Answer:
<u>Triangle W X Z is congruent to triangle Z Y X</u>
Step-by-step explanation:
- 2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent .The two triangle are said to be the mirror image of each other.
- In the simple case above the two triangles WXZ and ZYX are congruent because every corresponding side has the same length, and every corresponding angle has the same measure.
Answer:
1). (x - 4 = 13)
2). (r + 17 = 51)
3). (7/9x =28)
4). (2/3x = 2)
5). { 3(x-2) = -9 }
6). (x -1.75 = 8.85)
7). Natalie buys organic almonds priced at $77 from the grocery store. How much did
she pay the cashier, if she received $23 in change?
Step-by-step explanation:
1. add 4 on both sides and it will be x=17
2. subtract 17 on both sides and it will be x= 34
3. multiply 9/7 on both sides and it will be x= 257/7 then you divide 257 by 7 then the final answer will be x= 36
4. multiply 3/2 on both sides and it will be x=6/2 then you divide 6 from 2 and the finial answer will be x= 3
5. you will distribute 3 into x and 2 and you will be 3x-6=-9 then you will add 6 on both sides so you will get 3x=3 and then divide 3 on both side so you will get x=1
6. add 1.75 on both sides so x= 10.6
7. the equation will be 23 +x = 77 so first you will subtract 23 on both sides and x will equal 54 so Natalie paid $54
Answer:
(1, 2)
(2,2)
Step-by-step explanation:
The inequality Given :
y < 5x + 2
y ≥ One-halfx + 1
We can use the values in the options to see which satisfies the inequality :
(-1, 3) ; X = - 1, y = 3
3 < 5(-1) + 2 ; 3 < - 4 (not true)
(0, 2) ; X = 0 ; y = 2
2 < 5(0) + 2 ; 2 < 2 (nor true)
2 > 1/2(0) + 1
2 > 1 (true)
Using (1, 2).; x = 1 ; y = 2
2 < 5(1) + 2 ; 2 < 7 (true)
2 > 1/2(1) + 1 ; 2 > 1.5 (true)
Using (2, 2)
y < 5x + 2
2 < 10 + 2 ; 2 < 12 (true)
y > 1/2x + 1
2 > 1/2(2) + 1 ; 2
Answer:
I Dont Know
Step-by-step explanation:
Let, the height of the building be x ft.
Given the building casts 35ft shadow.
The height of the flagpole given which is 22ft and casts a shadow of 10ft.
Now to find the height of the building we have to equate the ratio of height and shadow of the building and the flagpole.
So we can write,
x/35 = 22/10
To find x, we have to get rid of 35 from the left side and have to move it to right side. As 35 is divided there, we will multiply 35 to both sides.
(x/35)× 35 = (22/10)×35
x = (22×35)/10
x = 770/10
x = 77
So, the height of the building is 77 ft which is the required answer here.
