Find the measure of angle A.
110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3

Find The Measure Of Angle A.110O 80O 105O 30O10014 + 6xA3x-3

Answers

Answer 1

Answer:

[tex]80^{\circ}[/tex]

Step-by-step explanation:

The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].

Angles in a triangle add to [tex]180^{\circ}[/tex].

[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]

So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].


Related Questions

Suppose $PABCD$ is a right square pyramid with apex $P$ and base $ABCD$. If $PBD$ is an equilateral triangle with side length 6, then what is the volume of $PABCD$

Answers

The volume of a right square pyramid PABCD is 50.91 cubic units

Let l be the side length of right squared pyramid and h be the height.

We know that the formula for the volume of the right squared pyramid.

V = a²h / 3

And the formula for the height of right squared pyramid.

h = (1/√2)a

Here, the side length (a) = 6 units

So, using above formula of height,

h = (1/√2) × 6

h = 6/√2

h = 3√2 units

Now using the formula for the volume of the right squared pyramid, the volume of pyramid PABCD would be,

V = (6² × 3√2) / 3

V = 6² × √2

V = 36√2

V = 50.91 cubic units

Therefore, the volume of PABCD is 50.91 cubic units

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Mr.Rosado is making a stop at his favorite ice cream shop.

He can choose on flavor of ice cream: chocolate, strawberry, vanilla or rocky road.

He can put his ice cream in a sugar cone, waffle cone or a cup.

What is the p(chocolate ice cream AND a waffle cone)?

Answers

Answer:

1/12

Step-by-step explanation:

Assuming his choices are equally likely (important: he's choosing randomly)...

Probability of selecting chocolate: 1/4  (1 of 4 equally likely choices)

Probability of selecting waffle cone:  1/3

Probability of selecting both:  1/4 x 1/3 = 1/12

Now, if you'll excuse me, I'm off to get ice cream!  :-)

Sal brought 2 dozen apples to a science club meeting. He divided the apples equally among the 8 people there. How many apples did he give each person?​

Answers

Division is the antithesis of multiplication. When you divide twelve into three equal groups, you get four in each group when you multiply three groups of four to create twelve.

How do you explain division?

The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.

The phrase to use is "divide in half," not "divide by half," when discussing splitting something into two equal portions. In mathematics, multiplying by two is equivalent to dividing by half. Additionally, see "multiply by two."

The French term "douzaine," which denotes a group of 12, is where the word "dozen" originates.

2 dozen apples equals 24, and 24 divided by 8 is 3.

Therefore, the answer is 3.

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NO LINKS OR I'LL REPORT
Find the area of the figure. Round your answer to the nearest tenth.
Be sure to sketch the polygon and the associated triangle.
Given: A regular hexagon with radius = 8

Answers

Answer:

17.3 if I am right mark me brainless pls

Building blocks are in the shape of a cube. The dimensions of the building blocks are based on the length of the packaging box, which is defined as [tex]\frac{1}{12} x^{2}[/tex] centimeters, where x is the length of the packaging box. What is the volume of a building block in terms of x?


ily whoever answers right <3

Answers

The volume of the building block in terms of x is V = x⁶/1728

What is volume?

Volume is the amount of space a substance occupies.

What is the volume of a building block in terms of x?

Since building blocks are in the shape of a cube. The dimensions of the building blocks are based on the length of the packaging box, which is defined as x²/12 centimeters, where x is the length of the packaging box.

Since the building blocks are in the shape of a cube, its volume is the volume of a cube.

What is the volume of a cube?

The volume of a cube is given by V = L³ where L = length of side of cube.

To find the volume of the building block, since the length of the building block is L = x²/12, then we find the volume of the building block by substituting L into V.

So, V = L³

V = (x²/12)³

= x⁶/12³

= x⁶/1728

So, the volume of the building block is V = x⁶/1728

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I’ll mark u as brainliest plz answer this !!!

Answers

Answer:

the answer is 20. 50% of 20 is 10 so if 10 preferred the one juice then there's 20 people total

Answer:20

Step-by-step explanation:

If x=all beings on Vreet

0.5x=10

x=10/0.5

x=20

Find the product of the factors 8.075*0.08

Answers

Answer: 8.075: gotta get somebody else to do this one...sorry. and 0.08 = 8

Step-by-step explanation:

Did this with a classmate couple months ago. Hope this helps. :)

pls help, 20 points!​

Answers

Answer:

13

Step-by-step explanation:

7x -4 = 87

7x = 87+4 = 91

x = 91/7 = 13

What is the result when the number 80 is decreased by 50%?

