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2 years ago

Triangle A C B is cut by bisector C D. The lengths of sides A C and C B are congruent.

Mathematics

1 answer:

navik [9.2K]2 years ago

3 0

The statements that are true are AD = BD , m∠ACD = m∠BCD , m∠CDA = m∠CDB , Option A , C and D

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , angles and vertices.

It is given a Δ ACB

CD is the angle bisector of ∠ACB

AC ≅ CB

To determine which statement are true

First it has to be proved that Δ DCB is congruent to Δ ACD

In the triangles

AC = CB (Given )

∠ACD = ∠DCB (CD is the angle bisector of ∠ACB)

DC = DC ( Common side )

thus Δ DCB is congruent to Δ ACD

Therefore the following statements are true

AD = BD (CPCTC)

m∠ACD = m∠BCD (CPCTC)

m∠CDA = m∠CDB (CPCTC)

Therefore Option A , C and D are the statements that are true .

To know more about Triangle

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Step-by-step explanation:

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Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what

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<em>The complete exercise with the answer options is as follows:</em>

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust 364

Thick crust 240

Stuffed crust 176

Pan style 260

Based on this information, of the next 3000 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

692 thick crust pizzas

Step-by-step explanation:

With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.

Type of Crust Number Sold

Thin crust 364

Thick crust 240

Stuffed crust 176

Pan style 260

total pizzas : 1040

Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas

1040→240

3000→x

x= $\frac{3000x240}{1040}$ = 692