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Ivan
3 years ago
9

Find angle prs and angle qrs​

Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0
I really don’t know I’m just tryna get points but sorry
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7. In the accompanying diagram of rhombus CDEF, diagonal FD is drawn and the
tatiyna

Answer:

m∠CFD is 70°

Step-by-step explanation:

In the rhombus

  • Diagonals bisect the vertex angles
  • Every two adjacent angles are supplementary (their sum 180°)

Let us solve the question

∵ CDEF is a rhombus

∵ ∠E and ∠F are adjacent angles

→ By using the second property above

∴ ∠E and ∠F are supplementary

∵ The sum of the measures of the supplementary angles is 180°

∴ m∠E + m∠F = 180°

∵ m∠E = 40°

∴ 40° + m∠F = 180°

→ Subtract 40 from both sides

∵ 40 - 40 + m∠F = 180 - 40

∴ m∠F = 140°

∵ FD is a diagonal of the rhombus

→ By using the first property above

∴ FD bisects ∠F

→ That means FD divides ∠F into 2 equal angles

∴ m∠CFD = m∠EFD = \frac{1}{2} m∠F

∴ m∠CFD = \frac{1}{2} (140°)

∴ m∠CFD = 70°

6 0
3 years ago
Solve the system of linear equations using elimination.<br> -5x + 3y = -19<br> -x – 3y = -11
coldgirl [10]
3z=5.-x3y-z=-3.2x=6 there you go
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Use the inequality below to answer the question. 0.08 g + 0.2 &lt; 5 Which set of values contain possible solutions for g?
Kazeer [188]

Answer: g<22.5

Step-by-step explanation:

Isolate the variable by dividing each side by the factor that don’t contain the variable.

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How many tenths are in 15.03?
iren [92.7K]

There are (150 and 3/10) tenths in 15.03 .

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Consider the matrix. What is |j| ?
Basile [38]

Answer:

- 28

Step-by-step explanation:

Determinant of matrix J is

- 2(5) - 3(6) = - 28

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3 years ago
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