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2 years ago

13.) Write a Paragraph proof ( Thanks!!)

Mathematics

1 answer:

viva [34]2 years ago

8 0

Step-by-step explanation:

Use triangle congruency:

BC=EC, AC=DC - Given

m∠DCE = m∠ACB because they are vertical angles

Therefore ΔABC ≅ ΔDEC because of Side-Angle-Side congruency

AB=DE because corresponding parts of congruent triangles are also congruent (CPCTC)

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Solve. t - (- 10) = 9

Gekata [30.6K]

T - ( - 10) = 9
t + 10 = 9
t = 9 - 10
t = -1

----------------------------------
Answer: t = -1
----------------------------------

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2 years ago

Read 2 more answers

Identify the domain and range of each relation. Use a mapping diagram to determine whether the relation a function.

Xelga [282]

Answer:

Domains- 6, 5, 1, 7

Ranges- -7, -8, 4, 5

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3 years ago

Name the ray in TWO different ways.<br> M N P

Paha777 [63]

MP
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2 years ago

Find the component form of the vector that translates P(4,5) to p'.

Veronika [31]

Answer:

Component form : (-7 , 2)

Step-by-step explanation:

P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)

4 + x = -3

x = -3 - 4

x = -7

5 + y = 7

y = 7 - 5

y = 2

Vector form : -7i + 2j

Component form : (-7 , 2)

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2 years ago

Use a paragraph, flow chart, or two-column proof to prove the angle congruency. Given: ∠ CXY ≅ ∠ BXY

Llana [10]

Answer:

See explanation

Step-by-step explanation:

Consider triangles CAX and BAX. In these triangles,

$\overline{AC}\cong \overline{AB}$ - given
$\angle CAX\cong \angle BAX$ - given
$\overline{AX}\cong \overline{AX}$ - reflexive property

By SAS postulate, $\triangle CAX\cong \triangle BAX$

Congruent triangles have conruent corresponding parts. So,

$\overline{CX}\cong \overline{BX}$

Consider triangles CXY and BXY. In these triangles,

$\overline{CX}\cong \overline{BX}$ - proven
$\angle CXY\cong \angle BXY$ - given
$\overline{XY}\cong \overline{XY}$ - reflexive property

By SAS postulate, $\triangle CXY\cong \triangle BXY$

Congruent triangles have conruent corresponding parts. So,

$\angle XCY\cong \angle XBY$

5 0

2 years ago