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vitfil [10]
4 years ago
6

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
Katyanochek1 [597]4 years ago
3 0

the length of DE would be 4 units, since it is half of AC, which is 8 units.

alisha [4.7K]4 years ago
3 0

Answer:

DE=\text{4 units}

Step-by-step explanation:

We have been given that triangle ABC is an isosceles triangle with AB=BC. We are also told that D and E are midpoints of AB and BC respectively.

To find the length of segment DE, we will use mid-segment theorem, which states that length of line segment joining midpoints of two sides of triangle is half the measure of third side of triangle.

So we can set an equation to find the length of DE as:

DE=\frac{1}{2}\times AC

DE=\frac{1}{2}\times\text{8 units}

DE=\text{4 units}

Therefore, the length of DE is 4 units.

You might be interested in
Otis plans to make 3 batches of sidewalk chalk How much plaster of paris does he need
den301095 [7]

Answer:

4\frac{1}{2} cups plaster of paris.

Step-by-step explanation:

Given:

for one batch of sidewalk chalk = 1\frac{1}{2} cup plaster of paris.

Number of bathes = 3

We need to find quantity of plaster of paris.

Solution:

For making 1 batch of sidewalk chalk = 1\frac{1}{2} cup plaster of paris.

For making 3 batches of sidewalk chalk = 3\times 1\frac{1}{2} cup plaster of paris.

= 3\times \frac{2\times 1+1}{2}

= 3\times \frac{2+1}{2}

= 3\times \frac{3}{2}

= \frac{3\times 3}{2}

= \frac{9}{2}

=4\frac{1}{2}

Therefore, he needed 4\frac{1}{2} cups plaster of paris.

5 0
4 years ago
Find the values of k so that each remainder is three. <br> 10. (x^2+ 5x + 7) = (x + k)
Goryan [66]

Answer:

k=1\text{ or } k=4

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).

We are dividing:

(x^2+5x+7)\div(x+k)

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

(-k)^2+5(-k)+7=3

Simplify:

k^2-5k+7=3

Solve for <em>k</em>. Subtract 3 from both sides:

k^2-5k+4=0

Factor:

(k-1)(k-4)=0

Zero Product Property:

k-1=0\text{ or } k-4=0

Solve:

k=1\text{ or } k=4

So, either of the two expressions:

(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)

Will yield 3 as the remainder.

5 0
3 years ago
Pls help I will fail 10th grade
dsp73

Answer:

B) -6

Step-by-step explanation:

Placing a minus sign outside absolute value bars gives you a negative result For example, –|6| = –6, and –|–6| = –6.

3 0
3 years ago
If 25 percent of all students in the 7 Th grade have pets, and there are 40 students with pets, how many total students are in t
Marta_Voda [28]

Answer:


Step-by-step explanation:

25%=40

25x4=100%

40x4=160 students

4 0
3 years ago
Is 2/6 equivalent to 20%
anastassius [24]

Answer:

2/6 is NOT equivalent to 20%

Step-by-step explanation:

2/6 is NOT equivalent to 20%

Reason :

To convert 2/6 to percentage

Multiply 2/6 by 100

That is ,

= 2/6 × 100   %

= 1/3 × 100   %

= 100/3 %

= 33.33%

33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%

I hope this was helpful, please mark as brainliest

8 0
3 years ago
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