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KengaRu [80]
3 years ago
9

Estimate 1/4 times 21

Mathematics
1 answer:
olga55 [171]3 years ago
5 0

Answer:

63/4 or 15.75 or 153/4.

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A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates
I am Lyosha [343]

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points (x_1,y_1) and (x_2,y_2) in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Point G divide the line segment FH in 8:2. Using section formula, we get

G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)

G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)

G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)

G=\left(4.8,4.4\right)

Therefore, the coordinates of point G are (4.8, 4.4).

4 0
2 years ago
Drag expressions into order to show a way to find 3 × 56.
lina2011 [118]
As we could "drag" these together, we could then do it the easy way.

  56
+56
+56
-------
168
------------------------

Or we could also do the following:

56*3:

6*3= 18.

Carry the one. 

5*3 = 15+1 (which was carried). = 16

(16+8) = 168





7 0
3 years ago
Read 2 more answers
Are these lines parallel
raketka [301]

Answer:

yes, they are parallel.

equation form is:

x=6

y=2

Step-by-step explanation:


7 0
3 years ago
PLEASE HELP I WILL MARK BRANLIEST
Finger [1]

Answer:

SAS

Step-by-step explanation:

We must prove that triangles ABC and EDC are congruent.

Since BD bisects AE, then AC is congruent with CE.

Since AE bisects BD, then BC is congruent with CD

Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.

Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.

Answer: SAS

4 0
2 years ago
A concert starts at 7:00 p.M. The chorus performs for 30 minutes. There is a 15-minute break and then the band performs for 30 m
True [87]

Answer:

8:15 pm

Step-by-step explanation:

A concert starts by 7:00pm

They perform for 30 minutes

There is a 15 minutes break

The band performs for another 30 minutes

Hence the concert will end by 8:15 pm

5 0
3 years ago
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