Answers

that would be 40 because 50% would take away half

New value =

80 - Percentage decrease =

80 - (50% × 80) =

80 - 50% × 80 =

(1 - 50%) × 80 =

(100% - 50%) × 80 =

50% × 80 =

50 ÷ 100 × 80 =

50 × 80 ÷ 100 =

4,000 ÷ 100 =

40

Atiker wants to uile a rectangular wall which reasures Ambuy 2.5 m,
achtile measures 16 cm by 10 cm,
How many tiles will he need for the wall?
Tik
2.5 m
10 cm
16 cm

Answers

Answer:

Step-by-step explanation:

There are 100 cm in 1 meter. the dimensions are 400cm by 250cm. depending on which way you turn them, they will fit better. if you take 400 divided by 16, you will have a row of 25 wide and if you divide 250 by 10, you will have a length of 25. you now have 25 rows of 25. 25x25 is 625 tiles.

Hope this helps

Simplify the following using law of indices. a) 12x⁷ ÷ 4x³
b) (2x)² × (2x)³ × (2x)⁵

Answers

Answer:

a) 3[tex]x^{4}[/tex]

b) 1024[tex]x^{10}[/tex]

Step-by-step explanation:

[tex]\frac{12x^{7} }{4x^{3} }[/tex]

[tex]\frac{3(4)xxxxxxx}{4xxx}[/tex]  We can cancel out a 4 and 3 x's.  That leaves

3xxxx

or 3[tex]x^{4}[/tex]

[tex](2x)^{2}[/tex] x [tex](2x)^{3}[/tex] x [tex](2x)^{5}[/tex]  can be written in expanded form

[(2)(2)xx] x [(2)(2)(2)xxx] x [(2)(2)(2)(2)(2)xxxxx]

(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)xxxxxxxxxx

1024[tex]x^{10}[/tex]

help please I don't know this one​

Answers

Answer:

21

Step-by-step explanation:

Can u please help...............

Answers

A graph of ΔABC with vertices A(0, 0), B (3, 3), and C (4, 0) and its image after a 90° rotation about the origin is shown in the image attached below.

What is a rotation?

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle ABC (∆ABC), the coordinates of the vertices of the image (∆A′B′C′) are as follows:

(x, y)                               →            (-y, x)

Ordered pair A  = (0, 0) → Ordered pair A' = (0, 0)

Ordered pair B = (3, 3) → Ordered pair B' = (-3, 3)

Ordered pair C = (4, 0) → Ordered pair C' = (0, 4)

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Find the area of the sector.
195°
9 m

Answers

Answer:B

Step-by-step explanation: Because it right

Factor this polynomial completely.
x2 + 3x - 18
A. (x - 2)(x+9)
B. (x+3)(x - 6)
C. (x - 3)(x + 6)
D. (x - 3)(x-6)

Answers

C.
Foil method reverses factor

HELP DUE IN 15 MINS!

x=??

Answers

Answer:

Step-by-step explanation:

Remark

The angle formed by the intersection of a tangent to a circle and an intersecting secant is 1/2 (Arc PS - arc PR)

PS = 208

PR = 74

Solution

x = 1/2 (208 - 74)

x = 1/2 (134)

x = 67

As the ball rolls downhill, its kinetic energy ___________

Maximum
Minimum

Answers

Answer:

Maximum

Step-by-step explanation:

Answer:

Maximum

Step-by-step explanation:

Lin is solving the inequality 15-x< 14. She knows the solution to the

equation 15 - x = 14 is x = 1

How can Lin determine whether x > 1 or x < 1 is the solution to the

inequality?

Answers

If Lin is solving the inequality [tex]15-x < 14[/tex] and she know the solution is x = 1 , then the solution of  inequality is [tex]x > 1[/tex] .

The inequality that Line is solving is [tex]15-x < 14[/tex] ,

the solution of the equation [tex]15-x = 14[/tex] is given as x = 1 ;

we have to find the value of x for which the given inequality expression is true ,

Case(i) , let us take [tex]x > 1[/tex] ,

So , putting x = 2 , in the inequality ,

we get ; [tex]15-2 < 14[/tex]

= 13 < 14 , that is TRUE .

Case(ii) , let us take [tex]x < 1[/tex] ,

So , putting x  = 0 in the inequality ,

we get ; [tex]15-0 < 14[/tex]

= 15 < 14 , that is FALSE .

Therefore , the solution of the inequality is x > 1 .

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if you can buy one bunch of cilantro for $1.60 how many can you buy with $38.40?​

Answers

Answer: 24 bunches of cilantro

Step-by-step explanation:

1. Set a proportion with the given information, which should be 1/1.60 = x/38.40.

2. Cross multiply. Now the equation should 1.60x = 38.40.

3. Divide by 1.60 to get x alone to find out how many bunches of cilantro you can buy with $38.40. This should give you x = 24 bunches of cilantro.

Answer:

24 bunches

Step-by-step explanation:

The person below is correct

please help solve this its for geometry

Answers

Answer:

Step-by-step explanation:

1.RS+ST=RT. so 9y+2+2y+7=15y-11

2.11y+9=15y-11

3.15y-11y=11+9

4.4y=20

finally we find the answer is y=5

Which fraction is equivalent to - 3/2?

