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
Black_prince [1.1K]
3 years ago
6

Find the value of a. A: 15, B: 19

Mathematics
2 answers:
dimaraw [331]3 years ago
8 0

Answer:

a = 15

Step-by-step explanation:

=> 6a + 10 = 3a + 55 (Vertically Opposite Angles are congruent)

Combining like terms

=> 6a - 3a = 55 - 10

=> 3a = 45

Dividing both sides by 3

=> a = 15

loris [4]3 years ago
7 0

Answer:

A: 15

Step-by-step explanation:

The angles are opposite to each other.

Vertically opposite angles are equal in size.

Put up an equation and solve for a.

6a + 10 = 3a + 55

Subtract 3a and 10 on both sides.

6a - 3a = 55 - 10

Combining like terms.

3a = 45

Divide both sides by 3.

a = 45/3

a = 15

The value of a is 15.

You might be interested in
a rectangular patio has a length of 12 1/2 feet and an area of 103 1/8 square feet .what is the width of the patio?
jok3333 [9.3K]
L=Length of the rectangular patio

A=Area of the rectangular patio

W=Width of the rectangular patio

f=foot

------------------------------------

L=25/2f

A=(103+1/8)f²=(824/8+1/8)f²=825/8f²

-----------------------------

Now, A=L*W=825/8f²

-------------------------------

<em>USE BODMAS</em>

Therefore:

25/2fW=825/8f²

So...

W=(825/8f²)/(25/2f)

=33/4f
7 0
3 years ago
Read 2 more answers
Help<br> Which expression is the completely factored form of 27x^3+y^6?<br> In parenthesis form
Mrac [35]
3x^3(3) +y^6
3x^9 +y^6
6 0
4 years ago
What is the equation of a parabola with (4, 6) as its focus and y = 2 as its directrix?
antoniya [11.8K]
So  hmmm if you notice the picture below

bear in mind that, the vertex is "p" distance from the focus, and "p" distance from the directrix

now, the focus is at 4,6 and the directrix below that, meaning the parabola is vertical and opening upwards

and the vertex is half-way between the focus point and the directrix

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\&#10;\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})} \\&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;(x-4)^2=4(2)(y-4)\implies (x-4)^2=8(y-4)&#10;\\\\\\&#10;\cfrac{(x-4)^2}{8}=y-4\implies \cfrac{1}{8}(x-4)^2+4=y

4 0
4 years ago
What is the value of x for 3x + 10=2x – 1 ?
kap26 [50]

Answer:

-11

Step-by-step explanation:

3x+10=2x-1

3x-2x+10=-1

x+10=-1

x=-1-10

x=-11

5 0
3 years ago
Read 2 more answers
Explain the relationship between evolution, natural selection and mutations.
Bad White [126]

Answer:

Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Does someone knows what’s the answer?
    12·1 answer
  • Bryce had already read 10 books this year before joining a book club, and he plans to read
    7·1 answer
  • Write an expression with two terms. 1 term should have a coefficient with a variable and the other term should be constant. Name
    11·1 answer
  • If x=1-y and 3x=8-5y, what is the value of x?
    12·1 answer
  • "Nick can complete 15 homework assignments in 3 hours."
    15·2 answers
  • Can anyone help me with this question?<br>it's additional mathematics (Integration)​
    7·1 answer
  • What percent is equivalent to 1830 ? 18% 30% 60% 65%
    11·1 answer
  • EEEEeee Can someone help?
    13·2 answers
  • True or False? A circle could be circumscribed about the quadrilateral below.
    6·2 answers
  • The area of a rectangle is 36x⁷y5. If the length of the rectangle is 9x⁴y, which expression represents the width of the rectangl
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!