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3 years ago

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The measure of one angle of a triangle is 55 degrees. The measure of the third angle is 20 degrees more than twice the second an

gle. All three angles of a triangle must add to 180 degrees. Find the measures of the second and third angels.

1 answer:

sesenic [268]3 years ago

7 0

If 1 angle is 55 and another is 55 add 20 (75) if you added them together it would be 130 so do 180 - 130 hope this helped!!

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Please answer the question now in two minutes

oksian1 [2.3K]

Answer:

Coordinates of point P is $(-14,3)$ .

Step-by-step explanation:

Given that mid point of line segment $\overline {PQ}$ is at <em>M(-9, 8.5).</em>

Q is at <em>(-4, 14)</em>.

Let coordinate of P be $(x,y)$ .

Using the ratio, we can say the following:

<em>The coordinates of mid point</em> $(X,Y)$ of a line with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given as:

$X=\dfrac{(x_1+ x_2)}{2}$

$Y=\dfrac{(y_1+ y_2)}{2}$

Using the formula for above given dimensions:

$-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14$

$8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3$

So, the <em>coordinates of point P are</em> $(-14,3)$ .

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3 years ago

3[–x + (2 x + 1)] = x – 1

photoshop1234 [79]

Answer:

<h3>x = -2</h3>

Step-by-step explanation:

$3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\$

Collect like terms

$3x -x =-1-3$

Add similar elements

$2x = -4\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{-4}{2}\\\\Simplify\\\\x = -2$

3 0

3 years ago

After one hour, the hare had finished 2/3 of a 100-yard race. In that same time, the tortoise had finished 42 3/4 yards. How muc

andriy [413]

Answer:

23 11/12 yards or 23.9166 yards

Step-by-step explanation:

2/3 of 100 yard race is equivalent to 66 2/3 yards. Tge difference between the above and 42 3/4 yards covered by tortoise will be

66 2/3- 42 3/4= 23 11/12 yards or 23.91666 yards

5 0

3 years ago

The “new look” of the cereal boxes has a length that is three more than two times the width, x, and a height that is one more th

jok3333 [9.3K]

The first option is correct. For the following question, the simplified expression for the volume is 8x3 + 14x2 + 3x.

5 0

2 years ago

Read 2 more answers

1. Jack and Jill purchased a $125,000 house making a 20% down payment and paying the closing

kherson [118]

Answer:

The month payment amount is $897.589

Interest amount is $61,566

Step-by-step explanation:

Given as :

The price of the house = $125,000

The down payment amount for house = 20% of total price

i.e The down payment amount for house = 20% × $125,000

Or, The down payment amount for house = $\dfrac{20}{100}$ × $125,000

Or, The down payment amount for house = $25,000

Now, Balance amount = total price - down payment

Or, Balance amount = $125,000 - $25,000

Or, Balance amount = $100,000

So, The balance amount is bring finance

The finance principal amount = p = $100,000

The rate of interest applied = r = 3.25%

The time period of mortgage = t = 15 years = 15 × 12 = 180 months

Let The Amount of mortgage after 15 years = $A

<u>From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $100,000 × $(1+\dfrac{\textrm 3.25}{100})^{\textrm 15}$

Or, A = $100,000 × $(1.0325)^{15}$

Or, A = $100,000 × 1.61566

Or, A = $161,566

So,The Amount of mortgage after 15 years = $161,566

Interest applied = Amount - principal

Or, I = $161,566 - $100,000

∴ Interest = $61,566

<u>Again</u>

The month payment amount = $\dfrac{\textrm amount after 15 years}{number of months of mortgage}$

i.e The month payment amount = $\dfrac{161566}{180}$

Or, The month payment amount = $897.589

Hence The month payment amount is $897.589 and interest amount is $61,566 . Answer

6 0

3 years ago