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frosja888 [35]
3 years ago
13

Triangle DEF has an angle D measuring 25 degrees and an angle E

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

The angle F of the triangle DEF measures 105 degrees.

Step-by-step explanation:

Given that triangle DEF has an angle D measuring 25 degrees and an angle E measuring 50 degrees, to determine what is the measure of angle F in degrees, knowing that the sum of the internal angles of every triangle gives a total of 180 degrees, we must perform the following calculation:

180 - 50 - 25 = F

130 - 25 = F

105 = F

Therefore, the angle F of the triangle DEF measures 105 degrees.

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What would x be?????
yarga [219]

Answer:

  12 cm

Step-by-step explanation:

The square of the length of the tangent segment is equal to the product of near and far distances to the circle from the point of intersection of the secant and tangent:

  (8 cm)^2 = (4 cm)(4 cm +x)

  16 cm = 4 cm +x . . . . . . divide by 4 cm

  12 cm = x . . . . . . . . . . . . subtract 4 cm

6 0
3 years ago
Which of the following inequalities can be used to represent a number x that is less than or equal to 8 and greater than –3?
erastovalidia [21]
I think its -3 < x ≤ 8
7 0
3 years ago
What’s the given m ABC = 70 and m ADC = 46
uysha [10]

Answer:

Step-by-step explanation:

Properties of a kite;

1). A kite has one pair of equal angles.

2). A kite has two pairs of adjacent sides.

3). Diagonals of a kite intersect at 90°.

4). Kite has at least one diagonal that bisects the opposite angles.

It's given in the question,

m∠ABC = 70° and m∠ADC = 46°

By the property number -4,

m∠2 = m∠3 = \frac{70}{2} = 35°

m∠8 = m∠9 = \frac{46}{2} = 23°

By the property number - 3,

m∠4 = 90°

By the property of interior angles in a triangle,

m∠3 + m∠4 + m∠5 = 180°

35° + 90° + m∠5 = 180°

125° + m∠5 = 180°

m∠5 = 55°

Similarly, m∠1 + m∠2 + 90° = 180°

m∠1 + 35° + 90° = 180°

m∠1 = 55°

Now m∠6 + 90° + m∠8 = 180°

m∠6 + 90° + 23° = 180°

m∠6 = 180 - 113 = 67°

Therefore, m∠6 = m∠7 = 67°

3 0
3 years ago
Given ​ f(x) = x^2 + 14x + 40 ​. Enter the quadratic function in vertex form in the box. f(x)=
finlep [7]
Recall that the vertex form of a quadratic function (or parabolic function) is equal to

f(x) = a(x - h)^{2} + k

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.

One concept that we must remember when completing the square is that

(a + b)² = a² + 2ab + b²

So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.

So, going back to the function, we have

f(x) = (x^{2} + 14x + 40 + 0)
f(x) = (x^{2} + 14x + 40 + 49 - 49)
f(x) = (x^{2} + 14x + 49) + 40 - 49
f(x) = (x + 7)^{2} - 9

Thus, we have derived the vertex form of the function. 

Answer: f(x) = (x + 7)² - 9
6 0
3 years ago
Read 2 more answers
Please help for test due today
krek1111 [17]
I don’t really know, but it could be b or c. If none then just pick a question :D
3 0
2 years ago
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