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
jeka94
3 years ago
5

Maths help PLZZ!!!

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Triangle ABC is an isosceles triangle.

Solution:

Given data:

AB is parallel to CD and AC is the transversal.

∠ABC = 70° and ∠ACD = 55°

<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>

∠BAC ≅ ∠ACD

m∠BAC = m∠ACD

m∠BAC = 55°

<em>Sum of the angles in a straight line = 180°</em>

m∠ACD + m∠ACB + m∠ABC = 180°

55° + m∠ACB + 70° = 180°

m∠ACB + 125° = 180°

Subtract 125° from both sides, we get

m∠ACB = 55°

In triangle ABC,

∠BAC = 55° and ∠ACB = 55°

∠BAC = ∠ACB

<em>Two angles in the triangle are equal. </em>

Therefor triangle ABC is an isosceles triangle.

You might be interested in
Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a kitchen cabinet set i
dmitriy555 [2]

Answer:

I don't know

Step-by-step explanation:

hi

8 0
3 years ago
On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function curves up into the first quadra
aleksandr82 [10.1K]

Answer:

The graph will show an initial value that is lower on the y-axis

Step-by-step explanation:

The exponential function has the next general form:

y = ab^x

where <em>a</em> is the initial amount and <em>b</em> is the base.

If the <em>a</em> value in the function is decreased, but remains greater than 0, the y-intercept of the curve decrease.

8 0
3 years ago
Read 2 more answers
If Rs 42,000 is left after paying an income tax at the rate of 30%.Find the income
Naddika [18.5K]

Answer:

Total income is 60,000

Step-by-step explanation:

I. if paid rate is 30%, that's mean 42,000 is 70%

II. Perform ratio 70/100 = 42,000/x

                       70*x = 100 * 42,000

                        70x = 4,200,000

                            x = 60,000

III. If you perform 30/100 = x/60,000 will be 42,000

Sorry for late.

                       

5 0
2 years ago
Given the two sets, what is A ∩ B ? <br><br> A = {1, 2, 3, 4, 5, 6}<br><br> B = {2, 3, 5, 7}
topjm [15]

Answer:

2, 3, 5

Step-by-step explanation:

A∩B means "A intersection B" which includes all elements that are shared in BOTH sets. This would be the middle crossover section of a Venn diagram.

Hence, 2 and 3 and 5 are shared in both sets.

5 0
3 years ago
Which of the following pairs of functions are inverses of each other?
AnnyKZ [126]

Answer:

Step-by-step explanation:

Rearrange each function to solve for x.

Switch x and y,

The resulting equation is the inverse function.

A:

f(x) = y = 5+x

x = y-5

y = x-5

f⁻¹(x) = x-5

g(x) = 5-x ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

:::::

B:

f(x) = y = 2x-9

x = (y+9)/2

y = (x+9)/2

f⁻¹(x) = (x+9)/2

g(x) = (x+9)/2 = f⁻¹(x)

g(x) is the inverse of f(x).

:::::

C:

f(x) = y = 2/x - 6

x = 2/(y+6)

y = 2/(x+6)

f⁻¹(x) = 2/(x+6)

g(x) = (x+6)/2 ≠ f⁻¹(x)

:::::

D:

f(x) = y = x/3 + 4

x = 3y - 12

y = 3x - 12

f⁻¹(x) = 3x - 12

g(x) = 3x - 4 ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

4 0
2 years ago
Other questions:
  • At a store clearance, a woman spent less than $200 on shirts that were labeled $15 each. How many shirts did she buy? Identify t
    15·1 answer
  • Calculate the length of the circumference of a circle with radius of 2.8cm
    15·2 answers
  • Actually can ride her bike 15 miles in two hours there are 60 minutes in one hour and there are 1760 yards in 1 mile how many ya
    6·1 answer
  • Multi-Step: &lt;ABD and &lt;BDE are supplementary. Find the measures of both angles.
    9·1 answer
  • Liam has $7.50 How much does liam earn in a 35 hour work week (gross pay without benefits)
    6·1 answer
  • The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased.
    7·2 answers
  • Lf a bus travels 6 km in 10 minutes, what distance does it travel in 1second<br>​
    5·1 answer
  • A rectangle park has been constructed in downtown lilburn the designer wants to put a gravel walkway that cuts diagonally throug
    11·1 answer
  • Can someone please help me I’ve tried so many ways and still can’t get the answer.
    11·1 answer
  • Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!