Find the measure of angle x in the figure

The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given isosceles triangle.

The angles opposite to equal sides in the isosceles triangle will be the same.

Thus, m∠P -= m∠Q

5x + 8 = 9x - 40

9x - 5x = 8 + 40

4x = 48

x = 12°

Thus, m∠Q = 9(12) - 40 = 68°.

Hence "The angles opposite to equal sides in the isosceles triangle will be the same thus the measure of angle Q will be 68°".

For more information about triangles,

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Here's the perfect answer.

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Answer:80

Step-by-step explanation:

Answer:

2) Both are decreasing

5) Function I has a greater y-intercept than function II

Step-by-step explanation:

     [] They both have negative unit rates / slope (m is the slope in y = mx + b)

     [] -2 is larger than -6, so function I has a greater y-intercept than function II (b is the slope in y = mx + b)

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

1580÷100×60

=948

60%=948

60-20

=40

1580÷100×40

=632

948-632

=316

Answer:

y=1/3x-5

Step-by-step explanation:

when it is perpendicular you just flip the -3x and he its reciprocal  

Answer:

The measure of ∠A = 107.5°

Step-by-step explanation:

Given that

ABCD is a kite such that

AB = BC and AD = DC

Join A and C

Since AB = BC

→ ∠BAC = ∠BCA

Since , the angles opposite to equal sides are equal.

Let ∠BAC = ∠BCA = x°

and

Since AD = DC

→ ∠CAD = ∠ACD

Since , the angles opposite to equal sides are equal.

Let ∠CAD = ∠ACD = y°

Now

In ∆ ADC ,

∠ADC + ∠CAD + ∠ACD = 180°

Since , the sum of the all angles in a triangle is 180°

⇛ 30° + y°+ y° = 180°

⇛ 30°+2y° = 180°

⇛ 2y° = 180°-30°

⇛ 2y° = 150°

⇛ y° = 150°/2

⇛ y° = 75°

Therefore, ∠CAD = ∠ACD = 75°

and

In ∆ ABC,

∠ ABC + ∠BAC + ∠BCA = 180°

Since , the sum of the all angles in a triangle is 180°

⇛ 115° + x° + x° = 180°

⇛ 115°+2x° = 180°

⇛ 2x° = 180°-115°

⇛ 2x° = 65°

⇛ x° = 65°/2

⇛ x° = 32.5°

Therefore, ∠BAC = ∠BCA = 32.5°

Now, ∠ A = ∠BAC + ∠CAD

⇛ ∠A = 32.5° + 75°

⇛ ∠A = 107.5°

Therefore, ∠A = 107.5°

Answer:-

Read more:

Similar Questions

ABCD is a kite with AD=AB A= 116° B=2x° D=(5x-147)° Find the size of the smallest angle of the kite.

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Answer:

this joke is getting old lol

Step-by-step explanation:

Answer:

126°

Step-by-step explanation:

180-54 = 126

Supplementary angles form 180°. Let's take the missing angle as 'x'.

54° + x° = 180°

x = 180° - 54°

x = 126°

=》 Angle LJK = 126°

______

RainbowSalt2222 ☔

Answer:

the correct answer is -5 since y=7

Answer:

x = 34

Step-by-step explanation:

Just add 14 on both sides of the equal sign to get x = 34.

Hope this helps :)

Answer:

x = 34

Step-by-step explanation:

hope it helps a lot

that's the final answer

Answer: like 36 i think

Step-by-step explanation:

Answer:

14168

Step-by-step explanation: just multiple

Answer:

$43.75

Step-by-step explanation:

125 x .35 = $43.75

Answer:

xx

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

it's where you start. where your going to start you slope on the graph which means that the x would be 0

As per the question there are four congruent tringles and these congruency is that all sides are equal in length and size.

Learn more about the PROVING TRIANGLES CONGRUENT: ASA AAS AND HL.

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Answer:

so67 =9

Step-by-step explanation:

Answer:

1.) y=3x-7

2.) 2=5x-y

3.) y=-4-2x

4.) 1=3/4x+y

5.) y=4x+8

6.) 9=3/4x+8

7.) 9=y+x

8.) y=-2/6x+2

9.) 5=-2/3x+y

Step-by-step explanation:

Standard form is Ax=By=C and Slope form is y-mx+b

for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:

3x-y=7

+7 -7

3x-7=y

then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8

Answer:

A ≈ 5.8 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4.6 and h = 2.5 , then

A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )

Answer:

Step-by-step explanation:

Step-by-step explanation:

a general line equation is

y = ax + b

the slope of a line is always the factor of x (a).

it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, here it is -5/4.

it says, when x changes by +4, then y changes by -5.

a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.

and we get it by using the point coordinates in the equation and then solve for b :

1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b

b = -4

so, the full equation of the parallel line is

y = -5/4x - 4

Answer:

523.5miles

Step-by-step explanation:

Marcus traveled 65mph for 3.5hrs and 74mph for 4hrs. To find his total traveled distance we need to multiply the mph by the number of hours.

65x3.5=227.5mi

74x4=296mi

Add the number of miles together.

227.5+296=523.5miles

Hope this helps :)

Answer:

850 this what I think it is

Step-by-step explanation:

that's what I think I don't know if that's the right answer

Answer:

8.5

Step-by-step explanation:

divide 10 by 10 to get to 1

divide 85 by 10 and u get 8.5

1=8.5

Answer:

(3x+2) (x+5)

Step-by-step explanation:

3x²+17x+10

SPLITTING OF MIDDLE TERM

3x²+15x+2x+10

COMMON FACTOR FROM PAIRS

3x(x+5) + 2(x+5)

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

Answer:

693

Step-by-step explanation:

450 + 85= 535 then you divide 535 by .65 = 823.08 ~ 824 then divide 85 by .65= ~131 then subtract 131 from 824=693 treats in order to make a profit of ~450.00

Answer:

a. RS= 3x + 1 =64

group like teams

3x =64 - 1

3x=63

divide both sides by 3

Ans: RS= 21

b. ST= 2x - 2 =64

group like teams

2x= 64-2

2x=62

divide both sides by 2

Ans:ST=31

∆ RS= 21 and ST=31

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

The TVM solver is a tool found in graphing calculators, that solve Time

Value of Money problems.

Reasons:

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t} }{\left(1+\dfrac{r}{n} \right)^{n \times t} - 1}}[/tex]

Which gives;

[tex]P = \mathbf{\displaystyle \frac{M\cdot \left(\left(1+\dfrac{r}{n} \right)^{n \times t} - 1 \right) }{\left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t}}}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

[tex]\displaystyle 0.003 = \frac{I}{12}[/tex]

I = 0.003 × 12 = 0.036 = 3.6%

N = n × t = 24

[tex]P = \displaystyle \frac{(415)\cdot \left(\left(1+\dfrac{I}{12} \right)^{24} - 1 \right) }{\left(\dfrac{I}{12} \right) \cdot \left(1+\dfrac{I}{12} \right)^{24}} = \mathbf{\displaystyle \frac{(415)\cdot \left(\left(1+0.003\right)^{24} - 1 \right) }{\left(0.003\right) \cdot \left(1+0.003 \right)^{24}}} = ?[/tex]

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression[tex]\displaystyle \frac{(\$415)\cdot (1 + 0.003)^{24} - 1}{(0.003) \cdot (1 + 0.003)^{24}}[/tex], when plugged into the TVM solver of a calculator is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

Learn more about Present Value Solver here:

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Answer:

Step-by-step explanation:

Perimeter = 3v + 2 + 3v + 2 + 2v + 8v + 4

= 8v + 4...ans