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3 years ago

Refer to the picture, including the ratios. What is the theorem that allows you to state that triangle def ~ triangle ghj ?

Mathematics

1 answer:

Slav-nsk [51]3 years ago

3 0

Answer:

It’s D

Step-by-step explanation:

Because you have two sides that are congruent and an angle giving you SAS

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Identify the vertex of y = -1 (x-4)^2 +9 and tell whether it’s a minimum or maximum

sladkih [1.3K]

Answer:

maximum at (4, 9)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - 1(x - 4)² + 9 is in this form

with vertex = (4, 9)

• If a > 1 then vertex is a minimum

• If a < 0 then vertex is a maximum

here a = - 1 , hence vertex (4, 9) is a maximum

7 0

2 years ago

Hugo is designing a frame as shown at the right. The frame has a width of x inches all the way around. Write. an expression that

Cloud [144]

The expression which shows the total area of the picture and frame is $x^{2} +72x$ +320.

Given that the width of the frame is x ,length horizontally be 20 inches and vertically be 16 inches.

We are required to find the expression which shows the total area of the picture and frame.

Expression is basically a combination of numbers, symbols, coefficients, determinants, indeterminants,etc. and are mostly not found in equal to form.

Since we are given that the width of the frame be x, So,the are of only frame will be :

Area of frame=20*x*2+16*x*2+x*x

=40x+32x+ $x^{2}$

= $x^{2}$ +72x

Area of picture=20*16=320 $inches^{2}$

The expression which shows the total area of the picture and frame is $x^{2} +72x$ +320.

Hence the expression which shows the total area of the picture and frame is $x^{2} +72x$ +320.

Learn more about expression at brainly.com/question/723406

#SPJ9

6 0

1 year ago

A ladder leans against a wall creating a 58 angle. The ladder reaches 4.5m up the wall. Calculate how long the ladder is

ELEN [110]

Answer:

Follow the steps above

8 0

3 years ago

Mary and vivian have some money. if mary gave vivan $8 they would have same amount. However if vivan gives mary $8, then mary wo

kow [346]

Answer:

Money with Mary = $28

Money with Vivan = $12

Step-by-step explanation

Money with Mary = $ m

Money with Vivan = $v

If mary gave vivan $8 they would have same amount. $ 8 is reduced from Mary's amount 'm' and $8 is added to vivan amount 'v'

m - 8 = v + 8

m = v + 8 +8

m -v = 16 ----------------(I)

If vivan gives mary $8, then mary would have 9 times as much as vivan.

9(v - 8) = m + 8

9v - 72 = m + 8

9v - m = 8 + 72

-m + 9v = 80 --------------(II)

Add equation (I) and (II). Thus m will be cancelled and we will get the value of v

(I) m - v = 16

(II) <u>-m + 9v = 80</u> {Now add}

8v = 96

v = 96/8

v = $ 12

Plugin v = 12 in equation (I)

m - 12 = 16

m = 16 +12

m =$ 28

7 0

2 years ago

What is y = -1/3x - 9

mixas84 [53]

Answer:

Step-by-step explanation:

Use the slope-intercept form

y=mx+b

to find the slope m and y-intercept b.

Slope: −13

y-intercept: (0,−9)

4 0

3 years ago