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Galina-37 [17]
4 years ago
11

Consider kite FGHJ.

Mathematics
2 answers:
Allushta [10]4 years ago
7 0
<h3>Answer:  Choice C. a = 17, b = 6</h3>

Explanation:

A kite is any quadrilateral where we have two pairs of congruent consecutive sides (in contrast to a parallelogram where the opposite sides are congruent). Draw a segment connecting points G and J. Triangle GHJ is congruent to triangle GFJ. We'll use the fact that GH = GF, and also FJ = HJ

So,

GH = GF

2a-4 = 30

2a = 30+4

2a = 34

a = 34/2

a = 17

and

FJ = HJ

3b+6 = 24

3b = 24-6

3b = 18

b = 18/3

b = 6

uysha [10]4 years ago
5 0

Answer:

C is the answer.

Step-by-step explanation:

<em>GF = GH </em>so 30 = 2a - 4. First, you add 4 to both sides.  Then, divide by 2 on both sides.  From this, you should get a = 17.

<em>FJ = HJ</em> so 3b + 6 =24.  To find b, subtract 6 from both sides and divide by three on both sides.  This should give you b = 6.

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Find the image of (−3, 8) after a 270∘ rotation counterclockwise about the origin.
katrin [286]

Answer:

(8, 3)

Step-by-step explanation:

For a 270° rotation, the rule is that (x, y) turns into (y, -x)

In (-3, 8), -3 represents x and 8 represents y.

Our answer is then (y, -x), or (8, 3)

4 0
3 years ago
Violet obtained a 25 year fixed rate mortgage for $176,900 on a home that cost her $194,300. If the interest rate in the mortgag
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Answer:

  $1015.67

Step-by-step explanation:

The appropriate formula for the payment amount (A) for principal P and interest rate r over time period t years is ...

  A = P·(r/12)/(1 -(1 +r/12)^(-12t))

Filling in the given numbers, you get ...

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Violet's monthly payment for principal and interest is $1015.67.

5 0
3 years ago
Is 10.02 or 10.2 bigger
andrew-mc [135]
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8 0
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Find x. Round your answer to the nearest tenth of a degree.
Y_Kistochka [10]

Answer:

x ≈ 42.5

Step-by-step explanation:

We use tan∅ to solve this:

tanx° = 11/12

x° = tan^{-1}(11/12)

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3 0
3 years ago
Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative invers
monitta

Answer:

See Explanation

Step-by-step explanation:

a) Additive inverse of −2

  • the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.
  • So the Additive inverse of -2 is 2. ∴ -2+2=0

b) Additive identity of −5

  • Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number.
  • -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.

c) additive inverse of 3

  • Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

d). multiplicative identity of 19

  • an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied
  • Multiplicative identity if 19 is 1 only, since 19 x 1 = 19.

e) multiplicative inverse of 7

  • Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

d)  | 11-5|×|1-5|

  • | 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24

8 0
3 years ago
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