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3 years ago

By which rule are these triangles congruent?

Mathematics

2 answers:

Lisa [10]3 years ago

5 0

Answer:

From the picture I am pretty sure it is SAS because you can see on the triangle is has two sides and an included angle so that's why it is SAS because SAS = Side, Included angle, Side.

Step-by-step explanation:

Don't take my word for it, you can check on khan academy they have many videos about this but I am almost positive that I am correct so you should be fine.

alexira [117]3 years ago

5 0

Answer:

(B) ASA rule

Step-by-step explanation:

Given: It is given that ∠JHC is congruent to ∠FGC, HC=CG.

To find: ΔJHC≅GFC

Solution: It is given that ∠JHC is congruent to ∠FGC, HC=CG, thus

Taking ΔJHC and GFC, we have

∠JHC=∠FGC (given)

HC=CG (given)

∠JCH=∠GCF (vertically opposite angles)

Therefore, By ASA rule of congruency,

ΔJHC≅GFC

Hence, option (B) is correct.

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Can anyone explain to me how to do this?

Ipatiy [6.2K]

Answer:

x = 12

Step-by-step explanation:

The angle formed by two chords is half the sum of the intercepted arc angles.

m∠UST = ½ (mVL + mUT)

5x + 18 = ½ (66 + 8x − 6)

10x + 36 = 60 + 8x

2x = 24

x = 12

3 0

3 years ago

Calculate m∠ABC and m∠CBD, what is the value of x?

VladimirAG [237]

Answer:

90°-x°=180°[by linear pair]

x=180°-90°

x=90°

angle cbd=45°

45°- (x+5)°=90°

x+5=90-45

x+5=45

x=45-5

x=40

angle abc

x+5

40+5

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7 0

2 years ago

Read 2 more answers

The leg of a right triangle is 3 units and the hypotenuse is 7 units. What is the length, in units, of the other leg of the tria

attashe74 [19]

7^2 = 3^2 +x^2

49 = 9 +x^2

x^2 = 49-9 =40

x = square root of 40

4 0

3 years ago

Adam and his dad share the cost of the meal in the ratio of 2:3. Adam’s dad pays £52.20. What is the total cost of the meal

Ne4ueva [31]

We have to calculate the total cost of the meal. We know that Adam ( A ) and his dad ( D ) share the cost of the meal in the ratio 2 : 3 and that Adam`s dad pays 52.20 Pounds. So A : D = 2 : 3; A : 52.20 = 2 : 3. Using the cross products, A * 3 = 2 * 52.20; A * 3 = 104.40; A = 104.40 : 3; A = 34.80 Pounds. Finally, A + D = 34.80 + 52.20 = 87.00. Answer: The total cost of the meal is 87 Pounds<span>. </span>

6 0

4 years ago

Round 8070 to the nearest thousand

enot [183]

Answer:8000

Step-by-step explanation:

Here's the general rule for rounding: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

6 0

3 years ago