" = 0.841344746 - .5 = 0.3841344746

0.384 is the probability that a fish is caught in spring run between 15cm and 19cm

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that  fish commission states that the mean length of all fish in spring run is mean =15cm

the standard deviation of variance=4cm,

We need to find  the probability that a fish is caught in spring run :between 15cm and 19cm

The z score formula is z=x-µ/σ

z(lower) = (15-15)/4 = 0

z(upper) = (19-15)/4= 1

From the table of z values we get

z  at  0 is 0.5

z at  1 is 0.841344746

probability between 0.841344746 -0 .5 is 0.3841344746

Hence, 0.384 is the probability that a fish is caught in spring run between 15cm and 19cm

To learn more on Statistics click:

https://brainly.com/question/29093686

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Answer:

x = 9

Step-by-step explanation:

square each side first to get:

8x - 8 = 64

8x = 72

x = 9

Answer:

2:7

Step-by-step explanation:

ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.

Answer:

2 : 7

Step-by-step explanation:

7 days = 1 week

y days = 2 weeks

[tex]\frac{1}{7} :\frac{2}{y}[/tex]

1 × y = 2 × 7

y = 14

4 days : 14 days

4 = 2 × 2

14 = 2 × 7

GCF = 2

4 ÷ 2 = 2

14 ÷ 2 = 7

2 : 7

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

The equation of a line is:

[tex]y=-\dfrac{5}{7}x+2[/tex]

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=-\dfrac{5}{7}x+2[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{5}{7}[/tex]

We know that the product of slopes of two perpendicular lines is always -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{5}{7}\times m_2=-1[/tex]

[tex]m_2=\dfrac{7}{5}[/tex]

Slope of the required line is [tex]\dfrac{7}{5}[/tex] and it passes through the point (-5,-3). So, the equation of the line is:

[tex]y-y_1=m_2(x-x_1)[/tex]

[tex]y-(-3)=\dfrac{7}{5}(x-(-5))[/tex]

[tex]y+3=\dfrac{7}{5}(x+5)[/tex]

Using distributive property, we get

[tex]y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)[/tex]

[tex]y+3=\dfrac{7}{5}x+7[/tex]

[tex]y=\dfrac{7}{5}x+7-3[/tex]

[tex]y=\dfrac{7}{5}x+4[/tex]

Therefore, the equation of the line is [tex]y=\dfrac{7}{5}x+4[/tex]. Hence, option A is correct.

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph is not given.

The general step to calculate slope and y intercept is as follows;

Assume any two points on the graph are:

[tex](x_1,y_1) = (5,1)[/tex]

[tex](x_2,y_2) = (1,4)[/tex]

The slope (m) is:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{4 -1}{1-5}[/tex]

[tex]m = \frac{3}{-4}[/tex]

[tex]m = -\frac{3}{4}[/tex]

The equation of the graph is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -\frac{3}{4}(x - 5) + 1[/tex]

[tex]y = -\frac{3}{4}x +\frac{15}{4} + 1[/tex]

[tex]y = -\frac{3}{4}x +\frac{15+4}{4}[/tex]

[tex]y = -\frac{3}{4}x +\frac{19}{4}[/tex]

To calculate the y intercept; set [tex]x = 0[/tex]

[tex]y = -\frac{3}{4}*0 +\frac{19}{4}[/tex]

[tex]y = \frac{19}{4}[/tex] ---- y intercept

Answer:

a) x = 8.29 cm

D) V = 1125.27 cm³

Step-by-step explanation:

a) We can solve the equation as follows:

[tex] 2x + 5x - 58 = 0 [/tex]

[tex] 2x + 5x = 58 [/tex]

[tex] x = \frac{58}{7} = 8.29 [/tex]

D) The volume of the box is given by:

[tex] V = l*w*h [/tex]

Where:

l: is the length

w: is the width

h: is the height

The length of the rectangular box is:

[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]

The width is x = 8.29 cm.

And the height is:

[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]

Hence, the volume is:

[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]

I hope it helps you!        

Answer:

ok so we just substate the number in so

6+9/6

6+1 1/3 = 7 1/3

so for part a the answer is 7.33

for part b

2+9/2

3+4 1/2 =7 1/2

so the answer is 7.5

A:7.33

B:7.5

Hope This Helps!!!

Answer:

A, 2

B, 10

C, undefined

Step-by-step explanation:

Just did the assignment  E2021

====================================================

Work Shown:

tan(angle) = opposite/adjacent

tan(C) = AB/BC

tan(theta) = x/BC

tan(23) = (8.1)/BC

BC*tan(23) = 8.1

BC = (8.1)/tan(23)

BC =  19.0824041631723

BC = 19.1

In this case, rounding to 3 sig figs means we round to the nearest tenth.

Make sure your calculator is in degree mode.

Answer:

my previous account deleted...how r u sadie??

Answer:

-3

Step-by-step explanation:

You need to substract 6 to get the next term.

I HOPE THIS HELPS :)

Answer:

-3

Step-by-step explanation:

21 - 6 = 15

15 - 6 = 9

9 - 6 = 3

3 - 6 = -3