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maria [59]
3 years ago
14

Please help me with this. Work included. Will give brainliest.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer:

this is the answer for 5. y=2x−5

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Please solve these questions for me. i am having a difficult time understanding.
s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

\angle AED = \angel BEC ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

\angle ABC = 90^{\circ}

In ΔDBC

BC=DC (Given)

So,\angle CDB=\angle DBC(Opposite angles of equal sides are equal)

So,\angle CDB=\angle DBC=x

So,\angle CDB+\angle DBC+\angle BCD = 180^{\circ} (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So,\angle CDB=\angle DBC=x = 65^{\circ}

Now,

\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90

So,\angle ABD=90-x=90-65=25^{\circ}

In ΔABD

AB = BD (Given)

So,\angle BAD=\angle BDA(Opposite angles of equal sides are equal)

So,\angle BAD=\angle BDA=y

So,\angle BAD+\angle BDA+\angle ABD = 180^{\circ}(Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

8 0
4 years ago
You are gathering data in the store, recording which shirt is tried on the most. The data you gather is... A) bivariate B) categ
borishaifa [10]

Answer:

(D) Quantitative

Step-by-step explanation:

Bivariate data involves two types of variables. Categorical data will have a number of different categories. Continuous data usually includes a range of values so is likely to be in decimals. Quantitative data will be collected in this scenario as it will be calculated the number of times each shirt is tried on.

8 0
3 years ago
11 fewer than a number b
Verdich [7]

Answer:

b-11

Step-by-step explanation:

is that what the question is asking for?

6 0
3 years ago
Mickey works in a square shaped office. The area of his office is 110.25 ft2. What is the length of one side of Mickey’s office?
krek1111 [17]

Answer: A formula that can be used to find the answer is (x Squared = 110.25) So (x times x = 110.25) 10.5 is the length of one side because 10.5 squared = 110.25.

Answer is 10.5


4 0
3 years ago
50 km/h to miles per hour
satela [25.4K]
31.0686 miles per hours
3 0
3 years ago
Read 2 more answers
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