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astraxan [27]
3 years ago
15

He flag of a country contains an isosceles triangle.​ (recall that an isosceles triangle contains two angles with the same​ meas

ure.) if the measure of the third angle of the triangle is 45​° more than three times nbsp the measure of either of the other two​ angles, find the measure of each angle of the triangle.​ (recall that the sum of the measures of the angles of a triangle is​ 180°.)
Mathematics
2 answers:
saw5 [17]3 years ago
8 0

Answer:

27,27 and 126

Step-by-step explanation:

Given that the flag of a country contains an isosceles triangle.​

Hence two angles would be congruent.  Let the congruent angle be x

Now since sum of three angles of a triangle is 180, we have angles as

x,x,180-2x

Since third angle is 45 more than three times, we have

third angle = 180-2x

45 more than three times the equal angle = 3x+45

So we have

3x+45=180-2x\\5x=135\\x=27

Third angle = 180-2(27) =126

So angles are 27, 27 and 126

hoa [83]3 years ago
3 0

The angles are 27°, 27° and 126°

let the 2 equal angles be x then the third angle = 3x + 45

sum of 3 angles = x + x + 3x + 45 = 5x + 45 = 180

hence 5x = 180 - 45 = 135⇒ x= 135/5 = 27

the angles are 27°, 27° and 3x + 45 =81 + 45 = 126°


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Apply the zero matirx:<br> [16 -24] + [ 0 0 ]=[ x y]<br> X=? Y=?
Ainat [17]

Answer:

x = 16

y = -24

Step-by-step explanation:

Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.

So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.

Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.

Therefore, the matrix resultant from this addition is: [16   -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.

5 0
3 years ago
Draw Conclusions The decimal 0.3 represents 1. What type of number best describes 0.9, which is 3 0.3? Explain.
liraira [26]
If 0.3 = 1 then 0.9 = 3 because 0.3+0.3+0.3=the 3.
7 0
3 years ago
Find the measure of center:<br> 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25
marin [14]

Answer:

Mean : 16.75

Median: 15.5

Mode: 13

Step-by-step explanation:

<u><em>Given/To Find:</em></u>

<em>Find the measure of center:</em>

<em>9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25</em>

<u><em>Solve:</em></u>

Mean: Average

Formula: Adding all number in data then divide by the total number in data.

9 + 10 + 12 + 13 + 13 + 13 + 15 + 15 + 16 + 16 + 18 + 22 + 23 + 24 + 24 + 25 = 268

268/16 = 16.75

Median: Middle Number

Formula: Number in the middle

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

15 + 16 = 31

31/2 = 15.5

Mode: Most often number:  13

<u><em>Kavinsky</em></u>

7 0
2 years ago
Read 2 more answers
Given g(x)=8x+3 find the following g(-1) and g(2a+1)
Degger [83]

Answer:

g(-1) = -5

g(2a+1) = 16a+11

Step-by-step explanation:

Substitute the given value into the function and evaluate.

So for g(x) = 8x+3

You substitute g(-1)

So g(-1) = 8(-1)+3

That is how you get -5

Then g(2a+1)

So g(2a+1) = 8(2a+1)+3

Thats how you get 16a+11

Hope this helps. Mark as brainlist

4 0
2 years ago
Liam has to fill a hole in the ground that is 24 inches deep. He fills the hole at a rate of 6 inches in 30 minutes. Write a fun
kupik [55]

Answer:

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

Step-by-step explanation:

According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:

h(t) = h_{o}-\frac{\Delta h}{\Delta t}\cdot t (1)

Where:

h(t) - Current depth of the hole, measured in inches.

h_{o} - Initial depth of the hole, measured in inches.

\Delta h - Filled level, measured in inches.

\Delta t - Filling time, measured in hours.

t - Time, measured in hours.

If we know that h_{o} = 24\,in, \Delta h = 6\,in and \Delta t = 0.5\,h, then the function that models the depth of the hole is:

h(t) = 24 - 12\cdot t

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

6 0
3 years ago
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