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rosijanka [135]
3 years ago
13

Use the number line to find 3/4 × 2/5. Label all the parts above and below.

Mathematics
2 answers:
zhuklara [117]3 years ago
8 0

Answer:

3/4 × 2/5 = 3/10

Step-by-step explanation:

3/4 × 2/5 is equivalent to 3/4 of 2/5

First, you have to divide the number line in 5 parts, and locate 2/5 (see figure attached)

Next, you have to divide in 4 parts the segment that represents 2/5, and locate 3/4 of 2/5

If you continue dividing the whole line with the previous segment length, you will divide the whole line into 10 parts.

Then, 3/4 of 2/5 is 3/10.

jeyben [28]3 years ago
3 0
5/9 is the answer because you add 3/4+2/5
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Given that ABC~LMN<br> What is the length of AC?
sleet_krkn [62]

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

\frac{AB}{LM} = \frac{AC}{LN}

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

\frac{5}{10} = \frac{x + 5}{3x + 3}

Cross multiply

5(3x + 3) = 10(x + 5)

15x + 15 = 10x + 50 (distributive property)

Collect like terms

15x - 10x = -15 + 50

5x = 35

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

6 0
3 years ago
One solution to a quadratic function, h, is given.
Margaret [11]

Answer:

B. The other solution to function h is -4-i\,7.

Step-by-step explanation:

From Algebra, we remember that quadratic functions of the form a\cdot x^{2}+b\cdot x + c has solutions of the form:

x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}, where both are complex if and only if \sqrt{b^{2}-4\cdot a \cdot c}< 0.

Hence, if one solution of the quadratic function is -4+i\,7, then the other solution is -4-i\,7. The correct answer is B.

7 0
3 years ago
kayla wrote a three-digit number.the value of the digit in the hundreds place is 6 hundreds. the digit in the tens place is 3 le
Aleks04 [339]
336 is kaylas number, hope this helps
5 0
3 years ago
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What is 3/4f + 5 = -5
anyanavicka [17]
<span>3/4f + 5 = -5
Subtract 5 from both sides
3/4f= -10
Divide both sides by 3/4 so that the only thing remaining on the left side is the variable f.
Final Answer: f= 40/3 or 13 1/3 *Both answers are equivalent to each other.</span>
5 0
4 years ago
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What is the scale factor of the dilation?
VLD [36.1K]
The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)

The scale factor k can be obtained from any one of the ratios:
scale\, factor\, =\, k\, = \frac{OD'}{OD}=\frac{OE'}{OE}=\frac{OF'}{OF}=\frac{OG'}{OG}=\frac{1}{2}
6 0
3 years ago
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