1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cupoosta [38]
3 years ago
5

Question 2 help please

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

  • In any triangle, the sum of the measures of its interior angle is 180°
  • In the isosceles triangle, the two base angles are equal in measures

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

You might be interested in
A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly guesses an answ
zimovet [89]

Answer:

0.900

Step-by-step explanation:

hope it helps u

need more answers?

just follow me

3 0
3 years ago
a baseball diamond is a 90ft square. the mound is 60.5 ft from home plate. how far is it from the mound to first base.
vodka [1.7K]
X=63.7 Feet
Hope this helps.
3 0
3 years ago
Which function is equivalent to the inverse of y=sec(x)
kipiarov [429]
From the identity:

sec(x)= \frac{1}{cos(x)}


f(x)=sec(x)= \frac{1}{cos(x)}

the inverse of f is g such that f(g(x))=x,

we must find g(x), such that \frac{1}{cos[g(x)]}=x

thus, cos[g(x)]= \frac{1}{x}

g(x)=cos^{-1} (\frac{1}{x})


Answer: b. g(x)=cos^-1(1/x)   
6 0
3 years ago
What is -7/12 + 3/8?
inna [77]

Answer:

-\frac{5}{24}

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is th GCF of 21 and 18
ZanzabumX [31]

Answer:

The answer is 3.

Explanation:

Factors of 18:

1, 2, 3, 6, 9, 18.

Factors of 21:

1, 3, 7.

The highest number that both sets contain is 3, so the GCF will be 3.


5 0
3 years ago
Read 2 more answers
Other questions:
  • If the slope of a line is 1/2 and the y-intercept is 6, what is the x-intercept of the same line?
    12·1 answer
  • What is your favorite color? A larger survey of countries, including the United States, China, Russia, France, Turkey, Kenya, an
    9·1 answer
  • Can you write an equivalent fraction for 5/9 and 1/10 using the least common denominator?<br>​
    5·1 answer
  • Due Wed 10/21/2020 11:30 po
    15·1 answer
  • Which is greater 6 hundred thousands,47 tens or 60 ten thousands, 4 hundreds
    9·1 answer
  • A chef bought 4 1/6 ponds of carrots. If he later bought another 2 4/7 pounds of carrots, what is the total weight of carrots he
    9·1 answer
  • Surface Area is [sa1] of the figure.
    12·2 answers
  • If 13 out of 20 students are girls, what is the ratio<br> of girls to boys?
    14·1 answer
  • How many 250ml glasses can be filled with 2l of water?
    9·1 answer
  • Find the value for k for which y= 2x+k is a tangent to the curve y=2x^2-3 and determine the point of intersection
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!