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son4ous [18]
3 years ago
8

What is the measure of each base angle of an isosceles triangle if its vertex angle measures 40° and its 2 congruent sides measu

re  25 units
Mathematics
2 answers:
dmitriy555 [2]3 years ago
5 0
The length of the base angle is triangle
DanielleElmas [232]3 years ago
4 0

Answer:

70 degrees

Step-by-step explanation:

since an isosceles triangle is symmetrical, i cut the triangle in half (vertically) so that it became a right triangle. so the angle sides are now 20 degrees at the top, 90 degrees (right angle, where it was cut), and x degrees. 20 + 90 + x = 180 degrees (total amount of degrees in a right triangle) x = 70 degrees.

hope this helps!

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Calculate the area of a circle with diameter of 12m
andriy [413]
A≈113.1m²
...........................113.1m²
6 0
3 years ago
I need help with this please asap
Alex

Step-by-step explanation:

We can prove that the triangles are congruent using the SAS method.

It's given that GH and JH are congruent (S)

Angle GHF and Angle IHJ are equal since they are vertically opposite (A)

It's given that FH and HI are congruent (S)

Thus, the triangles are congruent, which implies that the remaining sides are equal.

6 0
3 years ago
My friend sets out walking at a speed of $3$ miles per hour. I set out behind her $5$ minutes later at $4$ miles per hour. When
r-ruslan [8.4K]

Answer:  The answer is 0.25 miles.


Step-by-step explanation:  Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.

Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.

In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.

In 1 minute, distance travelled by my friend is

\dfrac{3}{60}=\dfrac{1}{20}~\textup{miles}.

Therefore, distance travelled by my friend in 5 minutes will be

\dfrac{1}{20}\times 5=\dfrac{1}{4}=0.25~\textup{miles}.

Thus, the answer is 0.25 miles.

3 0
2 years ago
Read 2 more answers
(2x+y=-2<br> 5x + 3y = -8<br> Solve by elimination
Effectus [21]

Answer:

y = -6, x =2

Step-by-step explanation:

To solve by elimination, you have to line both equations up together. Then, you multiply both equations until one variable is removed.

2x+y = -2

5x + 3y = - 8

There are many different ways to solve an elimination problem, but generally you should look for the simplest route. Here, I would multiply the top equation by -3.

-6x -3y = 6

5x +3y = -8

Imagine you are adding the two equations together. You end up with

-x = -2

Then solve for x. In this situation, it is fairly simple. Take out a factor of -1.

x = 2

Finally, choose one of your beginning equations and plug your new-found x value back into the equation.

2(2) +y = -2

4 + y = -2

y = -6

8 0
3 years ago
Which transformation will map figure Honto figure H? (1 point)
podryga [215]

Answer:

2) Vertical translation of 10 units

Step-by-step explanation:

Given

H and H'

Required

Which maps H to H'

First, we pick the coordinate of any point on H

H(x,y) = (4,2)

First, we pick a corresponding coordinate on H'

H'(x,y) = (4,-8)

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.

By looking at the coordinates of H and H, we have:

H: x = 2 and H':x = 2 ---  The same x coordinates

H: y = 2 and H': y = -8 --- Different y coordinates

The difference between the y coordinates is:

Difference  = H(x) - H'(x)

Difference  = H(2) - H'(2)

Difference  = 2 - (-8)

Difference  = 2 +8

Difference  = 10

Hence,

<em>2) Vertical translation of 10 units </em> is correct.

3 0
3 years ago
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