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1 year ago

Find the missing angle in the diagram. Help asap (Ty!)

Mathematics

2 answers:

9966 [12]1 year ago

8 0

We need to find the last angle of the left triangle first:

All interior angles of a triangle = 180, so last angle must be 180-(66+40)=74

Now we can find the angle left to the missing one in the diagram, which can be found given that a straight line is equal to 180*, therefore the angle to the left of the missing angle is 180-(56+74)=50.

The final step is something we learned in step one, that the sum of the interior angles of a triangle is equal to 180*. Therefore, your answer is 180-(50+40)

=90.

Hope this helped :)

Mila [183]1 year ago

5 0

94 ANSWER hope this helps

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you have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty- five percent of the oil remain. How many qu

Alex Ar [27]

Answer:

7.5 quarts of olive oil remain.

Explanation:

Let

q = quarts of olive oil remain

25% of olive oil remains means that 75% has been used.

2212 quarts = 22.5 quarts used

22.5.75=q.25

Multiply both sides by .25 to isolate q.

22.5.75(.25)=q.25(.25)

5.625.75=q

7.5=q

3 0

3 years ago

Solve x: 3x-7 = 5x+13 Solve x: 7-3x = 5x+13

Svetach [21]

First you need to combine like terms
7-3x= 5x+13
step 1 add 3x
7=8x+13
step 2 subteact 13
-6=8x
step 3 divide both sides by two
x=-3/4

4 0

3 years ago

Read 2 more answers

Triangle CAT is transformed to produce triangle DOG.

PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

A reflection, then a translation.
A rotation, then a reflection.

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

Two triangles are congruent if they have the same lengths of the sides and the same angles.

In a reflection, there is a rule that changes the coordinates (x,y), but does not change the lengths of the sides of the triangles, thus they will still be congruent.
A reflection is also a special case of rotation, thus, in a rotation, the triangles are also congruent.
A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
In a dilation, the lengths of the sides are changed, thus, the triangles will not be congruent.

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

Thus, from the bullet points above, the correct options are:

A reflection, then a translation.
A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

3 0

3 years ago

25% of all who enters a race do not complete. 30 haveentered.

nikklg [1K]

Answer:

The probability that exactly 5 are unable to complete the race is 0.1047

Step-by-step explanation:

We are given that 25% of all who enters a race do not complete.

30 have entered.

what is the probability that exactly 5 are unable to complete the race?

So, We will use binomial

Formula : $P(X=r) =^nC_r p^r q^{n-r}$

p is the probability of success i.e. 25% = 0.25

q is the probability of failure = 1- p = 1-0.25 = 0.75

We are supposed to find the probability that exactly 5 are unable to complete the race

n = 30

r = 5

$P(X=5) =^{30}C_5 (0.25)^5 (0.75)^{30-5}$

$P(X=5) =\frac{30!}{5!(30-5)!} \times(0.25)^5 (0.75)^{30-5}$

$P(X=5) =0.1047$

Hence the probability that exactly 5 are unable to complete the race is 0.1047

6 0

3 years ago

Billy jogs 4/5 kilometers every minute how many kilometers does he jog after 6 1/8 minutes

finlep [7]

Answer:

He jogs 4 9/10 kilometers in 6 1/8 minutes

Step-by-step explanation:

If you multiple 4/5 time 6 1/8 you'll get 4.9, which in fraction form is 4 9/10.

6 0

3 years ago