Mathematics: Find the m∠CDE, if m∠BCA=90 and m∠BAC=57

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02.08.2021

Find the m∠CDE, if m∠BCA=90 and m∠BAC=57

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Mathematics

Find cde, if bac=50 and bca is a right angle. a) 40 b) 50 c) 90 d) 180

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P Answered by PhD

Because of the two sets of parallel lines, two pairs of corresponding angles are congruent, and the triangles are similar.

Since m<BAC = 50, then m<DCE = 50.

mBCA = 90, and m<DEC = 90

m<DCE + m<DEC + m<CDE = 180

50 + 90 + m<CDE = 180

m<CDE = 40

Mathematics

Find the m∠cde, if m∠bac = 50° and ∠bca is a right angle. 40° 50° 90° 180°

Step-by-step answer

P Answered by PhD

< BAC = 50
< BCA = 90

interior angles of a triangle add up to 180

so < ABC = 180 - (90 + 50) = 180 - 140 = 40

and < ABC = < CDEso < CDE = 40 <===

Mathematics

Find cde, if bac=50 and bca is a right angle. a) 40 b) 50 c) 90 d) 180

Step-by-step answer

P Answered by PhD

Mathematics

Find the m∠cde, if m∠bac = 55° and ∠bca is a right angle. 35° 45° 55° 90°

Step-by-step answer

P Answered by PhD

$m\angle CDE=35^o$

Step-by-step explanation:

We have been given an image of two triangles.

Since segment AB is parallel to segment CD and segment BC is parallel to segment DE.

We can see that segment AE is transversal for our given triangles.

Since corresponding angles of two parallel formed by a transversal are always equal.

We can see that $\angle ABC$ corresponds to angle $\angle CDE$ .

$m\angle ABC=m\angle CDE$

Let us find measure of angle ABC using angle sum property.

$\angle ABC+\angle BAC+\angle BCA=180^o$

$\angle ABC+55^o+90^o=180^o$

$\angle ABC+145^o=180^o$

$\angle ABC+145^o-145^o=180^o-145^o$

$\angle ABC=35^o$

Therefore, measure of angle CDE is 35 degrees.

Mathematics

Find the m∠cde, if m∠bac = 55° and ∠bca is a right angle. 35° 45° 55° 90°

Step-by-step answer

P Answered by PhD

$m\angle CDE=35^o$

Step-by-step explanation:

We have been given an image of two triangles.

Since segment AB is parallel to segment CD and segment BC is parallel to segment DE.

We can see that segment AE is transversal for our given triangles.

Since corresponding angles of two parallel formed by a transversal are always equal.

We can see that $\angle ABC$ corresponds to angle $\angle CDE$ .

$m\angle ABC=m\angle CDE$

Let us find measure of angle ABC using angle sum property.

$\angle ABC+\angle BAC+\angle BCA=180^o$

$\angle ABC+55^o+90^o=180^o$

$\angle ABC+145^o=180^o$

$\angle ABC+145^o-145^o=180^o-145^o$

$\angle ABC=35^o$

Therefore, measure of angle CDE is 35 degrees.

Mathematics

Find the m∠cde, if m∠bac = 50° and ∠bca is a right angle. 40° 50° 90° 180°

Step-by-step answer

P Answered by PhD

< BAC = 50
< BCA = 90

interior angles of a triangle add up to 180

so < ABC = 180 - (90 + 50) = 180 - 140 = 40

and < ABC = < CDEso < CDE = 40 <===

Mathematics

Find the m∠CDE, if m∠BAC = 55° and ∠BCA is a right angle. 35° 45° 55° 90°

Step-by-step answer

P Answered by PhD

angle should be 55 degrees

Step-by-step explanation:

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?

Step-by-step answer

P Answered by PhD