All categories

3 years ago

The measure of a base isosceles triangle is 43? what is the measure of the vertex angle

Mathematics

1 answer:

Anestetic [448]3 years ago

4 0

Answer:

The vertex angle is 94 degrees

Step-by-step explanation:

Let the vertex angle be x

Mathematically, the base angles of an isosceles triangle are the same

So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too

Mathematically, the sum of angles in a triangle is 180 degrees

Thus;

43 + 43 + x = 180

x = 180-86

x = 94 degrees

You might be interested in

Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below: f(x)=2x^2-10 g(x)=x+9

steposvetlana [31]

Answer:

$\large\boxed{(f+g)(5)=54}$

Step-by-step explanation:

$f(x)=2x^2-10,\ g(x)=x+9\\\\(f+g)(x)=f(x)+g(x)\\\\\text{Substitute:}\\\\(f+g)(x)=(2x^2-10)+(x+9)=2x^2-10+x+9=2x^2+x+(-10+9)\\\\(f+g)(x)=2x^2+x-1\\\\(f+g)(x)(5)\to\text{put x = 5 to the equation of the function:}\\\\(f+g)(5)=2(5^2)+5-1=2(25)+5-1=50+5-1=54$

8 0

2 years ago

Luke’s that seven pieces of wood on top of one another if each piece was 4/8 of a foot tall how tall was his pile

Ludmilka [50]

Answer:

6 1/2 feet or 78 inches tall

Step-by-step explanation:

You have to multiply 4/8 by 7/1

First you multiply the nominators: 4 × 7 = 28

Then you multiply the denominators: 8 × 1 = 8

So the fraction would be 28/8 and it simplifies to 7/2

You can turn it into an improper fraction by seeing how many times 2 will go into seven evenly, which would be 6 times with 1 half left over

Therefore it would be 6 1/2 feet or 78 inches tall

8 0

2 years ago

Instant Oats cost $4.89 for 10 servings. What is the cost per 1 serving

tester [92]

Look at the attached picture⤴

Hope it will help u...

8 0

3 years ago

Translate to an algebraic statement. "The quotient of twice a number and 7 is 20."

Genrish500 [490]

Answer:

Translation: 2x/7 = 20

Step-by-step explanation:

When we listen to the word "quotient", it means the solution to a division problem.
An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement.
The number "7" is in the denominator because it came after the 2x in the statement.
The word "is" represents an equal sign.
The solution to the division problem (quotient) is 20.

If we put these clues together, we get 2x/7 = 20 as our translated equation.

Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. 

$BrainiacUser1357$