3/-2

-(3/-2)

-3/-2

-(-3/2)

Answers

Answer: -(-3/2 is equivalent also

Step-by-step explanation:

The reason why is because you take it out of the parentheses you will still have a negative fraction

For each equation determine whether it has no solutions, exactly one solution, or is true

for all values of x (and has infinitely many solutions). If an equation has one solution, solve

to find the value of x that makes the statement true.

a. 6r+8 = 7x + 13

b6r + 8 = 2(3x + 4)

c. 6r+8 = 6r+ 13

Answers

For the given equations , the solutions are as follows :

(a) the equation [tex]6x + 8 = 7x + 13[/tex] has exactly one solution , and the solution is  .

(b) the equation [tex]6x + 8 = 2(3x + 4)[/tex] has Infinitely Many Solutions .

(c) the equation [tex]6x + 8 = 6x + 13[/tex] has No Solution .

Equation (a) ;

the equation is given as [tex]6x + 8 = 7x + 13[/tex] , we solve the equation further ,

we get ;

[tex]7x - 6x = 13 - 8[/tex] ;

[tex]x = 5[/tex] ;

So , the equation has exactly one solution and the solution is [tex]x = 5[/tex] .

Equation (b) ;

the equation is given as [tex]6x + 8 = 2(3x + 4)[/tex] , we solve equation further ,

we get ;

[tex]6x + 8 = 6x + 8[/tex] ;

On solving further ,

we have ;

[tex]8 = 8[/tex] ;

So , the equation has infinitely many solutions .

Equation (c) ;

the equation is given as [tex]6x + 8 = 6x + 13[/tex] , we solve equation further ,

we get ;

[tex]8 = 13[/tex] ;

and we know that [tex]8\neq 3[/tex] ,

So , the equation have No Solution .

The given question is incomplete , the complete question is

For each equation determine whether it has no solutions, exactly one solution, or is true . for all values of x (and has infinitely many solutions). If an equation has one solution, solve to find the value of x that makes the statement true.

(a) 6x + 8 = 7x + 13

(b) 6x + 8 = 2(3x + 4)

(c) 6x + 8 = 6x + 13

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150 adults complete a survey.
80 are women.
Write the ratio
men women
in its simplest form.​

Answers

Answer:

The number of men to number of women be 7 : 8 .

GIVEN: GH (congruent JH and FH (congruent) HI

PROVE: FG (congruent) IJ

Answers

Hence proved that FG = IJ with CPCT theorem for ΔGHF ≅ ΔJHI by SAS Congruency rule.

What is Congruency of triangles?

Triangle congruence: Two triangles are deemed to be congruent if all three of their corresponding sides and angles have the same magnitude. Slides, rotations, flips, and turns can be used to make these triangles appear identical. They would be in alignment if they were moved. Congruence is represented by the letter "≅".

When two figures are similar to one another in terms of their size and shape, this is what mathematicians mean by congruence. It can be demonstrated that two triangles are congruent using four congruence rules in general. Finding all six dimensions is necessary, though.

Given that,

GH ≅ JH

FH ≅ HI

And,

∠GHF = ∠JHI

Therefore,

ΔGHF ≅ ΔJHI (SAS Congruency)

∴ FG = IJ (CPCT theorem)

Hence proved that FG = IJ with CPCT theorem for ΔGHF ≅ ΔJHI by SAS Congruency rule.

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`y=7/(1,000)-(9x)/8` is this proportional or nonproportional

Answers

Proportional because it has a slope and having a slope represents a directly proportional relationship.

factorise fully -b -20

Answers

Answer:

−(b+20)

Step-by-step explanation:

The only thing we could possibly do is factor out the negative since there are no factors no squared numbers.

PLS MARK BRAINLIEST

Colleen and Amy go shopping. The function below represents how much money each girl spent based on the number of hours they were shopping. If Colleen and Amy each go shopping for 3 hours, how much money did they spend together?
p(x)3x^4=x^4-3x^2+5
$32
$86
$248
$302

Answers

Answer:

$302

Step-by-step explanation:

p(x) 3x^4 = x^4-3x^2+5

We put 3 in for x and solve

3(3)^4 = 3^4 -3(3)^2 + 5

3(81) = 81 -3(9) + 5

243 = 81 - 27 + 5

243 = 59

Then we add 243 with 59 and get

$243 + $59 = $302

So, they spend together $302

If you can, please give me a Brainliest; thank you!

Tammy already has $565 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account. Let w represent the number of weeks.

Answers

Answer:

Since she already has $565, her goal is $665.

5 × 20 = 100

w = 20 weeks

Two ropes are used to stake a new tree. If they are each tied 3 feet up from the ground and 4 feet from the base of the tree. How many feet of rope do you need total?

Answers

Answer:

7

Step-by-step explanation:

PLEASE HELP ME ASAP!!! WILL MAKE YOU BRAINLIEST!!!!

Which of the following postulates or properties of spherical geometry are true?

A) The sum of the measures of a triangle is 180.
B) No two lines are parallel.
C) Through any two points there is exactly one line.
D) Two lines intersect in exactly one point.

Answers

Answer:A

Step-by-step explanation:

Taliban

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