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pickupchik [31]
3 years ago
11

1. What is AD/AB in simplest form

Mathematics
2 answers:
LuckyWell [14K]3 years ago
7 0

Answer:

1.D-3

2.A-4

3.C-3

4.A-4

5.B-192cm  

just took the test 100% correct

Step-by-step explanation:

Step2247 [10]3 years ago
6 0
This is the concept of algebra: The answers to the questions will be as follows:
1. What is AD/AM in the simplest form:
AD/AB is the ratio of AD to AB. This will calculated as follows:
AD=9 units
AB=3 units
thus:
9/3=3
Hence, we conclude that the answer is D. 3

2] What is slope of BE/ slope of AE in simplest form:
slope=(Δy-axis)/(Δx-axis)
slope of AE
=(5-0)/(4-0)
=5/4
slope BE
slope=(5-0)/(4-3)=5/1=5
therefore the ratio of the two slope will be:
BE/AE
=5/(5/4)
=4
The answer is A.4

3. What is the value of x in the proportion (x-1)/5=(4x+2)/35?
To get the value of x we solve the above proportion:
(x-1)/5=(4x+2)/35
35(x-1)=5(4x+2)
35x-35=20x+10
putting like terms together we get:
35x-20x=10+35
15x=45
dividing both sides by 15
x=45/15
x=3
Hence the answer is B.3

4. What is the value of x in the proportion:
(x+1)/(x+3)=15/21
to get the value of x we solve the above:
first we begin by cross multiplying the proportion, this will give us:
21(x+1)=15(x+3)
21x+21=15x+45
putting like terms together we get:
21x-15x=45-21
6x=24
dividing both sides by 6 we get
x=4
∴ x=4

5. The lengths of the sides of a triangle are in extended ratio 3:10:12. The perimeter is 400 cm. What is the length of the longest side in cm.
solution:
Here we introduce the variable x such that the perimeter is:
3x+10x+12x=400
25x=400
x=400/25
x=16
The longest side will be:
12×16=192 cm


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natita [175]

Answer:

The correct answer is: \Delta BDE \cong \Delta BFK by <em>rule</em> ASA rule of congruence.

Step-by-step explanation:

First let us prove \Delta BDE \cong \Delta BFK by rule ASA (rule of congruence).

<u>Congruent side:</u>

\overline{BD} \cong \overline{BF} (Given)

<u>Congruent angles:</u>

1. By definition of perpendicular,

\angle{BFK} = 90 \textdegree \ (Since \ \overline{FK} \ is \ perpendicular \ to \ \overline{AB} \ (\overline{FK} \perp \overline{AB} =Given))

Also,

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\angle{BDE} \cong \angle{BFK}

or you can say,

\angle{D} \cong \angle{F}

2. Common angle between \Delta BDE \ and \ \Delta BFK is \angle{B}

In a nutshell, in \Delta BDE,

\angle{B} (Angle)

\overline{BD} (Side)

\angle{BDE} (Angle)

are congruent to the following angle, side and angle of \Delta BFK:

\angle{B} (Angle)

\overline{BF} (Side)

\angle{BFK} (Angle)

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5 0
3 years ago
Read 2 more answers
find how many quarts of 5% butterfat milk and 2% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk
Karo-lina-s [1.5K]

We need 75 quarts of 3% butterfat milk. How much of 2% and 5% do we need to mix? (t = 2% and f = 5%)

A) t + f = 75

B) .02 t + .05 f = (.03 * 75)

B) .02 t + .05 f = 2.25


Solving for t and f:

t = 50 quarts of 2 % and

f = 25 quarts of 5%


Double-Check

50 * .02 = 1 quart of buttermilk

25 * .05 = 1.25 quarts of buttermilk


2.25 quarts divided by 75 quarts = 3 % buttermilk



6 0
3 years ago
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