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2 years ago

PLEASE HELP!!!!! Find AB and M

Mathematics

1 answer:

DENIUS [597]2 years ago

7 0

Answer:

Step-by-step explanation:

triangle ABC is an equilateral so all angles and sides are equal to each other

AB = 6

triangle DEF is an isosceles so two of its angles are equal to each other

a triangles angles add up to 180°

to find the measure of these angles we’ll write this equation:

x + x + 40 = 180

and solve for x

2x + 40 = 180

2x = 140

x = 70°

so mF is 70°

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Please help:

Fudgin [204]

Answer:

$\angle 1 =47^o\\\angle 2 = 133^o\\\angle 4 = 133^o$

Step-by-step explanation:

Notice that angles <1 and <3 are opposed by the vertex, which makes them of equal measure, therefore, <1 = 47 degrees.

Notice as well that angles <1 and <2 combine into a straight line, therefore, they are supplementary angles whose addition gives 180 degrees then we can find the value of angle <2 via:

$\angle 1 + \angle 2 = 180^o\\47^o + \angle 2=180^o\\\angle 2 = 180^o-47^o\\\angle 2 =133^o$

And finally, angle <4 is opposite through the vertex to angle <2, and therefore they must have the same measure. So, <4 = 133 degrees.

5 0

2 years ago

Estimate a 15% tip on a taxi ride that cost $23.25

Anettt [7]

So basically, we are looking for the amount of tip that the rider gave the driver if the driver paid a total of 23.25 dollars. So in order to get the tip, we just have to multiply the total cost of the taxi, which is 23.25, to the percentage of the tip which is 15%. So in order to get the final answer, we have to express the formula as this. 23.25 x 0.15. So if we would solve this equation, we will get an answer of 3.4875. So the tip that was given was 3.4875

7 0

2 years ago

Read 2 more answers

Carlotta subscribes to the HotBurn music service. She can download no more than 12 song files per week. Carlotta has already dow

UNO [17]

Answer:

Inequality: $x+10\leq 12$

Inequality solved: $x\leq 2$

The graph is attached.

Step-by-step explanation:

You need to remember the meaning of the inequalities symbols:

: Less than.

$>$ : Greater than.

$\leq$ : Less than or equal to.

$\geq$ : Greater than or equal to.

Let be "x" the number of more songs Carlotta can download.

According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol $\leq$ .

Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

$x+10\leq 12$

In order to solve it, you must subtract 10 from both sides:

$x+10-10\leq 12-10\\\\x\leq 2$