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3 years ago

Write a congruence statement for the pair of triangles zyb

Mathematics

1 answer:

Ray Of Light [21]3 years ago

5 0

(triangle) ZYB to (triangle) OWR by sss

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Which of the following phrases translates to m - 7?

Sindrei [870]

m is an unknown number that is being decreased by 7.

OPTION A IS WRONG BECAUSE MATHEMATICALLY IT IS WRITTEN AS

$7 - m$

B IS WRONG BECAUSE IT MEANS

$7 - m$

C IS WRONG BECAUSE IT MEANS

$7 - m$

BUT D IS THE ANSWER BECAUSE IT MEANS

$m - 7$

SINCE m IS TREATED AS AN UNKNOWN NUMBER.

GOODLUCK!!!!

6 0

1 year ago

a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas

taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h

b = a + 4 = 2h + 4

The area of the trapezoid is given by $\frac{1}{2}(a+b)h$ . Thus,

$60 = \frac{1}{2}(2h + 2h + 4)h$

$60 = \frac{(4h + 4)h }{2}$

$60 = \frac{4h(h + 1)}{2}$

$60 = 2h(h + 1)$

$30 = h(h + 1)$

$0 = h^2 + h - 30$

$0 = (h+6)(h-5)$

$h-5 = 0$ or $h+6 = 0$

$h= 5$ or $h = -6$

We discard the negative value of h since it is a measurement and cannot be negative.

$h= 5$

$a= 2h=2\times5=10$

$b= a+4=10+4=14$

6 0

3 years ago

Which of the following coordinate planes shows the graph of the function y-3=-2(x+2)?

Ugo [173]

Answer:

-5=x

Step-by-step explanation:

3=-2 (x+2)

-2 (x+2) = -2x-4

3=-2x-4

-4 from 3 and -4

= -7=-2x

do the opposite "-2 to +2 "

=-5=x

8 0

3 years ago

Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

(-3, -129)

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

$15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)$

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. $m_1\times m_2=-1$

Slope of a line of the form $ax+by+c=0$ is given as:

$m=-\dfrac{a}{b}$

So, slopes of given lines are:

$m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}$

Using the condition:

$-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3$

Putting the value of P in equation (1):

$\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129$

So, answer is (-3, -129)

7 0

3 years ago

Solve for X. I've tried and it's confusing I'm not really that great at geometry

Nutka1998 [239]

Set as a proportion
16 = 12
------------------
5x+2 24

cross multiply
12(5x+2) = 16 * 24
60x +24 = 384
60x +24-24 = 384-24
60x =360
60x/60=360/60
x =6

To figure AB plug 6 into 5x+2
5x +2
5(6) + 2
30+2
32
AB = 32

4 0

3 years ago