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max2010maxim [7]
3 years ago
12

The measure of the obtuse angle in the isosceles triangle is two and a half times the measure of one base angle. Write and solve

a system of linear equations to find the measures of all the angles.
Mathematics
1 answer:
natta225 [31]3 years ago
8 0
Let the base angle be x. If the obtuse angle is two and a half times the base angle, it will be 2.5x. In a triangle, all three angles will add up to 180. The third angle, the other base angle will be equal to x. So the equation will be:

x + x + 2.5x = 180
2x + 2.5x = 180
4.5x = 180
x = 40

If x = 40, then 2.5x = 100

You might be interested in
In CAT entrance examination paper there are 3 sections, each containing 5 questions. A candidate has to solve 5,
mamaluj [8]
The best and most correct answer providedfrom your question about the entrance examination paper is the second option which is 2,250. The problem can be solved by:

3-1-1 : 5c3*5c1*5c1 *3!/2! = 750 
<span>2-2-1 : 5c2*5c2*5c1 *3!/2! = 1500
</span>
Adding the two answers:

750 + 1500 = 2250

I hope it has come to your help.


4 0
3 years ago
A farmer has one square mile land . If he divides his land into square fields that are 1/4 mile long and 1/4 mile wide,how many
White raven [17]

A square field that is 1/4 mile long and 1/4 mile wide has area

\dfrac{1}{4} \cdot \dfrac{1}{4} = \dfrac{1}{16}

So, to know how many of these fields fit in the biggest field, you have to divide their areas:

\dfrac{1}{\frac{1}{16}} = 16

So, if the farmer divides his land into square fields that are 1/4 mile long and 1/4 mile wide, he will have 16 of these smaller fields.

8 0
3 years ago
HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!
Mumz [18]

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

\dfrac{5}{1}=\dfrac{1+x}{1}

5=1+x           <em>subtract 1 from both sides</em>

4=x\to x=4

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

\dfrac{VU}{VM}=\dfrac{VT}{VN}

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

3 0
3 years ago
Which of the following is equal to the expression (8x)^-2/3 (27x)¯1/3
LiRa [457]

The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x

<h3>How to evaluate the expression?</h3>

The expression is given as:

(8x)^-2/3 * (27x)^-1/3

Evaluate the exponent 8^-2/3

(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3

Evaluate the exponent (27x)^-1/3

(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3

Multiply 1/4 and 1/3

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3

Evaluate the exponent

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)

This gives

(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)

So, we have

(8x)^-2/3 * (27x)^-1/3 = 1/12x

Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x

Read more about equivalent expression at

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
Lisa treated her sisters to lunch their lunch cost $75 and the sales tax was 8% if Lisa left
Molodets [167]

Answer:

djdjdjfjfjf

Step-by-step explanation:

kfkfkffikf

5 0
2 years ago
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