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Mkey [24]
2 years ago
12

A, B, C, D are points on a line.

Mathematics
1 answer:
mihalych1998 [28]2 years ago
6 0

The points A, B, C and D are collinear points

The length of the segment AD is 7 units

<h3>How to determine the length AD?</h3>

The given parameters are:

AB = 1

BC = 2

CD = 4

Because the points are on the same line, then the following is the possible equation

AD = AB + BC + CD

Substitute known values

AD = 1 + 2 + 4

Evaluate the sum

AD = 7

Hence, the length of the segment AD is 7 units

Read more about line segments at:

brainly.com/question/14366932

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Semmy [17]
Look on side youll see the + and -

5 0
4 years ago
2. A sculptor is planning to make two triangular prisms out of steel. The sculptor will use ΔABC for the bases of one prism and
Phoenix [80]

Answer:

a) SAS

b) Volume of DEF is 4 times the Volume of ABC

Step-by-step explanation:

a) since they have one same/congruent angle (angle B and angle E) and other two sides are in the same ratio, they are similar by SAS similarity theorem.

40/20 = 30/15 = 2

Therefore Δ ABC is similar to Δ DEF

b) Volume of a prism

= base area × height

Let height be 'h cm'

With Base ABC:

Volume = ½×20×15×h = 150h cm³

With Base DEF:

Volume = ½×40×30×h = 600h cm³

600h/150h = 4

Prism with base DEF has a greater volume; it's 4 times of the volume of the prism with base ABC

7 0
4 years ago
A factory has three machines that all manufacture the same engine part. From long historical records the company has determined
Alex Ar [27]

Answer:

Step-by-step explanation:

P(D/M₁) = .04 ( probability of defect from a 1 st machine )

P(D/M₂) = .06

P(D/M₃) = .01

P( M₁ )= .3 ( probability of manufacture from 1 st machine )

P(M₂) = .2

P(M₃)= .5

P( M₁/D) ( Probability of manufacture from 1 st machine , given it is defective )

= P( M₁ )xP(D/M₁) / [P( M₁ )xP(D/M₁) +P( M₂ )xP(D/M₂)+P( M₃ )xP(D/M₃)]

= .3 x .06 / .3 x .06 + .2 x .06 + .5 x .01

= .018 / .035

= 18/35

3 0
3 years ago
Solve for x.<br><br><br><br> 2x/3 + 1 = 3<br><br> x = 1 <br> x = 6<br> x = 3<br> x = 2
snow_tiger [21]

Answer:

your answer is x = 3

8 0
4 years ago
What is the value of x in the triangle
lorasvet [3.4K]

The value of x is 24.

<h3>What is Trigonometry?</h3>

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Given:

P= 12√2

angle =45

Using trigonometry

sin 45= P/H

1/√2 = 12√2/H

H= 12√2*√2

H= 12*2

H= 24

Hence, the value of x is 24.

Learn more about this concept here:

brainly.com/question/12732278

#SPJ1

8 0
2 years ago
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