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3 years ago

Which statement can john use this figure to prove

Mathematics

1 answer:

Brums [2.3K]3 years ago

3 0

Answer:

The correct option is;

The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects

Step-by-step explanation:

With the assumption that that the question meant that ΔACD and ΔBCD are congruent, we have;

Segment $\overline {AC}$ is congruent to segment $\overline {BC}$ by Congruent Parts of Congruent Triangles are Congruent, CPCTC

Similarly, segment $\overline {DA}$ is congruent to segment $\overline {DB}$ by Congruent Parts of Congruent Triangles are Congruent, CPCTC

Therefore, the points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects

You might be interested in

Show what you know: Finding sin, cos, and tan AC20 BC16 AB12

FinnZ [79.3K]

Answer:

Step-by-step explanation:

12²+16²=144+256=400=20²

so it is a right angled triangle.

let BC bebase and AB=height or perpendicular

AC=hypotenuse

sinC=12/20=3/5=0.6

cosC=16/20=4/5=0.8

tan C=12/16=3/4=0.75

similarly sin A=16/20=4/5=0.8

cos A=12/20=3/5=0.6

tan A=16/12=4/3≈1.33

3 0

3 years ago

The perimeter of a rectangular wooden deck is 90 feet. The deck's length, l, is 5 feet less than 4 times its width, w. Which sys

lianna [129]

Answer:

The system of equation used to find the dimension of the wooden deck in feet are $\left \{ {{l=4w-5} \atop {90=2(l+w)}} \right.$ .

Step-by-step explanation:

Given:

Perimeter of deck = 90 feet.

We need to find the system of equation used to determine the dimension in feet of the wooden deck.

Solution:

Let the length of the deck be 'l'.

Let the width of the deck be 'w'.

Now Given:

The deck's length, l, is 5 feet less than 4 times its width, w.

So we can say that;

Length of the deck is equal to 4 times width minus 5.

framing in equation form we get;

$l=4w-5$ ⇒ Equation 1

Now we know that;

Perimeter of the rectangle is given by 2 times Length times width of the rectangular deck.

framing in equation form we get;

$90=2(l+w)$ ⇒ Equation 2

Hence The system of equation used to find the dimension of the wooden deck in feet are $\left \{ {{l=4w-5} \atop {90=2(l+w)}} \right.$ .

5 0

4 years ago

a ball is thrown vertically upward from the top of a 100 foot tower, with an initial velocity of 20ft/sec. Its position function

umka21 [38]

we are given

position function as

$s(t)=-16t^2+20t+100$

Since, we have to find velocity

so, we will find derivative with respect to t

$s'(t)=-16*2t+20*1+0$

$s'(t)=-32t+20$

$v(t)=-32t+20$

now, we can plug t=1

$v(1)=-32*1+20$

$v(1)=-12ft/sec$ .................Answer

6 0

3 years ago

PLEASE I WILL GIVE BRAINLIEST IF ONLY UR CORRECT.

patriot [66]

Answer:

Mary removed the dollar sign from (X.)

We know this because $4.00x$5.00=$20.00 so that’s correct and we know that $12.50x $4.00=$50.00. So, our only error here is that there is no dollar sign in our (X) numbers. So that is Mary’s mistake. We can correct it by simply adding a dollar sign to 20 to make $20.00 and adding another dollar sign to 50 to make $50.00

Step-by-step explanation:

hope this helps

3 0

3 years ago

What is the cost of 100g of rice at 95p per half kg

Kay [80]

1 kg= 1000g
threfore 100g=100/1000 kg
=0.1 kg
95p= 1/2 kg ...1/2 kg=0.5 kg
; 0.5=95
0.1=? ; (0.1*95)/0.5
=19p

6 0

4 years ago