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3 years ago

9x ≥117 which numbers below belong to the solution set of the inequality

Mathematics

1 answer:

lakkis [162]3 years ago

7 0

9 x ≥ 117

Divide both sides by 9 :

9 x / 9 ≥ 117 / 9

x = 117 / 9

x ≥ 13

hope this helps!

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Write the equation of the line, in slope-intercept form, with the following information: slope: 1/3 y-intercept: (0, 2)

sp2606 [1]

Answer:

y=1/3x+2

Step-by-step explanation:

to put it in y=mx+b slope is m and b is the y intercept

6 0

3 years ago

Solve for a and b. please help.

Pachacha [2.7K]

Answer:

a= 22.5

b= 37.5

Step-by-step explanation:

In △BCD:

Applying Pythagoras' Theorem,

a² +30²= b²

a² +900= b² -----(1)

In △ABC:

Applying Pythagoras' Theorem,

b² +50²= (40 +a)² -----(2)

Substitute (1) into (2):

a² +900 +50²= 40² +2(40)(a) +a² (expand bracket)

a² +900 +2500= 1600 +80a +a²

a² +3400= a² +80a +1600 (simplify)

a² +3400 -a² -80a -1600= 0 (bring everything to 1 side)

-80a +1800= 0

80a= 1800 (+80 on both sides)

a= 1800 ÷80

a= 22.5

Subst. a= 22.5 into (1):

22.5² +900= b²

b²= 506.25 +900

b²= 1406.25

b= √1406.25 (square root both sides)

b= 37.5 (reject negative value since b is a length)

☆(a +b)²= a² +2ab +b²

3 0

3 years ago

Please help I an desperate

kherson [118]

Answer:

Step-by-step explanation:

Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.

This problem can be explained with sin law,

[Assume KL = 4cm]

(sin15)/4 = (sinL)/11

L = 45.4° or 135° (3 sig. fig.)

Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.

8 0

3 years ago

Which of the following is a characteristic of the circumcenter of a triangle

jolli1 [7]

You have not provided the options, therefore, I can not provide an exact answer.

However, I will help you with the concept

In a triangle, the circumcenter is defined as the point of intersection of the three perpendicular bisectors in the triangle

The circumcenter is characterized by the following:

1- The circumcenter is the center point of the circumcircle

2- The circumcenter is equidistant from the three vertices of the triangle

3- Position of circumcenter:

in acute triangle ........> it lies inside the triangle

in right-angles triangle .......> it lies at the midpoint of the hypotenuse

in obtuse triangle ..........> it lies outside the triangle

Hope this helps :)

8 0

4 years ago

State if triangle is acute obtuse or right

AnnyKZ [126]

Answer:

The triangle is acute

3 0

3 years ago