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3 years ago

Can we conclude that these two triangles are congruent?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

5 0

Answer:

Yes,

Step-by-step explanation:

because two sides are shown equal to each other, a and b. Also two angles are equal to each other, x and y. Once you know two angles or two sides are equal so is the third side.

Another way is SAS (side angle side). There is side a, angle y, and side b. These are shown on both triangles.

Therefore, we can conclude these two triangles are congruent.

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Julie built a tower of blocks that stood 22.5 cm tall. Each block is 1.5 cm tall. How many blocks are in the tower? A. 16 B. 15

sergejj [24]

22.5 cm* (1 block/ 1.5 cm)= 15 blocks.

The correct answer is B. 15~

7 0

3 years ago

Read 2 more answers

In circle O, the measure of ABC is 68. what is the measure of AC?

mixer [17]

Answer:
A.
Step-by-step explanation:
We have been given a diagram. We are asked to find the measure of angle ABC.
First of all, we will find measure of major arc AC by subtracting 146 from 360 degrees.

Now, we will use tangent-tangent angle theorem to solve for ABC.
Tangent-Tangent angle theorem states that angle formed by two tangents outside a circle is half the difference of intercepted arcs.

Therefore, the measure of angle ABC is 34 degrees and option A is the correct choice.

4 0

3 years ago

Dosha is creating a new dessert that has two layers shaped like cones. The inner cone is frozen ice cream and has a diameter of

kotykmax [81]

Given:
Inner cone: diameter = 12 cm ; height = 6 cm
Outer layer: diameter = 12 cm ; height = 15 cm

Volume of a cone = π r² h/3

Inner cone: V = 3.14 * (6cm)² * 6cm/3 = 3.14 * 36cm² * 2cm = 226.08 cm³
Outer layer: V = 3.14 * (6cm)² * 15cm/3 = 3.14 * 36cm² * 5cm = 565.20 cm³

Volume of Outer layer : 565.20 cm³
less: Volume of inner layer: 226.08 cm³
Volume of cream filling: 339.12 cm³

5 0

3 years ago

A litre bottle of KERPOW washing up liquid costs £1.95.

Alex_Xolod [135]

Answer:

500 washes

Step-by-step explanation:

Number of washes

Total volume / Volume used each time
5 L / 10 mL

But remember : 1 L = 1000 mL

5000 mL / 10 mL
500 washes

4 0

2 years ago

A circular pool measures 10 feet across. one cubic yard of concrete is to be used to create a circular border of uniform width a

mina [271]

we know that

1 ft is equal to 12 in

1 cubic yard is equal to 27 cubic feet

Step 1

Find the area of the circular border of uniform width around the pool

Let

x---------> the uniform width around the pool

we know that

The diameter of the circular pool measures 10 feet

the radius r=5 ft

the area of the circular border is equal to

$A=\pi *(5+x)^{2}- \pi *5^{2} \\A= \pi *[(x+5) ^{2}-5^{2} ] \\ A= \pi * [x^{2} +10x]$

step 2

volume of the concrete to be used to create a circular border is equal to

V=1 yd^{3}-------> convert to ft^{3}

V=27 ft^{3} -------> equation 1

the depth is equal to 4 in-------> convert to ft

depth=4/12=(1/3) ft

volume of the concrete to be used to create a circular border is also equal to

V=Area of the circular border*Depth

$V= \pi * [x^{2} +10x]*(1/3)$ -------> equation 2

equate equation 1 and equation 2

$27=\pi * [x^{2} +10x]*(1/3) \\ x^{2} +10x- \frac{81}{\pi }=0$

using a graph tool------> to resolve the second order equation

see the attached figure

the solution is the point

x=2.126 ft

therefore

the answer is

The uniform width around the circular pool border is 2.126 ft

7 0

3 years ago